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Volumn 273, Issue 1598, 2006, Pages 2249-2256

Evolutionary games on cycles

Author keywords

Evolutionary dynamics; Evolutionary graph theory; Fixation probability; Frequency dependent selection; Prisoner's Dilemma; Spatial games

Indexed keywords

ANALYTICAL METHOD; EVOLUTIONARY THEORY; GAME THEORY; STOCHASTICITY;

EID: 33748256652     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.2006.3576     Document Type: Article
Times cited : (220)

References (74)
  • 1
    • 0035276787 scopus 로고    scopus 로고
    • Social games in a social network
    • doi:10.1103/PhysRevE.63.030901
    • Abramson, G. & Kuperman, M. 2001 Social games in a social network. Phys. Rev. E 63, 030901. (doi:10.1103/PhysRevE.63.030901)
    • (2001) Phys. Rev. E , vol.63 , pp. 030901
    • Abramson, G.1    Kuperman, M.2
  • 3
    • 0019480612 scopus 로고
    • The evolution of cooperation
    • Axelrod, R. & Hamilton, W. D. 1981 The evolution of cooperation. Science 211, 1390-1396.
    • (1981) Science , vol.211 , pp. 1390-1396
    • Axelrod, R.1    Hamilton, W.D.2
  • 4
    • 85020812218 scopus 로고
    • Game theory and the social contract, vol. 1. Playing fair
    • Binmore, K. 1994 Game theory and the social contract, vol. 1. Playing fair. Cambridge, MA: MIT Press.
    • (1994) Cambridge, MA: MIT Press , vol.1
    • Binmore, K.1
  • 5
    • 0038191147 scopus 로고    scopus 로고
    • Punishment and reputation in spatial public goods games
    • doi:10.1098/rspb.2003.2336
    • Brandt, H., Hauert, C. & Sigmund, K. 2003 Punishment and reputation in spatial public goods games. Proc. R. Soc. B 270, 1099-1104. (doi:10.1098/rspb.2003.2336)
    • (2003) Proc. R. Soc. B , vol.270 , pp. 1099-1104
    • Brandt, H.1    Hauert, C.2    Sigmund, K.3
  • 7
    • 0031581847 scopus 로고    scopus 로고
    • Spatial and density effects in evolutionary game theory
    • doi:10.1006/jtbi.1996.0251
    • Cressman, R. & Vickers, G. T. 1997 Spatial and density effects in evolutionary game theory. J. Theor. Biol. 184, 359-369. (doi:10.1006/jtbi.1996. 0251)
    • (1997) J. Theor. Biol. , vol.184 , pp. 359-369
    • Cressman, R.1    Vickers, G.T.2
  • 8
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • doi:10.1006/tpbi.1994.1032
    • Durrett, R. & Levin, S. A. 1994 The importance of being discrete (and spatial). Theor. Popul. Biol. 46, 363-394. (doi:10.1006/tpbi.1994.1032)
    • (1994) Theor. Popul. Biol. , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.A.2
  • 9
    • 41349103440 scopus 로고    scopus 로고
    • Coevolutionary games on networks
    • doi:10.1103/PhysRevE.66.056118
    • Ebel, H. & Bornholdt, S. 2002 Coevolutionary games on networks. Phys. Rev. E 66, 056118. (doi:10.1103/PhysRevE.66.056118)
    • (2002) Phys. Rev. E , vol.66 , pp. 056118
    • Ebel, H.1    Bornholdt, S.2
  • 10
    • 0001601690 scopus 로고
    • Learning, local interaction, and coordination
    • Ellison, G. 1993 Learning, local interaction, and coordination. Econometrica 61, 1047-1071.
    • (1993) Econometrica , vol.61 , pp. 1047-1071
    • Ellison, G.1
  • 11
    • 0002587523 scopus 로고    scopus 로고
    • Zones of cooperation in demographic Prisoner's Dilemma
    • doi:10.1002/(SICI)1099-0526(199811/12)4:2<36::AID-CPLX9>3.0. CO;2-Z
    • Epstein, J. M. 1998 Zones of cooperation in demographic Prisoner's Dilemma. Complexity 4, 36-48. (doi:10.1002/(SICI)1099-0526(199811/12)4:2<36:: AID-CPLX9>3.0. CO;2-Z)
    • (1998) Complexity , vol.4 , pp. 36-48
    • Epstein, J.M.1
  • 12
    • 0033479562 scopus 로고    scopus 로고
    • The emergence of kinship behavior in structured populations of unrelated individuals
    • doi:10.1007/s001820050119
    • Eshel, I., Sansone, E. & Shaked, A. 1999 The emergence of kinship behavior in structured populations of unrelated individuals. Int. J. Game Theory 28, 447-463. (doi:10.1007/s001820050119)
    • (1999) Int. J. Game Theory , vol.28 , pp. 447-463
    • Eshel, I.1    Sansone, E.2    Shaked, A.3
  • 14
    • 0041152046 scopus 로고    scopus 로고
    • Cooperation and punishment in public goods experiments
    • Fehr, E. & Gächter, S. 2000 Cooperation and punishment in public goods experiments. Am. Econ. Rev. 90, 980-994.
    • (2000) Am. Econ. Rev. , vol.90 , pp. 980-994
    • Fehr, E.1    Gächter, S.2
  • 17
    • 0003860985 scopus 로고    scopus 로고
    • Princeton, NJ: Princeton University Press
    • Gintis, H. 2000 Game theory evolving. Princeton, NJ: Princeton University Press.
    • (2000) Game Theory Evolving
    • Gintis, H.1
  • 18
    • 0014219333 scopus 로고
    • Extraordinary sex ratios
    • Hamilton, W. D. 1967 Extraordinary sex ratios. Science 156, 477-488.
    • (1967) Science , vol.156 , pp. 477-488
    • Hamilton, W.D.1
  • 19
    • 0029415859 scopus 로고
    • Population persistence and spatially limited social interaction
    • doi:10.1006/tpbi.1995.1022
    • Harada, Y., Ezoe, H., Iwasa, Y., Matsuda, H. & Sato, K. 1995 Population persistence and spatially limited social interaction. Theor. Popul. Biol. 48, 65-91. (doi:10.1006/tpbi.1995.1022)
    • (1995) Theor. Popul. Biol. , vol.48 , pp. 65-91
    • Harada, Y.1    Ezoe, H.2    Iwasa, Y.3    Matsuda, H.4    Sato, K.5
  • 20
    • 0028170380 scopus 로고
    • Species coexistence and self-organizing spatial dynamics
    • doi:10.1038/370290a0
    • Hassell, M. P., Comins, H. N. & May, R. M. 1994 Species coexistence and self-organizing spatial dynamics. Nature 370, 290-292. (doi:10.1038/ 370290a0)
    • (1994) Nature , vol.370 , pp. 290-292
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 21
    • 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
  • 22
    • 2142663237 scopus 로고    scopus 로고
    • Prisoner's Dilemma and public goods games in different geometries: Compulsory versus voluntary interactions
    • doi:10.1002/cplx.10092
    • Hauert, C. & Szabo, G. 2003 Prisoner's Dilemma and public goods games in different geometries: compulsory versus voluntary interactions. Complexity 8, 31-38. (doi:10.1002/cplx.10092)
    • (2003) Complexity , vol.8 , pp. 31-38
    • Hauert, C.1    Szabo, G.2
  • 23
    • 20044380591 scopus 로고    scopus 로고
    • Game theory and physics
    • doi:10.1119/1.1848514
    • Hauert, C. & Szabó, G. 2005 Game theory and physics. Am. J. Phys. 73, 405-414. (doi:10.1119/1.1848514)
    • (2005) Am. J. Phys. , vol.73 , pp. 405-414
    • Hauert, C.1    Szabó, G.2
  • 24
    • 0037052461 scopus 로고    scopus 로고
    • Volunteering as red queen mechanism for cooperation in public goods game
    • doi:10.1126/science.1070582
    • 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
  • 25
    • 0028162148 scopus 로고
    • Collective phenomena in spatially extended evolutionary games
    • doi:10.1006/jtbi.1994.1130
    • Herz, A. V. M. 1994 Collective phenomena in spatially extended evolutionary games. J. Theor. Biol. 169, 65-87. (doi:10.1006/jtbi.1994.1130)
    • (1994) J. Theor. Biol. , vol.169 , pp. 65-87
    • Herz, A.V.M.1
  • 27
    • 0141680332 scopus 로고    scopus 로고
    • Evolutionary game dynamics
    • doi:10.1090/S0273-0979-03-00988-1
    • Hofbauer, J. & Sigmund, K. 2003 Evolutionary game dynamics. Bull. Am. Math. Soc. 40, 479-519. (doi:10.1090/S0273-0979-03-00988-1)
    • (2003) Bull. Am. Math. Soc. , vol.40 , pp. 479-519
    • Hofbauer, J.1    Sigmund, K.2
  • 28
    • 0018570440 scopus 로고
    • A note on evolutionarily stable strategies and game dynamics
    • doi:10.1016/0022-5193(79)90058-4
    • Hofbauer, J., Schuster, P. & Sigmund, K. 1979 A note on evolutionarily stable strategies and game dynamics. J. Theor. Biol. 81, 609-612. (doi:10.1016/0022-5193(79)90058-4)
    • (1979) J. Theor. Biol. , vol.81 , pp. 609-612
    • Hofbauer, J.1    Schuster, P.2    Sigmund, K.3
  • 29
    • 84951601383 scopus 로고
    • Travelling waves and dominance of ESS's
    • doi:10.1007/BF00160531
    • Hutson, V. C. L. & Vickers, G. T. 1992 Travelling waves and dominance of ESS's. J. Math. Biol. 30, 457-471. (doi:10.1007/BF00160531)
    • (1992) J. Math. Biol. , vol.30 , pp. 457-471
    • Hutson, V.C.L.1    Vickers, G.T.2
  • 30
    • 4444229348 scopus 로고    scopus 로고
    • Effects of neighbourhoodsize and connectivity on the spatial continuous Prisoner's Dilemma
    • doi:10.1016/j.jtbi.2004.06.003
    • Ifti, M., Killingback, T. & Doebeli, M. 2004 Effects of neighbourhoodsize and connectivity on the spatial continuous Prisoner's Dilemma. J. Theor. Biol. 231, 97-106. (doi:10.1016/j.jtbi.2004.06.003)
    • (2004) J. Theor. Biol. , vol.231 , pp. 97-106
    • Ifti, M.1    Killingback, T.2    Doebeli, M.3
  • 31
    • 33645974834 scopus 로고    scopus 로고
    • Evolutionary game dynamics in a Wright-Fisher process
    • Imhof, L. A. & Nowak, M. A. 2006 Evolutionary game dynamics in a Wright-Fisher process. J. Math. Biol. 52, 667-681.
    • (2006) J. Math. Biol. , vol.52 , pp. 667-681
    • Imhof, L.A.1    Nowak, M.A.2
  • 32
    • 0035544910 scopus 로고    scopus 로고
    • Evolution of altruism in a stepping-stone population with overlapping generations
    • doi:10.1006/tpbi.2001.1533
    • Irwin, A. & Taylor, P. 2001 Evolution of altruism in a stepping-stone population with overlapping generations. Theor. Popul. Biol. 60, 315-325. (doi:10.1006/tpbi.2001.1533)
    • (2001) Theor. Popul. Biol. , vol.60 , pp. 315-325
    • Irwin, A.1    Taylor, P.2
  • 34
    • 0030435842 scopus 로고    scopus 로고
    • Spatial evolutionary game theory: Hawks and doves revisited
    • Killingback, T. & Doebeli, M. 1996 Spatial evolutionary game theory: hawks and doves revisited. Proc. R. Soc. B 263, 1135-1144.
    • (1996) Proc. R. Soc. B , vol.263 , pp. 1135-1144
    • Killingback, T.1    Doebeli, M.2
  • 35
    • 0242432403 scopus 로고    scopus 로고
    • The adaptive dynamics of altruism in spatially heterogeneous populations
    • Le Galliard, J., Fernere, R. & Dieckman, U. 2003 The adaptive dynamics of altruism in spatially heterogeneous populations. Evolution 57, 1-17.
    • (2003) Evolution , vol.57 , pp. 1-17
    • Le Galliard, J.1    Fernere, R.2    Dieckman, U.3
  • 36
    • 0016086051 scopus 로고
    • Disturbance, patch formation, and community structure
    • Levin, S. A. & Paine, R. T. 1974 Disturbance, patch formation, and community structure. Proc. Natl. Acad. Sci. USA 71, 2744-2747.
    • (1974) Proc. Natl. Acad. Sci. USA , vol.71 , pp. 2744-2747
    • Levin, S.A.1    Paine, R.T.2
  • 37
    • 12844260210 scopus 로고    scopus 로고
    • Evolutionary dynamics on graphs
    • doi:10.1038/nature03204
    • Lieberman, E., Hauert, C. & Nowak, M. A. 2005 Evolutionary dynamics on graphs. Nature 433, 312-316. (doi:10.1038/nature03204)
    • (2005) Nature , vol.433 , pp. 312-316
    • Lieberman, E.1    Hauert, C.2    Nowak, M.A.3
  • 38
    • 0000102527 scopus 로고
    • Evolutionary dynamics of spatial games
    • doi:10.1016/0167-2789(94)90289-5
    • Lindgren, K. & Nordahl, M. G. 1994 Evolutionary dynamics of spatial games. Physica D 75, 292-309. (doi:10.1016/0167-2789(94)90289-5)
    • (1994) Physica D , vol.75 , pp. 292-309
    • Lindgren, K.1    Nordahl, M.G.2
  • 40
    • 0000435608 scopus 로고
    • Statistical mechanics of population - The lattice Lotka-Volterra model
    • doi:10.1143/PTP.88.1035
    • Matsuda, H., Ogita, N., Sasaki, A. & Sato, K. 1992 Statistical mechanics of population-the lattice Lotka-Volterra model. Prog. Theor. Phys. 88, 1035-1049. (doi:10.1143/PTP.88.1035)
    • (1992) Prog. Theor. Phys. , vol.88 , pp. 1035-1049
    • Matsuda, H.1    Ogita, N.2    Sasaki, A.3    Sato, K.4
  • 41
    • 33745380511 scopus 로고    scopus 로고
    • Network structure and the biology of populations
    • In press
    • May R. M. In press. Network structure and the biology of populations. Trends Ecol. Evol.
    • Trends Ecol. Evol.
    • May, R.M.1
  • 43
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • doi:10.1038/246015a0
    • Maynard Smith, J. & Price, G. R. 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
  • 44
    • 26444470523 scopus 로고    scopus 로고
    • The evolution of altruism by costly punishment in the lattice structured population: Score-dependent viability versus score-dependent fertility
    • Nakamaru, M. & Iwasa, Y. 2005 The evolution of altruism by costly punishment in the lattice structured population: score-dependent viability versus score-dependent fertility. Evol. Ecol. Res. 7, 853-870.
    • (2005) Evol. Ecol. Res. , vol.7 , pp. 853-870
    • Nakamaru, M.1    Iwasa, Y.2
  • 45
    • 0031556935 scopus 로고    scopus 로고
    • The evolution of cooperation in a lattice structured population
    • doi:10.1006/jtbi.1996.0243
    • Nakamaru, M., Matsuda, H. & Iwasa, Y. 1997 The evolution of cooperation in a lattice structured population. J. Theor. Biol. 184, 65-81. (doi:10.1006/jtbi.1996.0243)
    • (1997) J. Theor. Biol. , vol.184 , pp. 65-81
    • Nakamaru, M.1    Matsuda, H.2    Iwasa, Y.3
  • 46
    • 0032494196 scopus 로고    scopus 로고
    • Score-dependent fertility model for the evolution of cooperation in a lattice
    • doi:10.1006/jtbi.1998.0750
    • Nakamaru, M., Nogami, H. & Iwasa, Y. 1998 Score-dependent fertility model for the evolution of cooperation in a lattice. J. Theor. Biol. 194, 101-124. (doi:10.1006/jtbi.1998.0750)
    • (1998) J. Theor. Biol. , vol.194 , pp. 101-124
    • Nakamaru, M.1    Nogami, H.2    Iwasa, Y.3
  • 47
    • 0026613691 scopus 로고
    • Evolutionary games and spatial chaos
    • doi:10.1038/359826a0
    • Nowak, M. A. & May, R. M. 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
  • 48
    • 0010415932 scopus 로고
    • The spatial dilemmas of evolution
    • doi:10.1142/S0218127493000040
    • Nowak, M. A. & May, R. M. 1993 The spatial dilemmas of evolution. Int. J. Bifurcat. Chaos 3, 35-78. (doi:10.1142/S0218127493000040)
    • (1993) Int. J. Bifurcat. Chaos , vol.3 , pp. 35-78
    • Nowak, M.A.1    May, R.M.2
  • 49
    • 0842288340 scopus 로고    scopus 로고
    • Evolutionary dynamics of biological games
    • doi:10.1126/science.1093411
    • Nowak, M. A. & 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
  • 50
    • 27644522801 scopus 로고    scopus 로고
    • Evolution of indirect reciprocity
    • doi:10.1038/nature04131
    • Nowak, M. A. & Sigmund, K. 2005 Evolution of indirect reciprocity. Nature 437, 1291-1298. (doi:10.1038/nature04131)
    • (2005) Nature , vol.437 , pp. 1291-1298
    • Nowak, M.A.1    Sigmund, K.2
  • 52
    • 1942517277 scopus 로고    scopus 로고
    • Emergence of cooperation and evolutionary stability in finite populations
    • doi:10.1038/nature02414
    • Nowak, M. A., 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
  • 54
    • 33745317468 scopus 로고    scopus 로고
    • A simple rule for the evolution of cooperation on graphs and social networks
    • In press
    • Ohtsuki, H., Hauert, C., Lieberman, E. & Nowak, M. A. In press. A simple rule for the evolution of cooperation on graphs and social networks. Nature.
    • Nature
    • Ohtsuki, H.1    Hauert, C.2    Lieberman, E.3    Nowak, M.A.4
  • 55
    • 0034619339 scopus 로고    scopus 로고
    • The spatial ultimatum game
    • doi:10.1098/rspb.2000.1266
    • Page, K. M., Nowak, M. A. & Sigmund, K. 2000 The spatial ultimatum game. Proc. R. Soc. B267, 2177-2182. (doi:10.1098/rspb.2000.1266)
    • (2000) Proc. R. Soc. , vol.B267 , pp. 2177-2182
    • Page, K.M.1    Nowak, M.A.2    Sigmund, K.3
  • 57
    • 33644751686 scopus 로고    scopus 로고
    • Evolutionary dynamics of social dilemmas in structured heterogeneous populations
    • doi:10.1073/pnas.0508201103
    • Santos, F. C., Pacheco, J. M. & Lenaerts, T. 2006a Evolutionary dynamics of social dilemmas in structured heterogeneous populations. Proc. Natl Acad. Sci. USA 103, 3490-3494. (doi:10.1073/pnas.0508201103)
    • (2006) Proc. Natl Acad. Sci. USA , vol.103 , pp. 3490-3494
    • Santos, F.C.1    Pacheco, J.M.2    Lenaerts, T.3
  • 58
    • 33645326920 scopus 로고    scopus 로고
    • Graph topology plays a determinant role in the evolution of cooperation
    • doi:10.1098/rspb.2005.3272
    • Santos, F. C., Rodrigues, J. F. & Pacheco, J. M. 2006b Graph topology plays a determinant role in the evolution of cooperation. Proc. R. Soc. B 273, 51-55. (doi:10.1098/rspb.2005.3272)
    • (2006) Proc. R. Soc. B , vol.273 , pp. 51-55
    • Santos, F.C.1    Rodrigues, J.F.2    Pacheco, J.M.3
  • 59
    • 0035845494 scopus 로고    scopus 로고
    • Reward and punishment
    • doi:10.1073/pnas.161155698
    • Sigmund, K., Hauert, C. & Nowak, M. A. 2001 Reward and punishment. Proc. Natl Acad. Sci. USA 98, 10 757-10 762. (doi:10.1073/pnas.161155698)
    • (2001) Proc. Natl Acad. Sci. USA , vol.98 , pp. 10757-10762
    • Sigmund, K.1    Hauert, C.2    Nowak, M.A.3
  • 60
    • 0034255271 scopus 로고    scopus 로고
    • A dynamic model of social network formation
    • doi:10.1073/pnas.97.16.9340
    • Skyrms, B. & Pemantle, R. 2000 A dynamic model of social network formation. Proc. Natl Acad. Sci. USA 97, 9340-9346. (doi:10.1073/pnas.97.16. 9340)
    • (2000) Proc. Natl Acad. Sci. USA , vol.97 , pp. 9340-9346
    • Skyrms, B.1    Pemantle, R.2
  • 61
    • 37649031244 scopus 로고    scopus 로고
    • Cooperation for volunteering and partially random partnerships
    • Szabo, G. & Vukov, J. 2004 Cooperation for volunteering and partially random partnerships. Phys. Rev. E 69, 036107.
    • (2004) Phys. Rev. E , vol.69 , pp. 036107
    • Szabo, G.1    Vukov, J.2
  • 62
    • 0027041690 scopus 로고
    • Altruism in viscous populations-an inclusive fitness model
    • doi:10.1007/BF02270971
    • Taylor, P. D. 1992 Altruism in viscous populations-an inclusive fitness model. Evol. Ecol. 6, 352-356. (doi:10.1007/BF02270971)
    • (1992) Evol. Ecol. , vol.6 , pp. 352-356
    • Taylor, P.D.1
  • 63
    • 0017819644 scopus 로고
    • Evolutionary stable strategies and game dynamics
    • doi:10.1016/0025-5564(78)90077-9
    • Taylor, P. D. & Jonker, L. 1978 Evolutionary stable strategies and game dynamics. Math. Biosci. 40, 145-156. (doi:10.1016/0025-5564(78)90077-9)
    • (1978) Math. Biosci. , vol.40 , pp. 145-156
    • Taylor, P.D.1    Jonker, L.2
  • 64
    • 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, M. A. 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
  • 65
    • 41349112311 scopus 로고    scopus 로고
    • Similarity-based cooperation and spatial segregation
    • doi:10.1103/PhysRevE.70.046128
    • Traulsen, A. & Claussen, J. C. 2004 Similarity-based cooperation and spatial segregation. Phys. Rev. E 70, 046128. (doi:10.1103/PhysRevE.70.046128)
    • (2004) Phys. Rev. E , vol.70 , pp. 046128
    • Traulsen, A.1    Claussen, J.C.2
  • 66
    • 28844506643 scopus 로고    scopus 로고
    • Coevolutionary dynamics: From finite to infinite populations
    • doi:10.1103/PhysRevLett.95.238701
    • Traulsen, A., Claussen, J. C. & 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
  • 67
    • 0002414229 scopus 로고
    • The evolution of reciprocal altruism
    • doi:10.1086/406755
    • Trivers, R. L. 1971 The evolution of reciprocal altruism. Q. Rev. Biol. 46, 35-57. (doi:10.1086/406755)
    • (1971) Q. Rev. Biol. , vol.46 , pp. 35-57
    • Trivers, R.L.1
  • 68
    • 0032555409 scopus 로고    scopus 로고
    • The unit of selection in viscous populations and the evolution of altruism
    • doi:10.1006/jtbi.1998.0730
    • van Baalen, M. & Rand, D. A. 1998 The unit of selection in viscous populations and the evolution of altruism. J. Theor. Biol. 193, 631-648. (doi:10.1006/jtbi.1998.0730)
    • (1998) J. Theor. Biol. , vol.193 , pp. 631-648
    • Van Baalen, M.1    Rand, D.A.2
  • 69
    • 0024967271 scopus 로고
    • Spatial patterns and ESS's
    • Vickers, G. T. 1989 Spatial patterns and ESS's. J. Theor. Biol. 140, 129-135.
    • (1989) J. Theor. Biol. , vol.140 , pp. 129-135
    • Vickers, G.T.1
  • 72
    • 0037023298 scopus 로고    scopus 로고
    • Cooperation and competition between relatives
    • doi:10.1126/science.1065507
    • West, S. A., Pen, I. & Griffin, A. S. 2002 Cooperation and competition between relatives. Science 296, 72-75. (doi:10.1126/science.1065507)
    • (2002) Science , vol.296 , pp. 72-75
    • West, S.A.1    Pen, I.2    Griffin, A.S.3


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