-
1
-
-
0037154213
-
Chemical warfare between microbes promotes biodiversity
-
Czárán TL, Hoekstra RF, Pagie L. 2002 Chemical warfare between microbes promotes biodiversity. Proc. Natl Acad. Sci. USA 99, 786-790. (doi:10. 1073/pnas.012399899)
-
(2002)
Proc. Natl Acad. Sci. USA
, vol.99
, pp. 786-790
-
-
Czárán, T.L.1
Hoekstra, R.F.2
Pagie, L.3
-
2
-
-
0037062936
-
Local dispersal promotes biodiversity in a reallife game of rock-paper-scissors
-
Kerr B, Riley MA, Feldman MW, Bohannan BJM. 2002 Local dispersal promotes biodiversity in a reallife game of rock-paper-scissors. Nature 418, 171-174. (doi:10.1038/nature00823)
-
(2002)
Nature
, vol.418
, pp. 171-174
-
-
Kerr, B.1
Riley, M.A.2
Feldman, M.W.3
Bohannan, B.J.M.4
-
3
-
-
34548305141
-
Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
-
Reichenbach T, Mobilia M, Frey E. 2007 Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games. Nature 448, 1046-1049. (doi:10.1038/nature06095)
-
(2007)
Nature
, vol.448
, pp. 1046-1049
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
4
-
-
34548719708
-
The logic of animal conflict
-
Maynard Smith J, Price GR. 1973 The logic of animal conflict. Nature 246, 15-18. (doi:10.1038/246015a0)
-
(1973)
Nature
, vol.246
, pp. 15-18
-
-
Maynard Smith, J.1
Price, G.R.2
-
5
-
-
0001914344
-
Pattern and process in plant community
-
Watt AS. 1947 Pattern and process in plant community. J. Ecol. 35, 1-22. (doi:10.2307/2256497)
-
(1947)
J. Ecol.
, vol.35
, pp. 1-22
-
-
Watt, A.S.1
-
6
-
-
1142286362
-
Transition from nonliving to living matter
-
Rasmussen S, Chen L, Deamer D, Krakauer DC, Packard NH, Stadler PF, Bedau MA. 2004 Transition from nonliving to living matter. Science 303, 963-965. (doi:10.1126/science.1093669)
-
(2004)
Science
, vol.303
, pp. 963-965
-
-
Rasmussen, S.1
Chen, L.2
Deamer, D.3
Krakauer, D.C.4
Packard, N.H.5
Stadler, P.F.6
Bedau, M.A.7
-
7
-
-
0000068423
-
Allelopathy and spatial competition among coral reef invertebrates
-
Jackson JBC, Buss L. 1975 Allelopathy and spatial competition among coral reef invertebrates. Proc. Natl Acad. Sci. USA 72, 5160-5163. (doi:10.1073/pnas.72.12.5160)
-
(1975)
Proc. Natl Acad. Sci. USA
, vol.72
, pp. 5160-5163
-
-
Jackson, J.B.C.1
Buss, L.2
-
8
-
-
0025693834
-
Complex competitive relationships among genotypes of three perennial grasses: Implications for species coexistence
-
Taylor DR, Aarssen LW. 1990 Complex competitive relationships among genotypes of three perennial grasses: Implications for species coexistence. Am. Nat. 136, 305-327. (doi:10.1086/285100)
-
(1990)
Am. Nat.
, vol.136
, pp. 305-327
-
-
Taylor, D.R.1
Aarssen, L.W.2
-
9
-
-
0027036797
-
Cellular automaton models of interspecific competition of space: The effect of pattern on process
-
Silvertown J, Holtier S, Johnson J, Dale P. 1992 Cellular automaton models of interspecific competition of space: The effect of pattern on process. J. Ecol. 80, 527-534. (doi:10.2307/2260696)
-
(1992)
J. Ecol.
, vol.80
, pp. 527-534
-
-
Silvertown, J.1
Holtier, S.2
Johnson, J.3
Dale, P.4
-
10
-
-
0032001896
-
Spatial aspects of interspecific competition
-
Durrett R, Levin S. 1998 Spatial aspects of interspecific competition. Theor. Popul. Biol. 53, 30-43. (doi:10.1006/tpbi.1997.1338)
-
(1998)
Theor. Popul. Biol.
, vol.53
, pp. 30-43
-
-
Durrett, R.1
Levin, S.2
-
11
-
-
34548686529
-
Mutual feedbacks maintain both genetic and species diversity in a plant community
-
Lankau RA, Strauss SY. 2007 Mutual feedbacks maintain both genetic and species diversity in a plant community. Science 317, 1561-1563. (doi:10.1126/science.1147455)
-
(2007)
Science
, vol.317
, pp. 1561-1563
-
-
Lankau, R.A.1
Strauss, S.Y.2
-
12
-
-
70349904205
-
Parasite-grass-forb interactions and rock-paper-scissor dynamics: Predicting the effects of the parasitic plant Rhinanthus minor on host plant communities
-
Cameron DD, White A, Antonovics J. 2009 Parasite-grass-forb interactions and rock-paper-scissor dynamics: Predicting the effects of the parasitic plant Rhinanthus minor on host plant communities. J. Ecol. 97, 1311-1319. (doi:10.1111/j.1365-2745. 2009.01568.x)
-
(2009)
J. Ecol.
, vol.97
, pp. 1311-1319
-
-
Cameron, D.D.1
White, A.2
Antonovics, J.3
-
13
-
-
0031582046
-
Allelopathy in spatial distributed populations
-
Durrett R, Levin S. 1997 Allelopathy in spatial distributed populations. J. Theor. Biol. 185, 165-171. (doi:10.1006/jtbi.1996.0292)
-
(1997)
J. Theor. Biol.
, vol.185
, pp. 165-171
-
-
Durrett, R.1
Levin, S.2
-
14
-
-
1842525243
-
Antibiotic-mediated antaginism leads to a bacterial game of rock-paper-scissors in vivo
-
Kirkup BC, Riley MA. 2004 Antibiotic-mediated antaginism leads to a bacterial game of rock-paper-scissors in vivo. Nature 428, 412-414. (doi:10.1038/nature02429)
-
(2004)
Nature
, vol.428
, pp. 412-414
-
-
Kirkup, B.C.1
Riley, M.A.2
-
15
-
-
77649275236
-
Evolutionary classification of toxin mediated interactions in microorganisms
-
Neumann GF, Jetschke G. 2010 Evolutionary classification of toxin mediated interactions in microorganisms. Biosystems 99, 155-166. (doi:10. 1016/j.biosystems.2009.10.007)
-
(2010)
Biosystems
, vol.99
, pp. 155-166
-
-
Neumann, G.F.1
Jetschke, G.2
-
16
-
-
79960639069
-
Evolution of restraint in a structured rock-paper-scissors community
-
Nahum JR, Harding BN, Kerr B. 2011 Evolution of restraint in a structured rock-paper-scissors community. Proc. Natl Acad. Sci. USA 108, 10 831-10 838. (doi:10.1073/pnas.1100296108)
-
(2011)
Proc. Natl Acad. Sci. USA
, vol.108
, pp. 10831-10838
-
-
Nahum, J.R.1
Harding, B.N.2
Kerr, B.3
-
17
-
-
0029666941
-
The rock-paper-scissors game and the evolution of alternative male strategies
-
Sinervo B, Lively CM. 1996 The rock-paper-scissors game and the evolution of alternative male strategies. Nature 380, 240-243. (doi:10.1038/380240a0)
-
(1996)
Nature
, vol.380
, pp. 240-243
-
-
Sinervo, B.1
Lively, C.M.2
-
18
-
-
0032543592
-
Modelling patch dynamics on rocky shores using deterministic cellular automata
-
Burrows MT, Hawkins SJ. 1998 Modelling patch dynamics on rocky shores using deterministic cellular automata. Mar. Ecol. Prog. Ser. 167, 1-13. (doi:10.3354/meps167001)
-
(1998)
Mar. Ecol. Prog. Ser.
, vol.167
, pp. 1-13
-
-
Burrows, M.T.1
Hawkins, S.J.2
-
19
-
-
0034688173
-
A synthetic oscillatory network of transcriptional regulators
-
Elowitz MB, Leibler S. 2000 A synthetic oscillatory network of transcriptional regulators. Nature 403, 335-338. (doi:10.1038/35002125)
-
(2000)
Nature
, vol.403
, pp. 335-338
-
-
Elowitz, M.B.1
Leibler, S.2
-
20
-
-
0242268942
-
Cyclic dynamics in a simple vertebrate predator-prey community
-
Gilg O, Hanski I, Sittler B. 2003 Cyclic dynamics in a simple vertebrate predator-prey community. Science 302, 866-868. (doi:10.1126/science. 1087509)
-
(2003)
Science
, vol.302
, pp. 866-868
-
-
Gilg, O.1
Hanski, I.2
Sittler, B.3
-
21
-
-
79951583417
-
A threespecies model explaining cyclic dominance of Pacific salmon
-
Guill C, Drossel B, Just W, Carmack E. 2011 A threespecies model explaining cyclic dominance of Pacific salmon. J. Theor. Biol. 276, 16-21. (doi:10.1016/j. jtbi.2011.01.036)
-
(2011)
J. Theor. Biol.
, vol.276
, pp. 16-21
-
-
Guill, C.1
Drossel, B.2
Just, W.3
Carmack, E.4
-
22
-
-
2342472037
-
Interaction strengths in food webs: Issues and opportunities
-
Berlow EL et al. 2004 Interaction strengths in food webs: Issues and opportunities. J. Anim. Ecol. 73, 585-598. (doi:10.1111/j.0021-8790.2004.00833.x)
-
(2004)
J. Anim. Ecol.
, vol.73
, pp. 585-598
-
-
Berlow, E.L.1
-
23
-
-
84858780507
-
Evolutionary conservation of species' roles in food webs
-
Stouffer DB, Sales-Pardo M, Sirer MI, Bascompte J. 2012 Evolutionary conservation of species' roles in food webs. Science 335, 1489-1492. (doi:10.1126/science.1216556)
-
(2012)
Science
, vol.335
, pp. 1489-1492
-
-
Stouffer, D.B.1
Sales-Pardo, M.2
Sirer, M.I.3
Bascompte, J.4
-
24
-
-
33745981794
-
Local migration promotes competitive restraint in a host-pathogen 'tragedy of the commons'
-
Kerr B, Neuhauser C, Bohannan BJM, Dean AM. 2006 Local migration promotes competitive restraint in a host-pathogen 'tragedy of the commons'. Nature 442, 75-78. (doi:10.1038/nature04864)
-
(2006)
Nature
, vol.442
, pp. 75-78
-
-
Kerr, B.1
Neuhauser, C.2
Bohannan, B.J.M.3
Dean, A.M.4
-
25
-
-
84901429041
-
Chemical warfare and survival strategies in bacterial range expansions
-
Weber MF, Poxleitner G, Hebisch E, Frey E, Opitz M. 2014 Chemical warfare and survival strategies in bacterial range expansions. J. R. Soc. Interface 11, 20140172. (doi:10.1098/rsif.2014.0172)
-
(2014)
J. R. Soc. Interface
, vol.11
, pp. 20140172
-
-
Weber, M.F.1
Poxleitner, G.2
Hebisch, E.3
Frey, E.4
Opitz, M.5
-
26
-
-
34250617077
-
Evolutionary games on graphs
-
Szabó G, Fáth G. 2007 Evolutionary games on graphs. Phys. Rep. 446, 97-216. (doi:10.1016/j. physrep.2007.04.004)
-
(2007)
Phys. Rep.
, vol.446
, pp. 97-216
-
-
Szabó, G.1
Fáth, G.2
-
27
-
-
70350566803
-
Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics
-
Roca CP, Cuesta JA, Sánchez A. 2009 Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics. Phys. Life Rev. 6, 208-249. (doi:10.1016/j.plrev.2009.08.001)
-
(2009)
Phys. Life Rev.
, vol.6
, pp. 208-249
-
-
Roca, C.P.1
Cuesta, J.A.2
Sánchez, A.3
-
28
-
-
77955711148
-
Evolutionary game theory: Theoretical concepts and applications to microbial communities
-
Frey E. 2010 Evolutionary game theory: Theoretical concepts and applications to microbial communities. Physica A 389, 4265-4298. (doi:10.1016/j.physa. 2010.02.047)
-
(2010)
Physica A
, vol.389
, pp. 4265-4298
-
-
Frey, E.1
-
29
-
-
73449112588
-
Coevolutionary games: A mini review
-
Perc M, Szolnoki A. 2010 Coevolutionary games: A mini review. Biosystems 99, 109-125. (doi:10. 1016/j.biosystems.2009.10.003)
-
(2010)
Biosystems
, vol.99
, pp. 109-125
-
-
Perc, M.1
Szolnoki, A.2
-
30
-
-
53449088232
-
Evolutionary games on minimally structured populations
-
Szöllósi GJ, Derényi I. 2008 Evolutionary games on minimally structured populations. Phys. Rev. E 78, 031919. (doi:10.1103/PhysRevE.78.031919)
-
(2008)
Phys. Rev. E
, vol.78
, pp. 031919
-
-
Szöllósi, G.J.1
Derényi, I.2
-
31
-
-
84876137675
-
Evolutionary dynamics of group interactions on structured populations: A review
-
Perc M, Gómez-Gardeñes J, Szolnoki A, Floría Y, Moreno LM. 2013 Evolutionary dynamics of group interactions on structured populations: A review. J. R. Soc. Interface 10, 20120997. (doi:10.1098/rsif. 2012.0997)
-
(2013)
J. R. Soc. Interface
, vol.10
, pp. 20120997
-
-
Perc, M.1
Gómez-Gardeñes, J.2
Szolnoki, A.3
Floría, Y.4
Moreno, L.M.5
-
32
-
-
0026613691
-
Evolutionary games and spatial chaos
-
Nowak MA, May RM. 1992 Evolutionary games and spatial chaos. Nature 359, 826-829. (doi:10.1038/359826a0)
-
(1992)
Nature
, vol.359
, pp. 826-829
-
-
Nowak, M.A.1
May, R.M.2
-
33
-
-
33845415805
-
Five rules for the evolution of cooperation
-
Nowak MA. 2006 Five rules for the evolution of cooperation. Science 314, 1560-1563. (doi:10. 1126/science.1133755)
-
(2006)
Science
, vol.314
, pp. 1560-1563
-
-
Nowak, M.A.1
-
34
-
-
79959232866
-
Why fairness pays
-
Mesterton-Gibbons M. 2010 Why fairness pays. Nature 464, 1280. (doi:10.1038/4641280a)
-
(2010)
Nature
, vol.464
, pp. 1280
-
-
Mesterton-Gibbons, M.1
-
35
-
-
84905995653
-
Costs for switching partners reduce network dynamics but not cooperative behaviour
-
Bednarik P, Fehl K, Semmann D. 2014 Costs for switching partners reduce network dynamics but not cooperative behaviour. Proc. R. Soc. B 281, 20141661. (doi:10.1098/rspb.2014.1661)
-
(2014)
Proc. R. Soc. B
, vol.281
, pp. 20141661
-
-
Bednarik, P.1
Fehl, K.2
Semmann, D.3
-
36
-
-
84899959963
-
Coaction versus reciprocity in continuous-time models of cooperation
-
van Doorn GS, Riebli T, Taborsky M. 2014 Coaction versus reciprocity in continuous-time models of cooperation. J. Theor. Biol. 356, 1-10. (doi:10. 1016/j.jtbi.2014.03.019)
-
(2014)
J. Theor. Biol.
, vol.356
, pp. 1-10
-
-
Van Doorn, G.S.1
Riebli, T.2
Taborsky, M.3
-
37
-
-
4243806384
-
Stationary pattern of vortices or strings in biological systems: Lattice version of the Lotka-Volterra model
-
Tainaka K. 1989 Stationary pattern of vortices or strings in biological systems: Lattice version of the Lotka-Volterra model. Phys. Rev. Lett. 63, 2688-2691. (doi:10.1103/PhysRevLett.63.2688)
-
(1989)
Phys. Rev. Lett.
, vol.63
, pp. 2688-2691
-
-
Tainaka, K.1
-
38
-
-
0001513650
-
Segregation in a one-dimensional model of interacting species
-
Frachebourg L, Krapivsky PL, Ben-Naim E. 1996 Segregation in a one-dimensional model of interacting species. Phys. Rev. Lett. 77, 2125-2128. (doi:10.1103/PhysRevLett.77.2125)
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2125-2128
-
-
Frachebourg, L.1
Krapivsky, P.L.2
Ben-Naim, E.3
-
39
-
-
4243814617
-
Spatial organization in cyclic Lotka-Volterra systems
-
Frachebourg L, Krapivsky PL, Ben-Naim E. 1996 Spatial organization in cyclic Lotka-Volterra systems. Phys. Rev. E 54, 6186-6200. (doi:10.1103/PhysRevE.54.6186)
-
(1996)
Phys. Rev. E
, vol.54
, pp. 6186-6200
-
-
Frachebourg, L.1
Krapivsky, P.L.2
Ben-Naim, E.3
-
40
-
-
0000422224
-
Vortex dynamics in a three-state model under cyclic dominance
-
Szabó G, Santos MA, Mendes JFF. 1999 Vortex dynamics in a three-state model under cyclic dominance. Phys. Rev. E 60, 3776-3780. (doi:10. 1103/PhysRevE.60.3776)
-
(1999)
Phys. Rev. E
, vol.60
, pp. 3776-3780
-
-
Szabó, G.1
Santos, M.A.2
Mendes, J.F.F.3
-
41
-
-
0034929938
-
Rock-scissors-paper and the survival of the weakest
-
Frean M, Abraham ED. 2001 Rock-scissors-paper and the survival of the weakest. Proc. R. Soc. Lond. B 268, 1323-1327. (doi:10.1098/rspb. 2001.1670)
-
(2001)
Proc. R. Soc. Lond. B
, vol.268
, pp. 1323-1327
-
-
Frean, M.1
Abraham, E.D.2
-
42
-
-
33750973634
-
Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
-
Reichenbach T, Mobilia M, Frey E. 2006 Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model. Phys. Rev. E 74, 051907. (doi:10. 1103/PhysRevE.74.051907)
-
(2006)
Phys. Rev. E
, vol.74
, pp. 051907
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
43
-
-
33646344950
-
Fluctuations and correlations in lattice models for predator-prey interaction
-
Mobilia M, Georgiev IT, Täuber UC. 2006 Fluctuations and correlations in lattice models for predator-prey interaction. Phys. Rev. E 73, 040903. (doi:10.1103/PhysRevE.73.040903)
-
(2006)
Phys. Rev. E
, vol.73
, pp. 040903
-
-
Mobilia, M.1
Georgiev, I.T.2
Täuber, U.C.3
-
44
-
-
34548792401
-
Competing associations in bacterial warfare with two toxins
-
Szabó P, Czárán T, Szabó G. 2007 Competing associations in bacterial warfare with two toxins. J. Theor. Biol. 248, 736-744. (doi:10.1016/j.jtbi. 2007.06.022)
-
(2007)
J. Theor. Biol.
, vol.248
, pp. 736-744
-
-
Szabó, P.1
Czárán, T.2
Szabó, G.3
-
45
-
-
36849066945
-
Noise and correlations in a spatial population model with cyclic competititon
-
Reichenbach T, Mobilia M, Frey E. 2007 Noise and correlations in a spatial population model with cyclic competititon. Phys. Rev. Lett. 99, 238105. (doi:10.1103/PhysRevLett.99.238105)
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 238105
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
46
-
-
49149112519
-
Instability of spatial patterns and its ambiguous impact on species diversity
-
Reichenbach T, Frey E. 2008 Instability of spatial patterns and its ambiguous impact on species diversity. Phys. Rev. Lett. 101, 058102. (doi:10. 1103/PhysRevLett.101.058102)
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 058102
-
-
Reichenbach, T.1
Frey, E.2
-
47
-
-
51849151589
-
Three-and four-state rock-paper-scissors games with diffusion
-
Peltomäki M, Alava M. 2008 Three-and four-state rock-paper-scissors games with diffusion. Phys. Rev. E 78, 031906. (doi:10.1103/PhysRevE. 78.031906)
-
(2008)
Phys. Rev. E
, vol.78
, pp. 031906
-
-
Peltomäki, M.1
Alava, M.2
-
48
-
-
57049109190
-
Oscillations and patterns in interacting populations of two species
-
Peltomäki M, Rost M, Alava M. 2008 Oscillations and patterns in interacting populations of two species. Phys. Rev. E 78, 050903. (doi:10.1103/PhysRevE.78.050903)
-
(2008)
Phys. Rev. E
, vol.78
, pp. 050903
-
-
Peltomäki, M.1
Rost, M.2
Alava, M.3
-
49
-
-
60349108641
-
Zero-one survival behavior of cyclically competing species
-
Berr M, Reichenbach T, Schottenloher M, Frey E. 2009 Zero-one survival behavior of cyclically competing species. Phys. Rev. Lett. 102, 048102. (doi:10.1103/PhysRevLett.102.048102)
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 048102
-
-
Berr, M.1
Reichenbach, T.2
Schottenloher, M.3
Frey, E.4
-
50
-
-
78651273254
-
Spatial rock-paper-scissors models with inhomogeneous reaction rates
-
He Q, Mobilia M, Täuber UC. 2010 Spatial rock-paper-scissors models with inhomogeneous reaction rates. Phys. Rev. E 82, 051909. (doi:10. 1103/PhysRevE.82.051909)
-
(2010)
Phys. Rev. E
, vol.82
, pp. 051909
-
-
He, Q.1
Mobilia, M.2
Täuber, U.C.3
-
51
-
-
77951591112
-
Effect of epidemic spreading on species coexistence in spatial rock-paper-scissors games
-
Wang W-X, Lai Y-C, Grebogi C. 2010 Effect of epidemic spreading on species coexistence in spatial rock-paper-scissors games. Phys. Rev. E 81, 046113. (doi:10.1103/PhysRevE.81.046113)
-
(2010)
Phys. Rev. E
, vol.81
, pp. 046113
-
-
Wang, W.-X.1
Lai, Y.-C.2
Grebogi, C.3
-
52
-
-
78650683901
-
Basins of coexistence and extinction in spatially extended ecosystems of cyclically competing species
-
Ni X, Yang R, Wang W-X, Lai Y-C, Grebogi C. 2010 Basins of coexistence and extinction in spatially extended ecosystems of cyclically competing species. Chaos 20, 045116. (doi:10.1063/1.3526993)
-
(2010)
Chaos
, vol.20
, pp. 045116
-
-
Ni, X.1
Yang, R.2
Wang, W.-X.3
Lai, Y.-C.4
Grebogi, C.5
-
53
-
-
77649237641
-
Oscillatory dynamics in rock-paper-scissors games with mutations
-
Mobilia M. 2010 Oscillatory dynamics in rock-paper-scissors games with mutations. J. Theor. Biol. 264, 1-10. (doi:10.1016/j.jtbi.2010.01.008)
-
(2010)
J. Theor. Biol.
, vol.264
, pp. 1-10
-
-
Mobilia, M.1
-
54
-
-
79951695348
-
Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games
-
Wang W-X, Ni X, Lai Y-C, Grebogi C. 2011 Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games. Phys. Rev. E 83, 011917. (doi:10.1103/PhysRevE.83.011917)
-
(2011)
Phys. Rev. E
, vol.83
, pp. 011917
-
-
Wang, W.-X.1
Ni, X.2
Lai, Y.-C.3
Grebogi, C.4
-
55
-
-
80054921640
-
Ecosystems with mutually exclusive interactions selforganize to a state of high diversity
-
Mathiesen J, Mitarai N, Sneppen K, Trusina A. 2011 Ecosystems with mutually exclusive interactions selforganize to a state of high diversity. Phys. Rev. Lett. 107, 188101. (doi:10.1103/PhysRevLett.107.188101)
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 188101
-
-
Mathiesen, J.1
Mitarai, N.2
Sneppen, K.3
Trusina, A.4
-
56
-
-
84866927414
-
Von Neummann's and related scaling laws in rock-paper-scissors type games
-
Avelino PP, Bazeia D, Losano L, Menezes J. 2012 von Neummann's and related scaling laws in rock-paper-scissors type games. Phys. Rev. E 86, 031119. (doi:10.1103/PhysRevE.86.031119)
-
(2012)
Phys. Rev. E
, vol.86
, pp. 031119
-
-
Avelino, P.P.1
Bazeia, D.2
Losano, L.3
Menezes, J.4
-
57
-
-
84862207579
-
Multiarmed spirals and multi-pairs antispirals in spatial rock-paper-scissors games
-
Jiang L-L, Wang W-X, Lai Y-C, Ni X. 2012 Multiarmed spirals and multi-pairs antispirals in spatial rock-paper-scissors games. Phys. Lett. A 376, 2292-2297. (doi:10.1016/j.physleta.2012.05.056)
-
(2012)
Phys. Lett. A
, vol.376
, pp. 2292-2297
-
-
Jiang, L.-L.1
Wang, W.-X.2
Lai, Y.-C.3
Ni, X.4
-
58
-
-
84899711369
-
Facilitators on networks reveal optimal interplay between information exchange and reciprocity
-
Szolnoki A, Perc M, Mobilia M. 2014 Facilitators on networks reveal optimal interplay between information exchange and reciprocity. Phys. Rev. E 89, 042802. (doi:10.1103/PhysRevE.89.042802)
-
(2014)
Phys. Rev. E
, vol.89
, pp. 042802
-
-
Szolnoki, A.1
Perc, M.2
Mobilia, M.3
-
59
-
-
84864411034
-
Cyclic competition of four species: Domains and interfaces
-
Roman A, Konrad D, Pleimling M. 2012 Cyclic competition of four species: Domains and interfaces. J. Stat. Mech. P07014. (doi:10.1088/1742-5468/2012/07/P07014)
-
(2012)
J. Stat. Mech.
, pp. P07014
-
-
Roman, A.1
Konrad, D.2
Pleimling, M.3
-
60
-
-
84866927726
-
Junctions and spiral patterns in generalized rock-paper-scissors models
-
Avelino PP, Bazeia D, Losano L, Menezes J, Oliveira BF. 2012 Junctions and spiral patterns in generalized rock-paper-scissors models. Phys. Rev. E 86, 036112. (doi:10.1103/PhysRevE. 86.036112)
-
(2012)
Phys. Rev. E
, vol.86
, pp. 036112
-
-
Avelino, P.P.1
Bazeia, D.2
Losano, L.3
Menezes, J.4
Oliveira, B.F.5
-
61
-
-
84863315636
-
Clonal selection prevents tragedy of the commons when neighbors compete in a rock-paper-scissors game
-
Juul J, Sneppen K, Mathiesen J. 2012 Clonal selection prevents tragedy of the commons when neighbors compete in a rock-paper-scissors game. Phys. Rev. E 85, 061924. (doi:10.1103/PhysRevE.85.061924)
-
(2012)
Phys. Rev. E
, vol.85
, pp. 061924
-
-
Juul, J.1
Sneppen, K.2
Mathiesen, J.3
-
62
-
-
84875838084
-
Interplay between partnership formation and competition in generalized May-Leonard game
-
Roman A, Dasgupta D, Pleimling M. 2013 Interplay between partnership formation and competition in generalized May-Leonard game. Phys. Rev. E 87, 032148. (doi:10.1103/PhysRevE.87.032148)
-
(2013)
Phys. Rev. E
, vol.87
, pp. 032148
-
-
Roman, A.1
Dasgupta, D.2
Pleimling, M.3
-
63
-
-
84884132729
-
Diverging fluctuations in a spatial five-species cyclic dominance game
-
Vukov J, Szolnoki A, Szabó G. 2013 Diverging fluctuations in a spatial five-species cyclic dominance game. Phys. Rev. E 88, 022123. (doi:10. 1103/PhysRevE.88.022123)
-
(2013)
Phys. Rev. E
, vol.88
, pp. 022123
-
-
Vukov, J.1
Szolnoki, A.2
Szabó, G.3
-
64
-
-
84876894758
-
Labyrinthine clustering in a spatial rock-paper-scissors ecosystem
-
Juul J, Sneppen K, Mathiesen J. 2013 Labyrinthine clustering in a spatial rock-paper-scissors ecosystem. Phys. Rev. E 87, 042702. (doi:10.1103/PhysRevE.87.042702)
-
(2013)
Phys. Rev. E
, vol.87
, pp. 042702
-
-
Juul, J.1
Sneppen, K.2
Mathiesen, J.3
-
65
-
-
84901363409
-
Evolutionary game dynamics in populations with heterogenous structures
-
Maciejewski W, Fu F, Hauert C. 2014 Evolutionary game dynamics in populations with heterogenous structures. PLoS Comput. Biol. 10, e1003567. (doi:10.1371/journal.pcbi.1003567)
-
(2014)
PLoS Comput. Biol.
, vol.10
, pp. e1003567
-
-
Maciejewski, W.1
Fu, F.2
Hauert, C.3
-
66
-
-
0037052461
-
Volunteering as red queen mechanism for cooperation in public goods game
-
Hauert C, De Monte S, Hofbauer J, Sigmund K. 2002 Volunteering as red queen mechanism for cooperation in public goods game. Science 296, 1129-1132. (doi:10.1126/science.1070582)
-
(2002)
Science
, vol.296
, pp. 1129-1132
-
-
Hauert, C.1
De Monte, S.2
Hofbauer, J.3
Sigmund, K.4
-
67
-
-
0141732289
-
Volunteering leads to rock-paper-scissors dynamics in a public goods game
-
Semmann D, Krambeck H-J, Milinski M. 2003 Volunteering leads to rock-paper-scissors dynamics in a public goods game. Nature 425, 390-393. (doi:10.1038/nature01986)
-
(2003)
Nature
, vol.425
, pp. 390-393
-
-
Semmann, D.1
Krambeck, H.-J.2
Milinski, M.3
-
68
-
-
77953349655
-
Evolutionary establishment of moral and double moral standards through spatial interactions
-
Helbing D, Szolnoki A, Perc M, Szabó G. 2010 Evolutionary establishment of moral and double moral standards through spatial interactions. PLoS Comput. Biol. 6, e1000758. (doi:10.1371/journal. pcbi.1000758)
-
(2010)
PLoS Comput. Biol.
, vol.6
, pp. e1000758
-
-
Helbing, D.1
Szolnoki, A.2
Perc, M.3
Szabó, G.4
-
69
-
-
84855298133
-
Effects of punishment in a mobile population playing the prisoners dilemma game
-
Amor DR, Fort J. 2011 Effects of punishment in a mobile population playing the prisoners dilemma game. Phys. Rev. E 84, 066115. (doi:10.1103/PhysRevE.84.066115)
-
(2011)
Phys. Rev. E
, vol.84
, pp. 066115
-
-
Amor, D.R.1
Fort, J.2
-
70
-
-
77955661714
-
Social learning promotes institutions for governing the commons
-
Sigmund K, De Silva H, Traulsen A, Hauert C. 2010 Social learning promotes institutions for governing the commons. Nature 446, 861-863. (doi:10.1038/nature09203)
-
(2010)
Nature
, vol.446
, pp. 861-863
-
-
Sigmund, K.1
De Silva, H.2
Traulsen, A.3
Hauert, C.4
-
71
-
-
79953150929
-
Phase diagrams for the spatial public goods game with pool punishment
-
Szolnoki A, Szabó G, Perc M. 2011 Phase diagrams for the spatial public goods game with pool punishment. Phys. Rev. E 83, 036101. (doi:10.1103/PhysRevE.83.036101)
-
(2011)
Phys. Rev. E
, vol.83
, pp. 036101
-
-
Szolnoki, A.1
Szabó, G.2
Perc, M.3
-
72
-
-
77955683668
-
Replicator dynamics of reward & reputation in public goods games
-
Hauert C. 2010 Replicator dynamics of reward & reputation in public goods games. J. Theor. Biol. 267, 22-28. (doi:10.1016/j.jtbi.2010.08.009)
-
(2010)
J. Theor. Biol.
, vol.267
, pp. 22-28
-
-
Hauert, C.1
-
73
-
-
79955928920
-
Reward and cooperation in the spatial public goods game
-
Szolnoki A, Perc M. 2010 Reward and cooperation in the spatial public goods game. Eur. Phys. Lett. 92, 38003. (doi:10.1209/0295-5075/92/38003)
-
(2010)
Eur. Phys. Lett.
, vol.92
, pp. 38003
-
-
Szolnoki, A.1
Perc, M.2
-
75
-
-
79051469546
-
Resolving social dilemmas on evolving random networks
-
Szolnoki A, Perc M. 2009 Resolving social dilemmas on evolving random networks. Eur. Phys. Lett. 86, 30007. (doi:10.1209/0295-5075/86/30007)
-
(2009)
Eur. Phys. Lett.
, vol.86
, pp. 30007
-
-
Szolnoki, A.1
Perc, M.2
-
76
-
-
78651263490
-
Dynamically generated cyclic dominance in spatial prisoner's dilemma games
-
Szolnoki A, Wang Z, Wang J, Zhu X. 2010 Dynamically generated cyclic dominance in spatial prisoner's dilemma games. Phys. Rev. E 82, 036110. (doi:10.1103/PhysRevE.82.036110)
-
(2010)
Phys. Rev. E
, vol.82
, pp. 036110
-
-
Szolnoki, A.1
Wang, Z.2
Wang, J.3
Zhu, X.4
-
77
-
-
84865036201
-
Stability and robustness analysis of cooperation cycles driven by destructive agents in finite populations
-
Requejo RJ, Camacho J, Cuesta JA, Arenas A. 2012 Stability and robustness analysis of cooperation cycles driven by destructive agents in finite populations. Phys. Rev. E 86, 026105. (doi:10.1103/PhysRevE.86.026105)
-
(2012)
Phys. Rev. E
, vol.86
, pp. 026105
-
-
Requejo, R.J.1
Camacho, J.2
Cuesta, J.A.3
Arenas, A.4
-
78
-
-
84899737059
-
Interfaces with internal structures in generalized rock-paper-scissors models
-
Avelino PP, Bazeia D, Losano L, Menezes J, de Oliveira BF. 2014 Interfaces with internal structures in generalized rock-paper-scissors models. Phys. Rev. E 89, 042710. (doi:10.1103/PhysRevE. 89.042710)
-
(2014)
Phys. Rev. E
, vol.89
, pp. 042710
-
-
Avelino, P.P.1
Bazeia, D.2
Losano, L.3
Menezes, J.4
De Oliveira, B.F.5
-
79
-
-
38349103957
-
Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
-
Szabó G, Szolnoki A. 2008 Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species. Phys. Rev. E 77, 011906. (doi:10.1103/PhysRevE. 77.011906)
-
(2008)
Phys. Rev. E
, vol.77
, pp. 011906
-
-
Szabó, G.1
Szolnoki, A.2
-
80
-
-
34548071942
-
Noise-guided evolution within cyclical interactions
-
Perc M, Szolnoki A. 2007 Noise-guided evolution within cyclical interactions. New J. Phys. 9, 267. (doi:10.1088/1367-2630/9/8/267)
-
(2007)
New J. Phys.
, vol.9
, pp. 267
-
-
Perc, M.1
Szolnoki, A.2
-
81
-
-
22544478776
-
Competing associations in six-species predator-prey models. J. Phys. A
-
Szabó G. 2005 Competing associations in six-species predator-prey models. J. Phys. A, Math. Gen. 38, 6689-6702. (doi:10.1088/0305-4470/38/30/005)
-
(2005)
Math. Gen.
, vol.38
, pp. 6689-6702
-
-
Szabó, G.1
-
82
-
-
0035364669
-
Phase transition in a spatial Lotka-Volterra model
-
Szabó G, Czárán T. 2001 Phase transition in a spatial Lotka-Volterra model. Phys. Rev. E 63, 061904. (doi:10.1103/PhysRevE.63.061904)
-
(2001)
Phys. Rev. E
, vol.63
, pp. 061904
-
-
Szabó, G.1
Czárán, T.2
-
83
-
-
84896710459
-
Meet the new boss, same as the old boss
-
Kaspari M, Weiser MD. 2014 Meet the new boss, same as the old boss. Science 343, 974-975. (doi:10.1126/science.1251272)
-
(2014)
Science
, vol.343
, pp. 974-975
-
-
Kaspari, M.1
Weiser, M.D.2
-
84
-
-
84896733053
-
Chemical warfare among invaders: A detoxification interaction facilitates an ant invasion
-
LeBrun EG, Jones NT, Gilbert LE. 2014 Chemical warfare among invaders: A detoxification interaction facilitates an ant invasion. Science 343, 1014-1017. (doi:10.1126/science.1245833)
-
(2014)
Science
, vol.343
, pp. 1014-1017
-
-
LeBrun, E.G.1
Jones, N.T.2
Gilbert, L.E.3
-
89
-
-
33751169535
-
-
Cambridge, MA: Harvard University Press
-
Nowak MA. 2006 Evolutionary dynamics. Cambridge, MA: Harvard University Press.
-
(2006)
Evolutionary Dynamics
-
-
Nowak, M.A.1
-
91
-
-
84877982547
-
When does cyclic dominance lead to stable spiral waves?
-
Szczesny B, Mobilia M, Rucklidge A. 2013 When does cyclic dominance lead to stable spiral waves? Eur. Phys. Lett. 102, 28012. (doi:10.1209/0295-5075/102/28012)
-
(2013)
Eur. Phys. Lett.
, vol.102
, pp. 28012
-
-
Szczesny, B.1
Mobilia, M.2
Rucklidge, A.3
-
92
-
-
0033635620
-
Testosterone, endurance, and Darwinian fitness: Natural and sexual selection on the physiological bases of alternative male behaviors in side-blotched lizards
-
Sinervo B, Milesc DB, Frankinob WA, Klukowskib M, DeNardo DF. 2000 Testosterone, endurance, and Darwinian fitness: Natural and sexual selection on the physiological bases of alternative male behaviors in side-blotched lizards. Horm. Behav. 38, 222. (doi:10.1006/hbeh.2000.1622)
-
(2000)
Horm. Behav.
, vol.38
, pp. 222
-
-
Sinervo, B.1
Milesc, D.B.2
Frankinob, W.A.3
Klukowskib, M.4
DeNardo, D.F.5
-
93
-
-
0000268789
-
Nonlinear aspects of competition between three species
-
May RM, Leonard WJ. 1975 Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 29, 243-253. (doi:10.1137/0129022)
-
(1975)
SIAM J. Appl. Math.
, vol.29
, pp. 243-253
-
-
May, R.M.1
Leonard, W.J.2
-
94
-
-
0032540078
-
Fixation in a cyclic Lotka-Volterra model
-
Frachebourg L, Krapivsky PL. 1998 Fixation in a cyclic Lotka-Volterra model. J. Phys. A 31, L287-L293. (doi:10.1088/0305-4470/31/15/001)
-
(1998)
J. Phys. A
, vol.31
, pp. L287-L293
-
-
Frachebourg, L.1
Krapivsky, P.L.2
-
97
-
-
0017030517
-
A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
-
Gillespie DT. 1976 A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22, 403. (doi:10.1016/0021-9991(76)90041-3)
-
(1976)
J. Comput. Phys.
, vol.22
, pp. 403
-
-
Gillespie, D.T.1
-
98
-
-
70349229325
-
Extinction in the Lotka-Volterra model
-
Parker M, Kamenev A. 2009 Extinction in the Lotka-Volterra model. Phys. Rev. E 80, 021129. (doi:10.1103/PhysRevE.80.021129)
-
(2009)
Phys. Rev. E
, vol.80
, pp. 021129
-
-
Parker, M.1
Kamenev, A.2
-
99
-
-
84861873146
-
Extinction in neutrally stable stochastic Lotka-Volterra models
-
Dobrinevski A, Frey E. 2012 Extinction in neutrally stable stochastic Lotka-Volterra models. Phys. Rev. E 85, 051903. (doi:10.1103/PhysRevE.85.051903)
-
(2012)
Phys. Rev. E
, vol.85
, pp. 051903
-
-
Dobrinevski, A.1
Frey, E.2
-
100
-
-
28844506643
-
Coevolutionary dynamics: From finite to infinite populations
-
Traulsen A, Claussen JC, Hauert C. 2005 Coevolutionary dynamics: From finite to infinite populations. Phys. Rev. Lett. 95, 238701. (doi:10. 1103/PhysRevLett.95.238701)
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 238701
-
-
Traulsen, A.1
Claussen, J.C.2
Hauert, C.3
-
101
-
-
38949107449
-
Cyclic dominance and biodiversity in well-mixed populations
-
Claussen JC, Traulsen A. 2008 Cyclic dominance and biodiversity in well-mixed populations. Phys. Rev. Lett. 100, 058104. (doi:10.1103/PhysRevLett. 100.058104)
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 058104
-
-
Claussen, J.C.1
Traulsen, A.2
-
102
-
-
77958590996
-
Imitation, internal absorption and the reversal of local drift in stochastic evolutionary games
-
Galla T. 2011 Imitation, internal absorption and the reversal of local drift in stochastic evolutionary games. J. Theor. Biol. 269, 46-56. (doi:10.1016/j. jtbi.2010.09.035)
-
(2011)
J. Theor. Biol.
, vol.269
, pp. 46-56
-
-
Galla, T.1
-
103
-
-
0002027029
-
A new evolutionary law
-
Van Valen L. 1973 A new evolutionary law. Evol. Theor. 1, 1-30.
-
(1973)
Evol. Theor.
, vol.1
, pp. 1-30
-
-
Van Valen, L.1
-
104
-
-
0028991965
-
Evolutionary cycling in predator-prey interactions: Population dynamics and the red queen
-
Dieckmann U, Marrow P, Law R. 1995 Evolutionary cycling in predator-prey interactions: Population dynamics and the red queen. J. Theor. Biol. 176, 91-102. (doi:10.1006/jtbi.1995.0179)
-
(1995)
J. Theor. Biol.
, vol.176
, pp. 91-102
-
-
Dieckmann, U.1
Marrow, P.2
Law, R.3
-
105
-
-
77956466303
-
Chaotic red queen coevolution in three-species food chains
-
Dercole F, Ferriére R, Rinaldi S. 2010 Chaotic red queen coevolution in three-species food chains. Proc. R. Soc. B 277, 2321-2330. (doi:10.1098/rspb.2010.0209)
-
(2010)
Proc. R. Soc. B
, vol.277
, pp. 2321-2330
-
-
Dercole, F.1
Ferriére, R.2
Rinaldi, S.3
-
106
-
-
34249738363
-
Modeling the rock-scissors-paper game between bacteriocin producing bacteria by Lotka-Volterra equations. Discrete Contin
-
Neumann G, Schuster S. 2007 Modeling the rock-scissors-paper game between bacteriocin producing bacteria by Lotka-Volterra equations. Discrete Contin. Dyn. Syst. B 8, 207-228. (doi:10. 3934/dcdsb.2007.8.207)
-
(2007)
Dyn. Syst. B
, vol.8
, pp. 207-228
-
-
Neumann, G.1
Schuster, S.2
-
107
-
-
34249738143
-
Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria
-
Neumann G, Schuster S. 2007 Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria. J. Math. Biol. 54, 815-846. (doi:10.1007/s00285-006-0065-3)
-
(2007)
J. Math. Biol.
, vol.54
, pp. 815-846
-
-
Neumann, G.1
Schuster, S.2
-
108
-
-
78651276783
-
How community size affects survival chances in cyclic competition games that microorganisms play
-
Müller APO, Gallas JAC. 2010 How community size affects survival chances in cyclic competition games that microorganisms play. Phys. Rev. E 82, 052901. (doi:10.1103/PhysRevE.82.052901)
-
(2010)
Phys. Rev. E
, vol.82
, pp. 052901
-
-
Müller, A.P.O.1
Gallas, J.A.C.2
-
109
-
-
79960705246
-
Co-existence in the two-dimensional May-Leonard model with random rates
-
He Q, Mobilia M, Täuber UC. 2011 Co-existence in the two-dimensional May-Leonard model with random rates. Eur. Phys. J. B 82, 97-105. (doi:10. 1140/epjb/e2011-20259-x)
-
(2011)
Eur. Phys. J. B
, vol.82
, pp. 97-105
-
-
He, Q.1
Mobilia, M.2
Täuber, U.C.3
-
110
-
-
20444488019
-
Rock-scissors-paper game in a chaotic flow: The effect of dispersion on cyclic competition of microorganisms
-
Károlyi G, Neufeld Z, Scheuring I. 2005 Rock-scissors-paper game in a chaotic flow: The effect of dispersion on cyclic competition of microorganisms. J. Theor. Biol. 236, 12-20. (doi:10.1016/j.jtbi.2005. 02.012)
-
(2005)
J. Theor. Biol.
, vol.236
, pp. 12-20
-
-
Károlyi, G.1
Neufeld, Z.2
Scheuring, I.3
-
111
-
-
79751505600
-
Threefold way to extinction in populations of cyclically competing species
-
Rulands S, Reichenbach T, Frey E. 2011 Threefold way to extinction in populations of cyclically competing species. J. Stat. Mech. L01003. (doi:10. 1088/1742-5468/2011/01/L01003)
-
(2011)
J. Stat. Mech.
, pp. L01003
-
-
Rulands, S.1
Reichenbach, T.2
Frey, E.3
-
112
-
-
45849155199
-
Spontaneous formation of dynamical patterns with fractal fronts in the cyclic lattice Lotka-Volterra model
-
Provata A, Tsekouras GA. 2003 Spontaneous formation of dynamical patterns with fractal fronts in the cyclic lattice Lotka-Volterra model. Phys. Rev. E 67, 056602. (doi:10.1103/PhysRevE. 67.056602)
-
(2003)
Phys. Rev. E
, vol.67
, pp. 056602
-
-
Provata, A.1
Tsekouras, G.A.2
-
113
-
-
57449090900
-
Defined spatial structure stabilizes a synthetic multispecies bacterial community
-
Kim HJ, Boedicker JQ, Choi JW, Ismagilov RF. 2008 Defined spatial structure stabilizes a synthetic multispecies bacterial community. Proc. Natl Acad. Sci. USA 105, 18 188-18 193. (doi:10.1073/pnas. 0807935105)
-
(2008)
Proc. Natl Acad. Sci. USA
, vol.105
, pp. 18188-18193
-
-
Kim, H.J.1
Boedicker, J.Q.2
Choi, J.W.3
Ismagilov, R.F.4
-
114
-
-
40449128501
-
The evolution of restraint in bacterial biofilms under nontransitive competition
-
Prado F, Kerr B. 2008 The evolution of restraint in bacterial biofilms under nontransitive competition. Evolution 62, 538-548. (doi:10.1111/j.1558-5646. 2007.00266.x)
-
(2008)
Evolution
, vol.62
, pp. 538-548
-
-
Prado, F.1
Kerr, B.2
-
115
-
-
0036013593
-
Statistical mechanics of complex networks
-
Albert R, Barabási A-L. 2002 Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47-97. (doi:10.1103/RevModPhys.74.47)
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 47-97
-
-
Albert, R.1
Barabási, A.-L.2
-
116
-
-
31344474880
-
Complex networks: Structure and dynamics
-
Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D. 2006 Complex networks: Structure and dynamics. Phys. Rep. 424, 175-308. (doi:10.1016/j.physrep. 2005.10.009)
-
(2006)
Phys. Rep.
, vol.424
, pp. 175-308
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.5
-
117
-
-
33845269940
-
Networks with dispersed degrees save stable coexistence of species in cyclic competition
-
Masuda N, Konno N. 2006 Networks with dispersed degrees save stable coexistence of species in cyclic competition. Phys. Rev. E 74, 066102. (doi:10.1103/PhysRevE.74.066102)
-
(2006)
Phys. Rev. E
, vol.74
, pp. 066102
-
-
Masuda, N.1
Konno, N.2
-
118
-
-
42749104847
-
Phase transitions for rock-scissors-paper game on different networks
-
Szolnoki A, Szabó G. 2004 Phase transitions for rock-scissors-paper game on different networks. Phys. Rev. E 70, 037102. (doi:10.1103/PhysRevE. 70.037102)
-
(2004)
Phys. Rev. E
, vol.70
, pp. 037102
-
-
Szolnoki, A.1
Szabó, G.2
-
119
-
-
1342268335
-
Rock-scissors-paper game on regular small-world networks. J. Phys. A
-
Szabó G, Szolnoki A, Izsák R. 2004 Rock-scissors-paper game on regular small-world networks. J. Phys. A, Math. Gen. 37, 2599-2609. (doi:10. 1088/0305-4470/37/7/006)
-
(2004)
Math. Gen.
, vol.37
, pp. 2599-2609
-
-
Szabó, G.1
Szolnoki, A.2
Izsák, R.3
-
120
-
-
68949215200
-
Synchronization of local oscillations in a spatial rock-scissors-paper game model
-
Sun R-S, Hua D-Y. 2009 Synchronization of local oscillations in a spatial rock-scissors-paper game model. Chin. Phys. Lett. 26, 086403. (doi:10.1088/0256-307X/26/8/086403)
-
(2009)
Chin. Phys. Lett.
, vol.26
, pp. 086403
-
-
Sun, R.-S.1
Hua, D.-Y.2
-
121
-
-
84899010680
-
Globally synchronized oscillations in complex cyclic games
-
Rulquin C, Arenzon JJ. 2014 Globally synchronized oscillations in complex cyclic games. Phys. Rev. E 89, 032133. (doi:10.1103/PhysRevE.89.032133)
-
(2014)
Phys. Rev. E
, vol.89
, pp. 032133
-
-
Rulquin, C.1
Arenzon, J.J.2
-
122
-
-
84897393855
-
Population interaction structure and the coexistence of bacterial strains playing 'rock-paper-scissors'
-
Laird RA. 2014 Population interaction structure and the coexistence of bacterial strains playing 'rock-paper-scissors'. Oikos 123, 472-480. (doi:10. 1111/j.1600-0706.2013.00879.x)
-
(2014)
Oikos
, vol.123
, pp. 472-480
-
-
Laird, R.A.1
-
123
-
-
39149119458
-
Phase transitions for a rock-scissors-paper model with long-range-directed interactions. J. Phys. A
-
Ying C-Y, Hua D-Y, Wang L-Y. 2007 Phase transitions for a rock-scissors-paper model with long-range-directed interactions. J. Phys. A, Math. Theor. 40, 4477-4482. (doi:10.1088/1751-8113/40/17/005)
-
(2007)
Math. Theor.
, vol.40
, pp. 4477-4482
-
-
Ying, C.-Y.1
Hua, D.-Y.2
Wang, L.-Y.3
-
124
-
-
84857637764
-
Fourstate rock-paper-scissors games in constrained Newman-Watts networks
-
Zhang G-Y, Chen Y, Qi W-K, Qing S-M. 2009 Fourstate rock-paper-scissors games in constrained Newman-Watts networks. Phys. Rev. E 79, 062901. (doi:10.1103/PhysRevE.79.062901)
-
(2009)
Phys. Rev. E
, vol.79
, pp. 062901
-
-
Zhang, G.-Y.1
Chen, Y.2
Qi, W.-K.3
Qing, S.-M.4
-
125
-
-
70350126583
-
Emergence of multilevel selection in the prisoner's dilemma game on coevolving random networks
-
Szolnoki A, Perc M. 2009 Emergence of multilevel selection in the prisoner's dilemma game on coevolving random networks. New J. Phys. 11, 093033. (doi:10.1088/1367-2630/11/9/093033)
-
(2009)
New J. Phys.
, vol.11
, pp. 093033
-
-
Szolnoki, A.1
Perc, M.2
-
126
-
-
84855353464
-
Cyclic dominance in adaptive networks
-
Demirel G, Prizak R, Reddy PN, Gross T. 2011 Cyclic dominance in adaptive networks. Eur. Phys. J. B 84, 541-548. (doi:10.1140/epjb/e2011-10844-4)
-
(2011)
Eur. Phys. J. B
, vol.84
, pp. 541-548
-
-
Demirel, G.1
Prizak, R.2
Reddy, P.N.3
Gross, T.4
-
127
-
-
70350569292
-
Coevolutionary cycling of host sociality and pathogen virulence in contact networks
-
Prado F, Sheih A, West JD, Kerr B. 2009 Coevolutionary cycling of host sociality and pathogen virulence in contact networks. J. Theor. Biol. 261, 561-569. (doi:10.1016/j.jtbi.2009. 08.022)
-
(2009)
J. Theor. Biol.
, vol.261
, pp. 561-569
-
-
Prado, F.1
Sheih, A.2
West, J.D.3
Kerr, B.4
-
129
-
-
67650879320
-
Effects of mobility in a population of prisoner's dilemma players
-
Meloni S, Buscarino A, Fortuna L, Frasca M, Gómez-Gardeñes J, Latora V, Moreno Y. 2009 Effects of mobility in a population of prisoner's dilemma players. Phys. Rev. E 79, 067101. (doi:10.1103/PhysRevE.79.067101)
-
(2009)
Phys. Rev. E
, vol.79
, pp. 067101
-
-
Meloni, S.1
Buscarino, A.2
Fortuna, L.3
Frasca, M.4
Gómez-Gardeñes, J.5
Latora, V.6
Moreno, Y.7
-
130
-
-
57749170765
-
Random mobility and spatial structure often enhance cooperation
-
Sicardi EA, Fort H, Vainstein MH, Arenzon JJ. 2009 Random mobility and spatial structure often enhance cooperation. J. Theor. Biol. 256, 240-246. (doi:10.1016/j.jtbi.2008.09.022)
-
(2009)
J. Theor. Biol.
, vol.256
, pp. 240-246
-
-
Sicardi, E.A.1
Fort, H.2
Vainstein, M.H.3
Arenzon, J.J.4
-
131
-
-
84862894845
-
Velocity-enhanced cooperation of moving agents playing public goods games
-
Cardillo A, Meloni S, Gómez-Gardeñes J, Moreno Y. 2012 Velocity-enhanced cooperation of moving agents playing public goods games. Phys. Rev. E 85, 067101. (doi:10.1103/PhysRevE.85.067101)
-
(2012)
Phys. Rev. E
, vol.85
, pp. 067101
-
-
Cardillo, A.1
Meloni, S.2
Gómez-Gardeñes, J.3
Moreno, Y.4
-
132
-
-
84887228468
-
Spatial social dilemmas: Dilution, mobility and grouping effects with imitation dynamics
-
Vainstein MH, Arenzon JJ. 2014 Spatial social dilemmas: Dilution, mobility and grouping effects with imitation dynamics. Physica A 394, 145-157. (doi:10.1016/j.physa.2013.09.032)
-
(2014)
Physica A
, vol.394
, pp. 145-157
-
-
Vainstein, M.H.1
Arenzon, J.J.2
-
133
-
-
50149095565
-
Selforganization of mobile populations in cyclic competititon
-
Reichenbach T, Mobilia M, Frey E. 2008 Selforganization of mobile populations in cyclic competititon. J. Theor. Biol. 254, 368-383. (doi:10. 1016/j.jtbi.2008.05.014)
-
(2008)
J. Theor. Biol.
, vol.254
, pp. 368-383
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
134
-
-
42749104404
-
Vertex dynamics during domain growth in three-state models
-
Szolnoki A, Szabó G. 2004 Vertex dynamics during domain growth in three-state models. Phys. Rev. E 70, 027101. (doi:10.1103/PhysRevE.70.027101)
-
(2004)
Phys. Rev. E
, vol.70
, pp. 027101
-
-
Szolnoki, A.1
Szabó, G.2
-
135
-
-
80051653322
-
Effects of competition on pattern formation in the rock-paper-scissors game
-
Jiang L-L, Zhou T, Perc M, Wang B-H. 2011 Effects of competition on pattern formation in the rock-paper-scissors game. Phys. Rev. E 84, 021912. (doi:10.1103/PhysRevE.84.021912)
-
(2011)
Phys. Rev. E
, vol.84
, pp. 021912
-
-
Jiang, L.-L.1
Zhou, T.2
Perc, M.3
Wang, B.-H.4
-
136
-
-
84865035877
-
Discriminating the effects of spatial extent and population size in cyclic competition among species
-
Lamouroux D, Eule S, Geisel T, Nagler J. 2012 Discriminating the effects of spatial extent and population size in cyclic competition among species. Phys. Rev. E 86, 021911. (doi:10.1103/PhysRevE. 86.021911)
-
(2012)
Phys. Rev. E
, vol.86
, pp. 021911
-
-
Lamouroux, D.1
Eule, S.2
Geisel, T.3
Nagler, J.4
-
138
-
-
84885891985
-
Spiral waves emergence in a cyclic predator-prey model
-
(ed. J Zhou). Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, Berlin, Germany: Springer
-
Jiang L-L, Wang W-X, Huang X, Wang B-H. 2009 Spiral waves emergence in a cyclic predator-prey model. In Complex sciences, vol. 4 (ed. J Zhou). Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, Berlin, Germany: Springer.
-
(2009)
Complex Sciences
, vol.4
-
-
Jiang, L.-L.1
Wang, W.-X.2
Huang, X.3
Wang, B.-H.4
-
139
-
-
70749089564
-
Emergence of target waves in paced populations of cyclically competing species
-
Jiang L-L, Zhou T, Perc M, Huang X, Wang B-H. 2009 Emergence of target waves in paced populations of cyclically competing species. New J. Phys. 11, 103001. (doi:10.1088/1367-2630/11/10/103001)
-
(2009)
New J. Phys.
, vol.11
, pp. 103001
-
-
Jiang, L.-L.1
Zhou, T.2
Perc, M.3
Huang, X.4
Wang, B.-H.5
-
140
-
-
78651429893
-
Cyclic competition of mobile species on continuous space: Pattern formation and coexistence
-
Ni X, Wang W-X, Lai Y-C, Grebogi C. 2010 Cyclic competition of mobile species on continuous space: Pattern formation and coexistence. Phys. Rev. E 82, 066211. (doi:10.1103/PhysRevE.82.066211)
-
(2010)
Phys. Rev. E
, vol.82
, pp. 066211
-
-
Ni, X.1
Wang, W.-X.2
Lai, Y.-C.3
Grebogi, C.4
-
141
-
-
77749280123
-
Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games
-
Shi H, Wang W-X, Yang R, Lai Y-C. 2010 Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games. Phys. Rev. E 81, 030901(R). (doi:10.1103/PhysRevE. 81.030901)
-
(2010)
Phys. Rev. E
, vol.81
, pp. 030901R
-
-
Shi, H.1
Wang, W.-X.2
Yang, R.3
Lai, Y.-C.4
-
142
-
-
84894541882
-
Mobility-dependent selection of competing strategy associations
-
Dobrinevski A, Alava M, Reichenbach T, Frey E. 2014 Mobility-dependent selection of competing strategy associations. Phys. Rev. E 89, 012721. (doi:10.1103/PhysRevE.89.012721)
-
(2014)
Phys. Rev. E
, vol.89
, pp. 012721
-
-
Dobrinevski, A.1
Alava, M.2
Reichenbach, T.3
Frey, E.4
-
143
-
-
84878353161
-
Global attractors and extinction dynamics of cyclically competing species
-
Rulands S, Zielinski A, Frey E. 2013 Global attractors and extinction dynamics of cyclically competing species. Phys. Rev. E 87, 052710. (doi:10.1103/PhysRevE.87.052710)
-
(2013)
Phys. Rev. E
, vol.87
, pp. 052710
-
-
Rulands, S.1
Zielinski, A.2
Frey, E.3
-
144
-
-
84907495356
-
Characterization of spiraling patterns in spatial rock-paper-scissors games
-
Szczesny B, Mobilia M, Rucklidge A. 2014 Characterization of spiraling patterns in spatial rock-paper-scissors games. Phys. Rev. E (http://arxiv.org/abs/1407.0621)
-
(2014)
Phys. Rev. E
-
-
Szczesny, B.1
Mobilia, M.2
Rucklidge, A.3
-
146
-
-
0036013603
-
The world of the complex Ginzburg-Landau equation
-
Aranson IS, Kramer L. 2002 The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99. (doi:10.1103/RevModPhys.74.99)
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 99
-
-
Aranson, I.S.1
Kramer, L.2
-
147
-
-
34250510674
-
A time dependent Ginzburg-Landau equation and its application to the problem of resistivity in the mixed state
-
Schmid A. 1966 A time dependent Ginzburg-Landau equation and its application to the problem of resistivity in the mixed state. Phys. Condensed Matter 5, 302.
-
(1966)
Phys. Condensed Matter
, vol.5
, pp. 302
-
-
Schmid, A.1
-
148
-
-
84959644006
-
A non-linear instability theory for a wave system in plane Poiseuille flow
-
Stewartson K, Stuart J. 1971 A non-linear instability theory for a wave system in plane Poiseuille flow. J. Fluid Mech. 48, 529. (doi:10.1017/S0022112 071001733)
-
(1971)
J. Fluid Mech.
, vol.48
, pp. 529
-
-
Stewartson, K.1
Stuart, J.2
-
149
-
-
84959666786
-
Non-linear wavenumber interaction in near-critical twodimensional flows
-
Diprima R, Eckhaus W, Segel L. 1971 Non-linear wavenumber interaction in near-critical twodimensional flows. J. Fluid Mech. 49, 705. (doi:10.1017/S0022112071002337)
-
(1971)
J. Fluid Mech.
, vol.49
, pp. 705
-
-
Diprima, R.1
Eckhaus, W.2
Segel, L.3
-
150
-
-
44049115047
-
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
-
van Saarloos W, Hohenberg PC. 1992 Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Physica D 56, 303. (doi:10.1016/0167-2789(92)90175-M)
-
(1992)
Physica D
, vol.56
, pp. 303
-
-
Van Saarloos, W.1
Hohenberg, P.C.2
-
151
-
-
84908208505
-
Spirals and coarsening patterns in the competition of many species: A complex Ginzburg-Landau approach. J. Phys. A
-
Mowlaei S, Roman A, Pleimling M. 2014 Spirals and coarsening patterns in the competition of many species: A complex Ginzburg-Landau approach. J. Phys. A, Math. Theor. 47, 165001. (doi:10.1088/1751-8113/47/16/165001)
-
(2014)
Math. Theor.
, vol.47
, pp. 165001
-
-
Mowlaei, S.1
Roman, A.2
Pleimling, M.3
-
153
-
-
6244299076
-
Theory of interaction and bound states of spiral waves in oscillatory media
-
Kramer L, Weber ISA. 1993 Theory of interaction and bound states of spiral waves in oscillatory media. Phys. Rev. E 47, 3231.
-
(1993)
Phys. Rev. E
, vol.47
, pp. 3231
-
-
Kramer, L.1
Weber, I.S.A.2
-
154
-
-
84925548711
-
Phase transitions and volunteering in spatial public goods games
-
Szabó G, Hauert C. 2002 Phase transitions and volunteering in spatial public goods games. Phys. Rev. Lett. 89, 118101. (doi:10.1103/PhysRevLett. 89.118101)
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 118101
-
-
Szabó, G.1
Hauert, C.2
-
155
-
-
37649031244
-
Cooperation for volunteering and partially random partnerships
-
Szabó G, Vukov J. 2004 Cooperation for volunteering and partially random partnerships. Phys. Rev. E 69, 036107. (doi:10.1103/PhysRevE.69.036107)
-
(2004)
Phys. Rev. E
, vol.69
, pp. 036107
-
-
Szabó, G.1
Vukov, J.2
-
156
-
-
41549114214
-
Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks
-
Chen Y, Qin S-M, Yu L, Zhang S. 2008 Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks. Phys. Rev. E 77, 032103. (doi:10.1103/PhysRevE.77.032103)
-
(2008)
Phys. Rev. E
, vol.77
, pp. 032103
-
-
Chen, Y.1
Qin, S.-M.2
Yu, L.3
Zhang, S.4
-
157
-
-
80052574428
-
Optional contributions have positive effects for volunteering public goods games
-
Song Q-Q, Li Z-P, Fu C-H, Wang L-S. 2011 Optional contributions have positive effects for volunteering public goods games. Physica A 390, 4236-4243. (doi:10.1016/j.physa.2011.07.025)
-
(2011)
Physica A
, vol.390
, pp. 4236-4243
-
-
Song, Q.-Q.1
Li, Z.-P.2
Fu, C.-H.3
Wang, L.-S.4
-
158
-
-
79958767170
-
Public goods games with reward in finite populations
-
Forsyth PAI, Hauert C. 2011 Public goods games with reward in finite populations. J. Math. Biol. 63, 109-123. (doi:10.1007/s00285-010-0363-7)
-
(2011)
J. Math. Biol.
, vol.63
, pp. 109-123
-
-
Forsyth, P.A.I.1
Hauert, C.2
-
159
-
-
84856386044
-
The take-it-or-leave-it option allows small penalties to overcome social dilemmas
-
Sasaki T, Brännström A, Dieckmann U, Sigmund K. 2012 The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Proc. Natl Acad. Sci. USA 109, 1165-1169. (doi:10.1073/pnas. 1115219109)
-
(2012)
Proc. Natl Acad. Sci. USA
, vol.109
, pp. 1165-1169
-
-
Sasaki, T.1
Brännström, A.2
Dieckmann, U.3
Sigmund, K.4
-
160
-
-
84866310659
-
Evolutionary advantages of adaptive rewarding
-
Szolnoki A, Perc M. 2012 Evolutionary advantages of adaptive rewarding. New J. Phys. 14, 093016. (doi:10.1088/1367-2630/14/9/093016)
-
(2012)
New J. Phys.
, vol.14
, pp. 093016
-
-
Szolnoki, A.1
Perc, M.2
-
161
-
-
0037452939
-
The evolution of altruistic punishment
-
Boyd R, Gintis H, Bowles S, Richerson PJ. 2003 The evolution of altruistic punishment. Proc. Natl Acad. Sci. USA 100, 3531-3535. (doi:10.1073/pnas. 0630443100)
-
(2003)
Proc. Natl Acad. Sci. USA
, vol.100
, pp. 3531-3535
-
-
Boyd, R.1
Gintis, H.2
Bowles, S.3
Richerson, P.J.4
-
162
-
-
18744400528
-
Altruistic punishment and the origin of cooperation
-
Fowler JH. 2005 Altruistic punishment and the origin of cooperation. Proc. Natl Acad. Sci. USA 102, 7047-7049. (doi:10.1073/pnas.0500938102)
-
(2005)
Proc. Natl Acad. Sci. USA
, vol.102
, pp. 7047-7049
-
-
Fowler, J.H.1
-
163
-
-
31044434108
-
Punishing and abstaining for public goods
-
Brandt H, Hauert C, Sigmund K. 2006 Punishing and abstaining for public goods. Proc. Natl Acad. Sci. USA 103, 495-497. (doi:10.1073/pnas. 0507229103)
-
(2006)
Proc. Natl Acad. Sci. USA
, vol.103
, pp. 495-497
-
-
Brandt, H.1
Hauert, C.2
Sigmund, K.3
-
164
-
-
84862796104
-
Rare but severe concerted punishment that favors cooperation
-
Deng K, Li Z, Kurokawa S, Chu T. 2012 Rare but severe concerted punishment that favors cooperation. Theor. Popul. Biol. 81, 284-291. (doi:10.1016/j.tpb.2012.02.005)
-
(2012)
Theor. Popul. Biol.
, vol.81
, pp. 284-291
-
-
Deng, K.1
Li, Z.2
Kurokawa, S.3
Chu, T.4
-
165
-
-
84865270322
-
Defense mechanisms of empathetic players in the spatial ultimatum game
-
Szolnoki A, Perc M, Szabó G. 2012 Defense mechanisms of empathetic players in the spatial ultimatum game. Phys. Rev. Lett. 109, 078701. (doi:10.1103/PhysRevLett.109.078701)
-
(2012)
Phys. Rev. Lett.
, vol.109
, pp. 078701
-
-
Szolnoki, A.1
Perc, M.2
Szabó, G.3
-
166
-
-
77956475753
-
Incentives and opportunism: From the carrot to the stick
-
Hilbe C, Sigmund K. 2010 Incentives and opportunism: From the carrot to the stick. Proc. R. Soc. B 277, 2427-2433. (doi:10.1098/rspb. 2010.0065)
-
(2010)
Proc. R. Soc. B
, vol.277
, pp. 2427-2433
-
-
Hilbe, C.1
Sigmund, K.2
-
167
-
-
84857917592
-
Moral assessment in indirect reciprocity
-
Sigmund K. 2012 Moral assessment in indirect reciprocity. J. Theor. Biol. 299, 25-30. (doi:10. 1016/j.jtbi.2011.03.024)
-
(2012)
J. Theor. Biol.
, vol.299
, pp. 25-30
-
-
Sigmund, K.1
-
168
-
-
84900305308
-
The evolution of sanctioning institutions: An experimental approach to the social contract
-
Zhang B, Li C, De Silva H, Bednarik P, Sigmund K. 2014 The evolution of sanctioning institutions: An experimental approach to the social contract. Exp. Econ. 17, 285-303. (doi:10.1007/s10683-013-9375-7)
-
(2014)
Exp. Econ.
, vol.17
, pp. 285-303
-
-
Zhang, B.1
Li, C.2
De Silva, H.3
Bednarik, P.4
Sigmund, K.5
-
169
-
-
84893672575
-
Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: Phase transitions to elementary strategies
-
Szolnoki A, Perc M. 2013 Correlation of positive and negative reciprocity fails to confer an evolutionary advantage: Phase transitions to elementary strategies. Phys. Rev. X 3, 041021.
-
(2013)
Phys. Rev. X
, vol.3
, pp. 041021
-
-
Szolnoki, A.1
Perc, M.2
-
170
-
-
71049167283
-
Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs
-
Szolnoki A, Perc M, Szabó G. 2009 Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs. Phys. Rev. E 80, 056104. (doi:10.1103/PhysRevE.80.056104)
-
(2009)
Phys. Rev. E
, vol.80
, pp. 056104
-
-
Szolnoki, A.1
Perc, M.2
Szabó, G.3
-
171
-
-
0026471294
-
Tit for tat in heterogeneous populations
-
Nowak MA, Sigmund K. 1992 Tit for tat in heterogeneous populations. Nature 355, 250-253. (doi:10.1038/355250a0)
-
(1992)
Nature
, vol.355
, pp. 250-253
-
-
Nowak, M.A.1
Sigmund, K.2
-
172
-
-
23344447663
-
Evolutionary cycles of cooperation and defection
-
Imhof LA, Fudenberg D, Nowak MA. 2005 Evolutionary cycles of cooperation and defection. Proc. Natl Acad. Sci. USA 102, 10 797-10 800. (doi:10.1073/pnas.0502589102)
-
(2005)
Proc. Natl Acad. Sci. USA
, vol.102
, pp. 10797-10800
-
-
Imhof, L.A.1
Fudenberg, D.2
Nowak, M.A.3
-
173
-
-
9644289531
-
Indirect reciprocity can stabilize cooperation without the second-order free rider problem
-
Panchanathan K, Boyd R. 2004 Indirect reciprocity can stabilize cooperation without the second-order free rider problem. Nature 432, 499-502. (doi:10. 1038/nature02978)
-
(2004)
Nature
, vol.432
, pp. 499-502
-
-
Panchanathan, K.1
Boyd, R.2
-
174
-
-
16544383201
-
Don't lose your reputation
-
Fehr E. 2004 Don't lose your reputation. Nature 432, 449-450. (doi:10.1038/432449a)
-
(2004)
Nature
, vol.432
, pp. 449-450
-
-
Fehr, E.1
-
175
-
-
25644437118
-
Second-order free-riding problem solved?
-
Fowler JH. 2005 Second-order free-riding problem solved? Nature 437, E8. (doi:10.1038/nature04201)
-
(2005)
Nature
, vol.437
, pp. E8
-
-
Fowler, J.H.1
-
176
-
-
84860140641
-
Self-organization of punishment in structured populations
-
Perc M, Szolnoki A. 2012 Self-organization of punishment in structured populations. New J. Phys. 14, 043013. (doi:10.1088/1367-2630/14/4/043013)
-
(2012)
New J. Phys.
, vol.14
, pp. 043013
-
-
Perc, M.1
Szolnoki, A.2
-
177
-
-
68949191217
-
Impact of aging on the evolution of cooperation in the spatial prisoner's dilemma game
-
Szolnoki A, Perc M, Szabó G, Stark H-U. 2009 Impact of aging on the evolution of cooperation in the spatial prisoner's dilemma game. Phys. Rev. E 80, 021901. (doi:10.1103/PhysRevE.80.021901)
-
(2009)
Phys. Rev. E
, vol.80
, pp. 021901
-
-
Szolnoki, A.1
Perc, M.2
Szabó, G.3
Stark, H.-U.4
-
178
-
-
70449857987
-
Intrinsic noise in game dynamical learning
-
Galla T. 2009 Intrinsic noise in game dynamical learning. Phys. Rev. Lett. 103, 198702. (doi:10. 1103/PhysRevLett.103.198702)
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 198702
-
-
Galla, T.1
-
179
-
-
84868271170
-
Fixation and escape times in stochastic game learning
-
Realpe-Gomez J, Bartosz Szczesny LD, Galla T. 2012 Fixation and escape times in stochastic game learning. J. Stat. Mech. P10022. (doi:10.1088/1742-5468/2012/10/P10022)
-
(2012)
J. Stat. Mech.
, pp. P10022
-
-
Realpe-Gomez, J.1
Bartosz Szczesny, L.D.2
Galla, T.3
-
180
-
-
0014413249
-
The tragedy of the commons
-
Hardin G. 1968 The tragedy of the commons. Science 162, 1243-1248. (doi:10.1126/science.162. 3859.1243)
-
(1968)
Science
, vol.162
, pp. 1243-1248
-
-
Hardin, G.1
-
181
-
-
41349100191
-
Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks
-
Wu Z-X, Xu X-J, Chen Y, Wang Y-H. 2005 Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks. Phys. Rev. E 71, 037103. (doi:10.1103/PhysRevE.71.037103)
-
(2005)
Phys. Rev. E
, vol.71
, pp. 037103
-
-
Wu, Z.-X.1
Xu, X.-J.2
Chen, Y.3
Wang, Y.-H.4
-
182
-
-
79953746261
-
The joker effect: Cooperation driven by destructive agents
-
Arenas A, Camacho J, Cuesta JA, Requejo R. 2011 The joker effect: Cooperation driven by destructive agents. J. Theor. Biol. 279, 113-119. (doi:10.1016/j.jtbi.2011.03.017)
-
(2011)
J. Theor. Biol.
, vol.279
, pp. 113-119
-
-
Arenas, A.1
Camacho, J.2
Cuesta, J.A.3
Requejo, R.4
-
183
-
-
0036136182
-
The economics of fair play
-
Sigmund K, Fehr E, Nowak MA. 2002 The economics of fair play. Sci. Am. 286, 82-87. (doi:10.1038/scientificamerican0102-82)
-
(2002)
Sci. Am.
, vol.286
, pp. 82-87
-
-
Sigmund, K.1
Fehr, E.2
Nowak, M.A.3
-
184
-
-
0035475119
-
Defensive alliances in spatial models of cyclical population interactions
-
Szabó G, Czárán T. 2001 Defensive alliances in spatial models of cyclical population interactions. Phys. Rev. E 64, 042902. (doi:10.1103/PhysRevE. 64.042902)
-
(2001)
Phys. Rev. E
, vol.64
, pp. 042902
-
-
Szabó, G.1
Czárán, T.2
-
185
-
-
43249130522
-
A general model for food web structure
-
Allesina S, Alonso D, Pascual M. 2008 A general model for food web structure. Science 320, 658-661. (doi:10.1126/science.1156269)
-
(2008)
Science
, vol.320
, pp. 658-661
-
-
Allesina, S.1
Alonso, D.2
Pascual, M.3
-
186
-
-
40549142408
-
Network structure, predator-prey modules, and stability in large food webs
-
Allesina S, Pascual M. 2008 Network structure, predator-prey modules, and stability in large food webs. Theor. Ecol. 1, 55-64. (doi:10.1007/s12080-007-0007-8)
-
(2008)
Theor. Ecol.
, vol.1
, pp. 55-64
-
-
Allesina, S.1
Pascual, M.2
-
187
-
-
79954995189
-
A competitive network theory of species diversity
-
Allesina S, Levine JM. 2011 A competitive network theory of species diversity. Proc. Natl Acad. Sci. USA 108, 5638-5642. (doi:10.1073/pnas.1014428108)
-
(2011)
Proc. Natl Acad. Sci. USA
, vol.108
, pp. 5638-5642
-
-
Allesina, S.1
Levine, J.M.2
-
188
-
-
84876702514
-
Coexistence and survival in conservative Lotka-Volterra networks
-
Knebel J, Krüger T, Weber M, Frey E. 2013 Coexistence and survival in conservative Lotka-Volterra networks. Phys. Rev. Lett. 110, 168106. (doi:10.1103/PhysRevLett.110.168106)
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 168106
-
-
Knebel, J.1
Krüger, T.2
Weber, M.3
Frey, E.4
-
189
-
-
79961036565
-
Cyclic competition of four species: Mean field theory and stochastic evolution
-
Case SO, Durney CH, Pleimling M, Zia R. 2010 Cyclic competition of four species: Mean field theory and stochastic evolution. Eur. Phys. Lett. 92, 58003. (doi:10.1209/0295-5075/92/58003)
-
(2010)
Eur. Phys. Lett.
, vol.92
, pp. 58003
-
-
Case, S.O.1
Durney, C.H.2
Pleimling, M.3
Zia, R.4
-
190
-
-
79961041002
-
Saddles, arrows, and spirals: Deterministic trajectories in cyclic competition of four species
-
Durney CH, Case SO, Pleimling M, Zia R. 2011 Saddles, arrows, and spirals: Deterministic trajectories in cyclic competition of four species. Phys. Rev. E 83, 051108. (doi:10.1103/PhysRevE.83.051108)
-
(2011)
Phys. Rev. E
, vol.83
, pp. 051108
-
-
Durney, C.H.1
Case, S.O.2
Pleimling, M.3
Zia, R.4
-
191
-
-
84884160948
-
Extinction in four species cyclic competition
-
Intoy B, Pleimling M. 2013 Extinction in four species cyclic competition. J. Stat. Mech. P08011. (doi:10. 1088/1742-5468/2013/08/P08011)
-
(2013)
J. Stat. Mech.
, pp. P08011
-
-
Intoy, B.1
Pleimling, M.2
-
192
-
-
84869213989
-
Intransitivity and coexistence in four species cyclic games
-
Lütz A, Risau-Gusman S, Arenzon J. 2013 Intransitivity and coexistence in four species cyclic games. J. Theor. Biol. 317, 286-292. (doi:10.1016/j.jtbi.2012.10.024)
-
(2013)
J. Theor. Biol.
, vol.317
, pp. 286-292
-
-
Lütz, A.1
Risau-Gusman, S.2
Arenzon, J.3
-
193
-
-
84903647756
-
From pairwise to group interactions in games of cyclic dominance
-
Szolnoki A, Vukov J, Perc M. 2014 From pairwise to group interactions in games of cyclic dominance. Phys. Rev. E 89, 062125. (doi:10.1103/PhysRevE. 89.062125)
-
(2014)
Phys. Rev. E
, vol.89
, pp. 062125
-
-
Szolnoki, A.1
Vukov, J.2
Perc, M.3
-
194
-
-
0346505865
-
Theory of phase ordering kinetics
-
Bray AJ. 1994 Theory of phase ordering kinetics. Adv. Phys. 43, 357-459. (doi:10.1080/00018739 400101505)
-
(1994)
Adv. Phys.
, vol.43
, pp. 357-459
-
-
Bray, A.J.1
-
195
-
-
84930069745
-
Phase transition and selection in a four-species predator-prey model
-
Szabó G, Sznaider GA. 2004 Phase transition and selection in a four-species predator-prey model. Phys. Rev. E 69, 031911. (doi:10.1103/PhysRevE.69.031911)
-
(2004)
Phys. Rev. E
, vol.69
, pp. 031911
-
-
Szabó, G.1
Sznaider, G.A.2
-
196
-
-
34547281975
-
Cyclical interactions with alliance specific heterogeneous invasion rates
-
Perc M, Szolnoki A, Szabó G. 2007 Cyclical interactions with alliance specific heterogeneous invasion rates. Phys. Rev. E 75, 052102. (doi:10. 1103/PhysRevE.75.052102)
-
(2007)
Phys. Rev. E
, vol.75
, pp. 052102
-
-
Perc, M.1
Szolnoki, A.2
Szabó, G.3
-
197
-
-
0000912646
-
Coherence resonance in a noise-driven excitable system
-
Pikovsky AS, Kurths J. 1997 Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett. 78, 775-778. (doi:10.1103/PhysRevLett.78.775)
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 775-778
-
-
Pikovsky, A.S.1
Kurths, J.2
-
198
-
-
0039065101
-
Stochastic resonance
-
Gammaitoni L, Hänggi P, Jung P, Marchasoni F. 1998 Stochastic resonance. Rev. Mod. Phys. 70, 223-287. (doi:10.1103/RevModPhys.70.223)
-
(1998)
Rev. Mod. Phys.
, vol.70
, pp. 223-287
-
-
Gammaitoni, L.1
Hänggi, P.2
Jung, P.3
Marchasoni, F.4
-
199
-
-
27244444045
-
Spatial coherence resonance in excitable media
-
Perc M. 2005 Spatial coherence resonance in excitable media. Phys. Rev. E 72, 016207. (doi:10. 1103/PhysRevE.72.016207)
-
(2005)
Phys. Rev. E
, vol.72
, pp. 016207
-
-
Perc, M.1
-
200
-
-
33646351077
-
Coherence resonance in spatial prisoner's dilemma game
-
Perc M. 2006 Coherence resonance in spatial prisoner's dilemma game. New J. Phys. 8, 22. (doi:10.1088/1367-2630/8/2/022)
-
(2006)
New J. Phys.
, vol.8
, pp. 22
-
-
Perc, M.1
-
201
-
-
43049143930
-
Self-organizing patterns maintained by competing associations in six-species predator-prey model
-
Szabó G, Szolnoki A, Borsos I. 2008 Self-organizing patterns maintained by competing associations in six-species predator-prey model. Phys. Rev. E 77, 041919. (doi:10.1103/PhysRevE.77.041919)
-
(2008)
Phys. Rev. E
, vol.77
, pp. 041919
-
-
Szabó, G.1
Szolnoki, A.2
Borsos, I.3
-
202
-
-
80054959449
-
Competition of individual and institutional punishments in spatial public goods games
-
Szolnoki A, Szabó G, Czakó L. 2011 Competition of individual and institutional punishments in spatial public goods games. Phys. Rev. E 84, 046106. (doi:10.1103/PhysRevE.84.046106)
-
(2011)
Phys. Rev. E
, vol.84
, pp. 046106
-
-
Szolnoki, A.1
Szabó, G.2
Czakó, L.3
-
203
-
-
0035939436
-
Critical coarsening without surface tension: The universality class of the voter model
-
Dornic I, Chaté H, Chave J, Hinrichsen H. 2001 Critical coarsening without surface tension: The universality class of the voter model. Phys. Rev. Lett. 87, 045701. (doi:10.1103/PhysRevLett.87.045701)
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 045701
-
-
Dornic, I.1
Chaté, H.2
Chave, J.3
Hinrichsen, H.4
-
204
-
-
84875706575
-
A golden point rule in rock-paper-scissors-lizard-Spock game
-
Kang Y, Pan Q, Wang X, He M. 2013 A golden point rule in rock-paper-scissors-lizard-Spock game. Physica A 392, 2652-2659. (doi:10.1016/j.physa. 2012.10.011)
-
(2013)
Physica A
, vol.392
, pp. 2652-2659
-
-
Kang, Y.1
Pan, Q.2
Wang, X.3
He, M.4
-
205
-
-
33747361026
-
Competitive intransitivity promotes species coexistence
-
Laird RA, Schamp BS. 2006 Competitive intransitivity promotes species coexistence. Am. Nat. 168, 182-193. (doi:10.1086/506259)
-
(2006)
Am. Nat.
, vol.168
, pp. 182-193
-
-
Laird, R.A.1
Schamp, B.S.2
-
206
-
-
40449132804
-
Does local competition increase the coexistence of species in intransitive networks?
-
Laird RA, Schamp BS. 2008 Does local competition increase the coexistence of species in intransitive networks? Ecology 89, 237-247. (doi:10.1890/07-0117.1)
-
(2008)
Ecology
, vol.89
, pp. 237-247
-
-
Laird, R.A.1
Schamp, B.S.2
-
207
-
-
0032849169
-
Why do populations cycle? A synthesis of statistical and mechanistic modeling approaches
-
Kendall BE, Briggs CJ, Murdoch WW, Turchin P, Ellner SP, McCauley E, Nisbet RM, Wood SN. 1999 Why do populations cycle? A synthesis of statistical and mechanistic modeling approaches. Ecology 80, 1789-1805. (doi:10.1890/0012-9658(1999)080 [1789:WDPCAS]2.0.CO;2)
-
(1999)
Ecology
, vol.80
, pp. 1789-1805
-
-
Kendall, B.E.1
Briggs, C.J.2
Murdoch, W.W.3
Turchin, P.4
Ellner, S.P.5
McCauley, E.6
Nisbet, R.M.7
Wood, S.N.8
-
208
-
-
47049124531
-
Social diversity promotes the emergence of cooperation in public goods games
-
Santos FC, Santos MD, Pacheco JM. 2008 Social diversity promotes the emergence of cooperation in public goods games. Nature 454, 213-216. (doi:10.1038/nature06940)
-
(2008)
Nature
, vol.454
, pp. 213-216
-
-
Santos, F.C.1
Santos, M.D.2
Pacheco, J.M.3
-
209
-
-
38349152469
-
Social diversity and promotion of cooperation in the spatial prisoner's dilemma game
-
Perc M, Szolnoki A. 2008 Social diversity and promotion of cooperation in the spatial prisoner's dilemma game. Phys. Rev. E 77, 011904. (doi:10. 1103/PhysRevE.77.011904)
-
(2008)
Phys. Rev. E
, vol.77
, pp. 011904
-
-
Perc, M.1
Szolnoki, A.2
-
210
-
-
84857913058
-
Role of diversity in the evolution of cooperation
-
Santos FC, Pinheiro F, Lenaerts T, Pacheco JM. 2012 Role of diversity in the evolution of cooperation. J. Theor. Biol. 299, 88-96. (doi:10.1016/j.jtbi.2011. 09.003)
-
(2012)
J. Theor. Biol.
, vol.299
, pp. 88-96
-
-
Santos, F.C.1
Pinheiro, F.2
Lenaerts, T.3
Pacheco, J.M.4
-
211
-
-
58149234977
-
Evolutionary dynamics of collective action in nperson stag hunt dilemmas
-
Pacheco JM, Santos FC, Souza MO, Skyrms B. 2009 Evolutionary dynamics of collective action in nperson stag hunt dilemmas. Proc. R. Soc. B 276, 315-321. (doi:10.1098/rspb.2008.1126)
-
(2009)
Proc. R. Soc. B
, vol.276
, pp. 315-321
-
-
Pacheco, J.M.1
Santos, F.C.2
Souza, M.O.3
Skyrms, B.4
-
212
-
-
84868217182
-
Dynamics of n-person snowdrift games in structured populations
-
Santos M, Pinheiro F, Santos F, Pacheco J. 2012 Dynamics of n-person snowdrift games in structured populations. J. Theor. Biol. 315, 81-86. (doi:10. 1016/j.jtbi.2012.09.001)
-
(2012)
J. Theor. Biol.
, vol.315
, pp. 81-86
-
-
Santos, M.1
Pinheiro, F.2
Santos, F.3
Pacheco, J.4
|