메뉴 건너뛰기




Volumn 11, Issue 94, 2014, Pages

Aspiration dynamics of multi-player games in finite populations

Author keywords

Aspiration dynamics; Evolutionary dynamics; Multi player games

Indexed keywords

BIOPHYSICS; BIOTECHNOLOGY;

EID: 84896968674     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2014.0077     Document Type: Article
Times cited : (127)

References (75)
  • 1
    • 77649118666 scopus 로고    scopus 로고
    • 1st edn. Princeton, NJ: Princeton University Press
    • Sigmund K. 2010 The calculus of selfishness, 1st edn. Princeton, NJ: Princeton University Press.
    • (2010) The Calculus of Selfishness
    • Sigmund, K.1
  • 3
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • doi:10.1073/pnas.36.1.48
    • Nash JF. 1950 Equilibrium points in n-person games. Proc. Natl Acad. Sci. USA 36, 48-49. (doi:10.1073/pnas.36.1.48)
    • (1950) Proc. Natl Acad. Sci. USA , vol.36 , pp. 48-49
    • Nash, J.F.1
  • 4
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • doi:10.1038/246015a0
    • 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
  • 9
    • 0842288340 scopus 로고    scopus 로고
    • Evolutionary dynamics of biological games
    • doi:10.1126/science.1093411
    • Nowak MA, Sigmund K. 2004 Evolutionary dynamics of biological games. Science 303, 793-799. (doi:10.1126/science.1093411)
    • (2004) Science , vol.303 , pp. 793-799
    • Nowak, M.A.1    Sigmund, K.2
  • 10
    • 33645974834 scopus 로고    scopus 로고
    • Evolutionary game dynamics in a Wright-Fisher process
    • doi:10.1007/s00285-005-0369-8
    • Imhof LA, Nowak MA. 2006 Evolutionary game dynamics in a Wright-Fisher process. J. Math. Biol. 52, 667-681. (doi:10.1007/s00285-005-0369-8)
    • (2006) J. Math. Biol. , vol.52 , pp. 667-681
    • Imhof, L.A.1    Nowak, M.A.2
  • 12
    • 7444261396 scopus 로고    scopus 로고
    • Evolutionary game dynamics in finite populations
    • doi:10.1016/j.bulm.2004.03.004
    • Taylor C, Fudenberg D, Sasaki A, Nowak MA. 2004 Evolutionary game dynamics in finite populations. Bull. Math. Biol. 66, 1621-1644. (doi:10.1016/j.bulm.2004.03.004)
    • (2004) Bull. Math. Biol. , vol.66 , pp. 1621-1644
    • Taylor, C.1    Fudenberg, D.2    Sasaki, A.3    Nowak, M.A.4
  • 13
    • 68949088008 scopus 로고    scopus 로고
    • Deterministic evolutionary game dynamics in finite populations
    • doi:10.1103/PhysRevE.80.011909
    • Altrock PM, Traulsen A. 2009 Deterministic evolutionary game dynamics in finite populations. Phys. Rev. E 80, 011909. (doi:10.1103/PhysRevE.80.011909)
    • (2009) Phys. Rev. E , vol.80 , pp. 011909
    • Altrock, P.M.1    Traulsen, A.2
  • 14
    • 79961031451 scopus 로고    scopus 로고
    • Local replicator dynamics: A simple link between deterministic and stochastic models of evolutionary game theory
    • doi:10.1007/s11538-010-9608-2
    • Hilbe C. 2011 Local replicator dynamics: a simple link between deterministic and stochastic models of evolutionary game theory. Bull. Math. Biol. 73, 2068-2087. (doi:10.1007/s11538-010-9608-2)
    • (2011) Bull. Math. Biol. , vol.73 , pp. 2068-2087
    • Hilbe, C.1
  • 15
    • 84868535032 scopus 로고    scopus 로고
    • Frequency-dependent fitness induces multistability in coevolutionary dynamics
    • doi:10.1098/rsif.2012.0464
    • Arnoldt H, Timme M, Grosskinsky S. 2012 Frequency-dependent fitness induces multistability in coevolutionary dynamics. J. R. Soc. Interface 9, 3387-3396. (doi:10.1098/rsif.2012.0464)
    • (2012) J. R. Soc. Interface , vol.9 , pp. 3387-3396
    • Arnoldt, H.1    Timme, M.2    Grosskinsky, S.3
  • 16
    • 0028911466 scopus 로고
    • Types of evolutionary stability and the problem of cooperation
    • doi:10.1073/pnas.92.8.3596
    • Bendor J, Swistak P. 1995 Types of evolutionary stability and the problem of cooperation. Proc. Natl Acad. Sci. USA 92, 3596-3600. (doi:10.1073/pnas.92. 8.3596)
    • (1995) Proc. Natl Acad. Sci. USA , vol.92 , pp. 3596-3600
    • Bendor, J.1    Swistak, P.2
  • 17
    • 33645235962 scopus 로고    scopus 로고
    • Stabilizing the Earth's climate is not a losing game: Supporting evidence from public goods experiments
    • doi:10.1073/pnas.0504902103
    • Milinski M, Semmann D, Krambeck H-J, Marotzke J. 2006 Stabilizing the Earth's climate is not a losing game: supporting evidence from public goods experiments. Proc. Natl Acad. Sci. USA 103, 3994-3998. (doi:10.1073/pnas. 0504902103)
    • (2006) Proc. Natl Acad. Sci. USA , vol.103 , pp. 3994-3998
    • Milinski, M.1    Semmann, D.2    Krambeck, H.-J.3    Marotzke, J.4
  • 19
    • 33847770682 scopus 로고    scopus 로고
    • Pairwise comparison and selection temperature in evolutionary game dynamics
    • doi:10.1016/j.jtbi.2007.01.002
    • Traulsen A, Pacheco JM, Nowak MA. 2007 Pairwise comparison and selection temperature in evolutionary game dynamics. J. Theor. Biol. 246, 522-529. (doi:10.1016/j.jtbi.2007.01.002)
    • (2007) J. Theor. Biol. , vol.246 , pp. 522-529
    • Traulsen, A.1    Pacheco, J.M.2    Nowak, M.A.3
  • 20
    • 28844506643 scopus 로고    scopus 로고
    • Coevolutionary dynamics: From finite to infinite populations
    • doi:10.1103/PhysRevLett.95.238701
    • 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
  • 21
    • 78651277890 scopus 로고    scopus 로고
    • Universality of weak selection
    • doi:10.1103/PhysRevE.82.046106
    • Wu B, Altrock PM, Wang L, Traulsen A. 2010 Universality of weak selection. Phys. Rev. E 82, 046106. (doi:10.1103/PhysRevE.82.046106)
    • (2010) Phys. Rev. E , vol.82 , pp. 046106
    • Wu, B.1    Altrock, P.M.2    Wang, L.3    Traulsen, A.4
  • 22
    • 0002180201 scopus 로고    scopus 로고
    • Evolutionary prisoner's dilemma game on a square lattice
    • doi:10.1103/PhysRevE.58.69
    • Szabó G, To{combining double acute accent}ke C. 1998 Evolutionary prisoner's dilemma game on a square lattice. Phys. Rev. E 58, 69-73. (doi:10.1103/PhysRevE.58.69)
    • (1998) Phys. Rev. E , vol.58 , pp. 69-73
    • Szabó, G.1    Toke, C.2
  • 23
    • 79960988404 scopus 로고    scopus 로고
    • Emergence of social cohesion in a model society of greedy, mobile individuals
    • doi:10.1073/pnas.1101044108
    • Roca CP, Helbing D. 2011 Emergence of social cohesion in a model society of greedy, mobile individuals. Proc. Natl Acad. Sci. USA 108, 11 370-11 374. (doi:10.1073/pnas.1101044108)
    • (2011) Proc. Natl Acad. Sci. USA , vol.108 , pp. 11370-11374
    • Roca, C.P.1    Helbing, D.2
  • 24
    • 34250617077 scopus 로고    scopus 로고
    • Evolutionary games on graphs
    • doi:10.1016/j.physrep.2007.04.004
    • 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
  • 25
    • 38749129658 scopus 로고    scopus 로고
    • Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game
    • doi:10.1103/PhysRevE.77.017103
    • Chen X, Wang L. 2008 Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game. Phys. Rev. E 77, 017103. (doi:10.1103/PhysRevE.77.017103)
    • (2008) Phys. Rev. E , vol.77 , pp. 017103
    • Chen, X.1    Wang, L.2
  • 26
    • 33750031286 scopus 로고    scopus 로고
    • Imitation processes with small mutations
    • doi:10.1016/j.jet.2005.04.006
    • Fudenberg D, Imhof LA. 2006 Imitation processes with small mutations. J. Econ. Theor. 131, 251-262. (doi:10.1016/j.jet.2005.04.006)
    • (2006) J. Econ. Theor. , vol.131 , pp. 251-262
    • Fudenberg, D.1    Imhof, L.A.2
  • 27
    • 34248388067 scopus 로고    scopus 로고
    • The probability of fixation of a single mutant in an exchangeable selection model
    • doi:10.1007/s00285-007-0069-7
    • Lessard S, Ladret V. 2007 The probability of fixation of a single mutant in an exchangeable selection model. J. Math. Biol. 54, 721-744. (doi:10.1007/s00285-007-0069-7)
    • (2007) J. Math. Biol. , vol.54 , pp. 721-744
    • Lessard, S.1    Ladret, V.2
  • 29
    • 70349495228 scopus 로고    scopus 로고
    • Mutation-selection equilibrium in games with mixed strategies
    • doi:10.1016/j.jtbi.2009.07.028
    • Tarnita CE, Antal T, Nowak MA. 2009 Mutation-selection equilibrium in games with mixed strategies. J. Theor. Biol. 261, 50-57. (doi:10.1016/j.jtbi. 2009.07.028)
    • (2009) J. Theor. Biol. , vol.261 , pp. 50-57
    • Tarnita, C.E.1    Antal, T.2    Nowak, M.A.3
  • 30
    • 84866503922 scopus 로고    scopus 로고
    • Spontaneous giving and calculated greed
    • doi:10.1038/nature11467
    • Rand DG, Greene JD, Nowak MA. 2012 Spontaneous giving and calculated greed. Nature 489, 427-430. (doi:10.1038/nature11467)
    • (2012) Nature , vol.489 , pp. 427-430
    • Rand, D.G.1    Greene, J.D.2    Nowak, M.A.3
  • 31
    • 2342586074 scopus 로고    scopus 로고
    • Nine-spined sticklebacks exploit the most reliable source when public and private information conflict
    • doi:10.1098/rspb.2004.2684
    • van Bergen Y, Coolen I, Laland KN. 2004 Nine-spined sticklebacks exploit the most reliable source when public and private information conflict. Proc. R. Soc. Lond. B 271, 957-962. (doi:10.1098/rspb.2004.2684)
    • (2004) Proc. R. Soc. Lond. B , vol.271 , pp. 957-962
    • Van Bergen, Y.1    Coolen, I.2    Laland, K.N.3
  • 32
    • 78651493399 scopus 로고    scopus 로고
    • Decision making in ant foragers (Lasius niger) facing conflicting private and social information
    • doi:10.1007/s00265-010-1020-2
    • Grüter C, Czaczkes TJ, Ratnieks FLW. 2011 Decision making in ant foragers (Lasius niger) facing conflicting private and social information. Behav. Ecol. Sociobiol. 65, 141-148. (doi:10.1007/s00265-010-1020-2)
    • (2011) Behav. Ecol. Sociobiol. , vol.65 , pp. 141-148
    • Grüter, C.1    Czaczkes, T.J.2    Ratnieks, F.L.W.3
  • 33
    • 44349145989 scopus 로고    scopus 로고
    • 'Conformity' in Norway rats?
    • doi:10.1016/j.anbehav.2007.11.012
    • Galef BG, Whiskin EE. 2008 'Conformity' in Norway rats? Anim. Behav. 75, 2035-2039. (doi:10.1016/j.anbehav.2007.11.012)
    • (2008) Anim. Behav. , vol.75 , pp. 2035-2039
    • Galef, B.G.1    Whiskin, E.E.2
  • 35
    • 1942517277 scopus 로고    scopus 로고
    • Emergence of cooperation and evolutionary stability in finite populations
    • doi:10.1038/nature02414
    • Nowak MA, Sasaki A, Taylor C, Fudenberg D. 2004 Emergence of cooperation and evolutionary stability in finite populations. Nature 428, 646-650. (doi:10.1038/nature02414)
    • (2004) Nature , vol.428 , pp. 646-650
    • Nowak, M.A.1    Sasaki, A.2    Taylor, C.3    Fudenberg, D.4
  • 36
    • 77950453747 scopus 로고    scopus 로고
    • Evolutionary games in the multiverse
    • doi:10.1073/pnas.0912214107
    • Gokhale CS, Traulsen A. 2010 Evolutionary games in the multiverse. Proc. Natl Acad. Sci. USA 107, 5500-5504. (doi:10.1073/pnas.0912214107)
    • (2010) Proc. Natl Acad. Sci. USA , vol.107 , pp. 5500-5504
    • Gokhale, C.S.1    Traulsen, A.2
  • 37
    • 0033595095 scopus 로고    scopus 로고
    • The efficiency of adapting aspiration levels
    • doi:10.1098/rspb.1999.0797
    • Posch M, Pichler A, Sigmund K. 1999 The efficiency of adapting aspiration levels. Proc. R. Soc. Lond. B 266, 1427-1435. (doi:10.1098/rspb.1999.0797)
    • (1999) Proc. R. Soc. Lond. B , vol.266 , pp. 1427-1435
    • Posch, M.1    Pichler, A.2    Sigmund, K.3
  • 38
    • 84859268850 scopus 로고    scopus 로고
    • On the robustness of the extension of the one-third law of evolution to the multi-player game
    • doi:10.1007/s13235-011-0010-y
    • Lessard S. 2011 On the robustness of the extension of the one-third law of evolution to the multi-player game. Dyn. Games Appl. 1, 408-418. (doi:10.1007/s13235-011-0010-y)
    • (2011) Dyn. Games Appl. , vol.1 , pp. 408-418
    • Lessard, S.1
  • 40
    • 33747856809 scopus 로고
    • Reexamination of the perfectness concept for equilibrium points in extensive games
    • doi:10.1007/BF01766400
    • Selten R. 1975 Reexamination of the perfectness concept for equilibrium points in extensive games. Int. J. Game Theory 4, 25-55. (doi:10.1007/ BF01766400)
    • (1975) Int. J. Game Theory , vol.4 , pp. 25-55
    • Selten, R.1
  • 41
    • 0347829025 scopus 로고
    • Refinements of the Nash equilibrium concept
    • doi:10.1007/BF01753236
    • Myerson RB. 1978 Refinements of the Nash equilibrium concept. Int. J. Game Theory 7, 73-80. (doi:10.1007/BF01753236)
    • (1978) Int. J. Game Theory , vol.7 , pp. 73-80
    • Myerson, R.B.1
  • 42
    • 43949168352 scopus 로고
    • The statistical mechanics of strategic interaction
    • doi:10.1006/game.1993.1023
    • Blume LE. 1993 The statistical mechanics of strategic interaction. Games Econ. Behav. 5, 387-424. (doi:10.1006/game.1993.1023)
    • (1993) Games Econ. Behav. , vol.5 , pp. 387-424
    • Blume, L.E.1
  • 43
    • 77950380864 scopus 로고    scopus 로고
    • The future of social experimenting
    • doi:10.1073/pnas. 1000140107
    • Helbing D, Yu W. 2010 The future of social experimenting. Proc. Natl Acad. Sci. USA 107, 5265-5266. (doi:10.1073/pnas. 1000140107)
    • (2010) Proc. Natl Acad. Sci. USA , vol.107 , pp. 5265-5266
    • Helbing, D.1    Yu, W.2
  • 44
    • 84869845898 scopus 로고    scopus 로고
    • Consistent strategy updating in a spatial and non-spatial behavioral experiment does not promote cooperation in social networks
    • doi:10.1371/journal.pone.0047718
    • Grujić J, Röhl T, Semmann D, Milinski M, Traulsen A. 2012 Consistent strategy updating in a spatial and non-spatial behavioral experiment does not promote cooperation in social networks. PLoS ONE 7, e47718. (doi:10.1371/journal.pone.0047718)
    • (2012) PLoS ONE , vol.7
    • Grujić, J.1    Röhl, T.2    Semmann, D.3    Milinski, M.4    Traulsen, A.5
  • 45
    • 60849107767 scopus 로고    scopus 로고
    • Fixation times in evolutionary games under weak selection
    • doi:10.1088/1367-2630/11/1/013012
    • Altrock PM, Traulsen A. 2009 Fixation times in evolutionary games under weak selection. New J. Phys. 11, 013012. (doi:10.1088/1367-2630/11/1/013012)
    • (2009) New J. Phys. , vol.11 , pp. 013012
    • Altrock, P.M.1    Traulsen, A.2
  • 46
    • 33749642862 scopus 로고    scopus 로고
    • A symmetry of fixation times in evolutionary dynamics
    • doi:10.1016/j.jtbi.2006.06.016
    • Taylor C, Iwasa Y, Nowak MA. 2006 A symmetry of fixation times in evolutionary dynamics. J. Theor. Biol. 243, 245-251. (doi:10.1016/j.jtbi.2006. 06.016)
    • (2006) J. Theor. Biol. , vol.243 , pp. 245-251
    • Taylor, C.1    Iwasa, Y.2    Nowak, M.A.3
  • 50
    • 40649105276 scopus 로고    scopus 로고
    • The collective-risk social dilemma and the prevention of simulated dangerous climate change
    • doi:10.1073/pnas.0709546105
    • Milinski M, Sommerfeld RD, Krambeck H-J, Reed FA, Marotzke J. 2008 The collective-risk social dilemma and the prevention of simulated dangerous climate change. Proc. Natl Acad. Sci. USA 105, 2291-2294. (doi:10.1073/pnas.0709546105)
    • (2008) Proc. Natl Acad. Sci. USA , vol.105 , pp. 2291-2294
    • Milinski, M.1    Sommerfeld, R.D.2    Krambeck, H.-J.3    Reed, F.A.4    Marotzke, J.5
  • 51
    • 79960590927 scopus 로고    scopus 로고
    • Risk of collective failure provides an escape from the tragedy of the commons
    • doi:10.1073/pnas.1015648108
    • Santos FC, Pacheco JM. 2011 Risk of collective failure provides an escape from the tragedy of the commons. Proc. Natl Acad. Sci. USA 108, 10 421-10 425. (doi:10.1073/pnas.1015648108)
    • (2011) Proc. Natl Acad. Sci. USA , vol.108 , pp. 10421-10425
    • Santos, F.C.1    Pacheco, J.M.2
  • 52
    • 84879163218 scopus 로고    scopus 로고
    • The evolution of strategic timing in collective-risk dilemmas
    • doi:10.1371/journal.pone.0066490
    • Hilbe C, Abou Chakra M, Altrock PM, Traulsen A. 2013 The evolution of strategic timing in collective-risk dilemmas. PLoS ONE 6, e66490. (doi:10.1371/journal.pone.0066490)
    • (2013) PLoS ONE , vol.6
    • Hilbe, C.1    Abou Chakra, M.2    Altrock, P.M.3    Traulsen, A.4
  • 53
    • 1942421127 scopus 로고    scopus 로고
    • Spatial structure often inhibits the evolution of cooperation in the snowdrift game
    • doi:10.1038/nature02360
    • Hauert C, Doebeli M. 2004 Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428, 643-646. (doi:10.1038/ nature02360)
    • (2004) Nature , vol.428 , pp. 643-646
    • Hauert, C.1    Doebeli, M.2
  • 54
    • 7444220125 scopus 로고    scopus 로고
    • The evolutionary origin of cooperators and defectors
    • doi:10.1126/science.1101456
    • Doebeli M, Hauert C, Killingback T. 2004 The evolutionary origin of cooperators and defectors. Science 306, 859-862. (doi:10.1126/science.1101456)
    • (2004) Science , vol.306 , pp. 859-862
    • Doebeli, M.1    Hauert, C.2    Killingback, T.3
  • 55
    • 0027171029 scopus 로고
    • Evolutionary games and computer simulations
    • doi:10.1073/pnas.90.16.7716
    • Huberman BA, Glance NS. 1993 Evolutionary games and computer simulations. Proc. Natl Acad. Sci. USA 90, 7716-7718. (doi:10.1073/pnas.90.16.7716)
    • (1993) Proc. Natl Acad. Sci. USA , vol.90 , pp. 7716-7718
    • Huberman, B.A.1    Glance, N.S.2
  • 56
    • 0028308570 scopus 로고
    • Spatial games and the maintenance of cooperation
    • doi:10.1073/pnas.91.11.4877
    • Nowak MA, Bonhoeffer S, May RM. 1994 Spatial games and the maintenance of cooperation. Proc. Natl Acad. Sci. USA 91, 4877-4881. (doi:10.1073/pnas.91.11. 4877)
    • (1994) Proc. Natl Acad. Sci. USA , vol.91 , pp. 4877-4881
    • Nowak, M.A.1    Bonhoeffer, S.2    May, R.M.3
  • 57
    • 84891747580 scopus 로고    scopus 로고
    • Measures of success in a class of evolutionary models with fixed population size and structure
    • doi:10.1007/s00285-012-0622-x
    • Allen B, Tarnita CE. 2012 Measures of success in a class of evolutionary models with fixed population size and structure. J. Math. Biol. 68, 109-143. (doi:10.1007/s00285-012-0622-x)
    • (2012) J. Math. Biol. , vol.68 , pp. 109-143
    • Allen, B.1    Tarnita, C.E.2
  • 58
    • 20744435030 scopus 로고    scopus 로고
    • Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game
    • doi:10.1111/j.1461-0248.2005.00773.x
    • Doebeli M, Hauert C. 2005 Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game. Ecol. Lett. 8, 748-766. (doi:10.1111/j.1461- 0248.2005.00773.x)
    • (2005) Ecol. Lett. , vol.8 , pp. 748-766
    • Doebeli, M.1    Hauert, C.2
  • 59
    • 79051471178 scopus 로고    scopus 로고
    • Cooperative behavior in a model of evolutionary snowdrift games with N-person interactions
    • doi:10.1209/0295-5075/80/18002
    • Zheng D-F, Yin HP, Chan CH, Hui PM. 2007 Cooperative behavior in a model of evolutionary snowdrift games with N-person interactions. Europhys. Lett. 80, 18002. (doi:10.1209/0295-5075/80/18002)
    • (2007) Europhys. Lett. , vol.80 , pp. 18002
    • Zheng, D.-F.1    Yin, H.P.2    Chan, C.H.3    Hui, P.M.4
  • 60
    • 33751552367 scopus 로고    scopus 로고
    • Memory-based snowdrift game on networks
    • doi:10.1103/PhysRevE.74.056113
    • Wang W-X, Ren J, Chen G, Wang B-H. 2006 Memory-based snowdrift game on networks. Phys. Rev. E 74, 056113. (doi:10.1103/PhysRevE.74.056113)
    • (2006) Phys. Rev. E , vol.74 , pp. 056113
    • Wang, W.-X.1    Ren, J.2    Chen, G.3    Wang, B.-H.4
  • 61
    • 34247847985 scopus 로고    scopus 로고
    • Self-questioning games and ping-pong effect in the BA network
    • doi:10.1016/j.physa.2007.02.086
    • Gao K, Wang W-X, Wang B-H. 2007 Self-questioning games and ping-pong effect in the BA network. Physica A 380, 528-538. (doi:10.1016/j.physa.2007.02. 086)
    • (2007) Physica A , vol.380 , pp. 528-538
    • Gao, K.1    Wang, W.-X.2    Wang, B.-H.3
  • 62
    • 79959345432 scopus 로고    scopus 로고
    • Aspiration-based learning promotes cooperation in spatial prisoner's dilemma games
    • doi:10.1209/0295-5075/94/60002
    • Liu Y, Chen X, Wang L, Li B, Zhang W, Wang H. 2011 Aspiration-based learning promotes cooperation in spatial prisoner's dilemma games. Europhys. Lett. 94, 60002. (doi:10.1209/0295-5075/94/60002)
    • (2011) Europhys. Lett. , vol.94 , pp. 60002
    • Liu, Y.1    Chen, X.2    Wang, L.3    Li, B.4    Zhang, W.5    Wang, H.6
  • 63
    • 0031224966 scopus 로고    scopus 로고
    • Multi-player matrix games
    • doi:10.1007/BF02460000
    • Broom M, Cannings C, Vickers GT. 1997 Multi-player matrix games. Bull. Math. Biol. 59, 931-952. (doi:10.1007/BF02460000)
    • (1997) Bull. Math. Biol. , vol.59 , pp. 931-952
    • Broom, M.1    Cannings, C.2    Vickers, G.T.3
  • 64
    • 64849113193 scopus 로고    scopus 로고
    • Emergence of cooperation in public goods games
    • doi:10.1098/rspb.2008.1546
    • Kurokawa S, Ihara Y. 2009 Emergence of cooperation in public goods games. Proc. R. Soc. B 276, 1379-1384. (doi:10.1098/rspb.2008.1546)
    • (2009) Proc. R. Soc. B , vol.276 , pp. 1379-1384
    • Kurokawa, S.1    Ihara, Y.2
  • 65
    • 58149234977 scopus 로고    scopus 로고
    • Evolutionary dynamics of collective action in N-person stag hunt dilemmas
    • doi:10.1098/rspb.2008.1126
    • Pacheco JM, Santos FC, Souza MO, Skyrms B. 2009 Evolutionary dynamics of collective action in N-person 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
  • 66
    • 70249145392 scopus 로고    scopus 로고
    • Evolution of cooperation under N-person snowdrift games
    • doi:10.1016/j.jtbi.2009.07.010
    • Souza MO, Pacheco JM, Santos FC. 2009 Evolution of cooperation under N-person snowdrift games. J. Theor. Biol. 260, 581-588. (doi:10.1016/j.jtbi. 2009.07.010)
    • (2009) J. Theor. Biol. , vol.260 , pp. 581-588
    • Souza, M.O.1    Pacheco, J.M.2    Santos, F.C.3
  • 67
    • 84876137675 scopus 로고    scopus 로고
    • Evolutionary dynamics of group interactions on structured populations: A review
    • doi:10.1098/rsif.2012.0997
    • Perc M, Gómez-Gardeñes J, Szolnoki A, Floría LM, Moreno Y. 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, L.M.4    Moreno, Y.5
  • 68
    • 84880389178 scopus 로고    scopus 로고
    • Dynamic properties of evolutionary multi-player games in finite populations
    • doi:10.3390/g4020182
    • Wu B, Traulsen A, Gokhale SC. 2013 Dynamic properties of evolutionary multi-player games in finite populations. Games 4, 182-199. (doi:10.3390/ g4020182)
    • (2013) Games , vol.4 , pp. 182-199
    • Wu, B.1    Traulsen, A.2    Gokhale, S.C.3
  • 69
    • 84861955695 scopus 로고    scopus 로고
    • Evolution of global cooperation driven by risks
    • doi:10.1103/PhysRevE.85.056117
    • Du J, Wu B, Wang L. 2012 Evolution of global cooperation driven by risks. Phys. Rev. E 85, 056117. (doi:10.1103/PhysRevE.85.056117)
    • (2012) Phys. Rev. E , vol.85 , pp. 056117
    • Du, J.1    Wu, B.2    Wang, L.3
  • 70
    • 84866061213 scopus 로고    scopus 로고
    • Evolutionary dynamics of strategic behavior in a collective-risk dilemma
    • doi:10.1371/journal.pcbi.1002652
    • Abou Chakra M, Traulsen A. 2012 Evolutionary dynamics of strategic behavior in a collective-risk dilemma. PLoS Comput. Biol. 8, e1002652. (doi:10.1371/journal.pcbi.1002652)
    • (2012) PLoS Comput. Biol. , vol.8
    • Abou Chakra, M.1    Traulsen, A.2
  • 71
    • 84864752378 scopus 로고    scopus 로고
    • The mechanics of stochastic slowdown in evolutionary games
    • doi:10.1016/j.jtbi.2012.07.003
    • Altrock PM, Traulsen A, Galla T. 2012 The mechanics of stochastic slowdown in evolutionary games. J. Theor. Biol. 311, 94-106. (doi:10.1016/j.jtbi.2012.07.003)
    • (2012) J. Theor. Biol. , vol.311 , pp. 94-106
    • Altrock, P.M.1    Traulsen, A.2    Galla, T.3
  • 72
    • 84859587996 scopus 로고    scopus 로고
    • Stochastic differential equations for evolutionary dynamics with demographic noise and mutations
    • doi:10.1103/PhysRevE.85.041901
    • Traulsen A, Claussen JC, Hauert C. 2012 Stochastic differential equations for evolutionary dynamics with demographic noise and mutations. Phys. Rev. E 85, 041901. (doi:10.1103/PhysRevE.85.041901)
    • (2012) Phys. Rev. E , vol.85 , pp. 041901
    • Traulsen, A.1    Claussen, J.C.2    Hauert, C.3
  • 73
    • 84857919798 scopus 로고    scopus 로고
    • Evolving cooperation
    • doi:10.1016/j.jtbi.2012.01.014
    • Nowak MA. 2012 Evolving cooperation. J. Theor. Biol. 299, 1-8. (doi:10.1016/j.jtbi.2012.01.014)
    • (2012) J. Theor. Biol. , vol.299 , pp. 1-8
    • Nowak, M.A.1
  • 74
    • 84880960735 scopus 로고    scopus 로고
    • Human cooperation
    • doi:10.1016/j.tics.2013.06.003
    • Rand DG, Nowak MA. 2013 Human cooperation. Trends Cogn. Sci. 17, 413-425. (doi:10.1016/j.tics.2013.06.003)
    • (2013) Trends Cogn. Sci. , vol.17 , pp. 413-425
    • Rand, D.G.1    Nowak, M.A.2
  • 75
    • 78649736639 scopus 로고    scopus 로고
    • Social experiments in the mesoscale: Humans playing a spatial prisoner's dilemma
    • doi:10.1371/journal.pone.0013749
    • Grujić J, Fosco C, Araujo L, Cuesta J, Sánchez A. 2010 Social experiments in the mesoscale: humans playing a spatial prisoner's dilemma. PLoS ONE 5, e13749. (doi:10.1371/journal.pone.0013749)
    • (2010) PLoS ONE , vol.5
    • Grujić, J.1    Fosco, C.2    Araujo, L.3    Cuesta, J.4    Sánchez, A.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.