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Volumn 259, Issue 3, 2009, Pages 570-581

Strategy selection in structured populations

Author keywords

Evolutionary dynamics; Finite populations; Stochastic effects

Indexed keywords

EVOLUTIONARY THEORY; GAME THEORY; MUTATION; POPULATION STRUCTURE; STOCHASTICITY;

EID: 67649979847     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.03.035     Document Type: Article
Times cited : (256)

References (111)
  • 1
    • 0142054893 scopus 로고    scopus 로고
    • Finite population dynamics and mixed equilibria
    • Alos-Ferrer C. Finite population dynamics and mixed equilibria. Int. Game Theory Rev. 5 (2003) 263-290
    • (2003) Int. Game Theory Rev. , vol.5 , pp. 263-290
    • Alos-Ferrer, C.1
  • 2
    • 60449093877 scopus 로고    scopus 로고
    • Strategy abundance in 2 × 2 games for arbitrary mutation rates
    • Antal, T., Nowak, M.A., Traulsen, A., 2009a. Strategy abundance in 2 × 2 games for arbitrary mutation rates. J. Theor. Biol. 257, 340-344.
    • (2009) J. Theor. Biol , vol.257 , pp. 340-344
    • Antal, T.1    Nowak, M.A.2    Traulsen, A.3
  • 4
    • 0019480612 scopus 로고
    • The evolution of cooperation
    • Axelrod R., and Hamilton W.D. The evolution of cooperation. Science 211 (1981) 1390-1396
    • (1981) Science , vol.211 , pp. 1390-1396
    • Axelrod, R.1    Hamilton, W.D.2
  • 7
    • 44949280567 scopus 로고
    • Spiral wave structures in pre-biotic evolution: hypercycles stable against parasites
    • Boerlijst M.C., and Hogeweg P. Spiral wave structures in pre-biotic evolution: hypercycles stable against parasites. Physica D 48 (1991) 17-28
    • (1991) Physica D , vol.48 , pp. 17-28
    • Boerlijst, M.C.1    Hogeweg, P.2
  • 9
    • 51349138670 scopus 로고    scopus 로고
    • One-third rules with equality: second-order evolutionary stability conditions in finite populations
    • Bomze I., and Pawlowitsch C. One-third rules with equality: second-order evolutionary stability conditions in finite populations. J. Theor. Biol. 254 (2008) 616-620
    • (2008) J. Theor. Biol. , vol.254 , pp. 616-620
    • Bomze, I.1    Pawlowitsch, C.2
  • 10
    • 33646097886 scopus 로고    scopus 로고
    • Solving the puzzle of human cooperation
    • Levinson S. (Ed), MIT Press, Cambridge, MA
    • Boyd R., and Richerson P.J. Solving the puzzle of human cooperation. In: Levinson S. (Ed). Evolution and Culture (2005), MIT Press, Cambridge, MA 105-132
    • (2005) Evolution and Culture , pp. 105-132
    • Boyd, R.1    Richerson, P.J.2
  • 11
    • 54049139993 scopus 로고    scopus 로고
    • Pairs of cooperating cleaner fish provide better service quality than singletons
    • Bshary R., Grutter A., Willener A., and Leimar O. Pairs of cooperating cleaner fish provide better service quality than singletons. Nature 455 (2008) 964-967
    • (2008) Nature , vol.455 , pp. 964-967
    • Bshary, R.1    Grutter, A.2    Willener, A.3    Leimar, O.4
  • 12
    • 0019330002 scopus 로고
    • Evolutionarily stable dispersal strategies
    • Comins H.N., Hamilton W.D., and May R.M. Evolutionarily stable dispersal strategies. J. Theor. Biol. 82 (1980) 205-230
    • (1980) J. Theor. Biol. , vol.82 , pp. 205-230
    • Comins, H.N.1    Hamilton, W.D.2    May, R.M.3
  • 15
    • 0032555228 scopus 로고    scopus 로고
    • The evolution of interspecific mutualisms
    • Doebeli M., and Knowlton N. The evolution of interspecific mutualisms. Proc. Natl. Acad. Sci. USA 95 (1998) 8676-8680
    • (1998) Proc. Natl. Acad. Sci. USA , vol.95 , pp. 8676-8680
    • Doebeli, M.1    Knowlton, N.2
  • 17
    • 0028248821 scopus 로고
    • The importance of being discrete (and spatial)
    • Durrett R., and Levin S.A. The importance of being discrete (and spatial). Theor. Popul. Biol. 46 (1994) 363-394
    • (1994) Theor. Popul. Biol. , vol.46 , pp. 363-394
    • Durrett, R.1    Levin, S.A.2
  • 18
    • 0001601690 scopus 로고
    • Learning, local interaction, and coordination
    • Ellison G. Learning, local interaction, and coordination. Econometrica 61 (1993) 1047-1071
    • (1993) Econometrica , vol.61 , pp. 1047-1071
    • Ellison, G.1
  • 19
    • 67649963928 scopus 로고    scopus 로고
    • Mathematical Population Genetics
    • Springer, New York
    • Ewens, W.J., 2004. Mathematical Population Genetics, vol. 1. Theoretical Introduction. Springer, New York.
    • (2004) Theoretical Introduction , vol.1
    • Ewens, W.J.1
  • 20
    • 0030470125 scopus 로고    scopus 로고
    • The evolution of cooperation in spatially heterogeneous populations
    • Ferriere R., and Michod R.E. The evolution of cooperation in spatially heterogeneous populations. Am. Nat. 147 (1996) 692-717
    • (1996) Am. Nat. , vol.147 , pp. 692-717
    • Ferriere, R.1    Michod, R.E.2
  • 21
    • 1942483174 scopus 로고    scopus 로고
    • Effects of finite populations on evolutionary stable strategies
    • Whitley D., Goldberg D., Cantu-Paz E., Spector L., Parmee I., and Beyer H.G. (Eds), Morgan-Kaufmann, San Francisco, CA
    • Ficici S.G., and Pollack J.B. Effects of finite populations on evolutionary stable strategies. In: Whitley D., Goldberg D., Cantu-Paz E., Spector L., Parmee I., and Beyer H.G. (Eds). Proceedings of the 2000 Genetic and Evolutionary Computation Conference (2000), Morgan-Kaufmann, San Francisco, CA 927-934
    • (2000) Proceedings of the 2000 Genetic and Evolutionary Computation Conference , pp. 927-934
    • Ficici, S.G.1    Pollack, J.B.2
  • 22
    • 0032557965 scopus 로고    scopus 로고
    • On the instability of evolutionary stable strategies in small populations
    • Fogel G., Andrews P., and Fogel D. On the instability of evolutionary stable strategies in small populations. Ecol. Model. 109 (1998) 283-294
    • (1998) Ecol. Model. , vol.109 , pp. 283-294
    • Fogel, G.1    Andrews, P.2    Fogel, D.3
  • 24
    • 65549115593 scopus 로고    scopus 로고
    • Evolutionary dynamics on graphs: efficient method for weak selection
    • Fu F., Wang L., Nowak M.A., and Hauert C. Evolutionary dynamics on graphs: efficient method for weak selection. Phys. Rev. E 79 (2008) 046707
    • (2008) Phys. Rev. E , vol.79 , pp. 046707
    • Fu, F.1    Wang, L.2    Nowak, M.A.3    Hauert, C.4
  • 26
    • 0033596262 scopus 로고    scopus 로고
    • The evolution of stepping stone dispersal rates
    • Gandon S., and Rousset F. The evolution of stepping stone dispersal rates. Proc. R. Soc. B 266 (1999) 2507-2513
    • (1999) Proc. R. Soc. B , vol.266 , pp. 2507-2513
    • Gandon, S.1    Rousset, F.2
  • 27
    • 0002729243 scopus 로고
    • A geometric view of relatedness
    • Grafen A. A geometric view of relatedness. Oxford Surv. Evol. Biol. 2 (1985) 28-89
    • (1985) Oxford Surv. Evol. Biol. , vol.2 , pp. 28-89
    • Grafen, A.1
  • 28
    • 30444444066 scopus 로고    scopus 로고
    • Optimization of inclusive fitness
    • Grafen A. Optimization of inclusive fitness. J. Theor. Biol. 238 (2006) 541-563
    • (2006) J. Theor. Biol. , vol.238 , pp. 541-563
    • Grafen, A.1
  • 29
    • 0001208065 scopus 로고
    • Dispersal in stable habitats
    • Hamilton W.D., and May R.M. Dispersal in stable habitats. Nature 269 (1977) 578-581
    • (1977) Nature , vol.269 , pp. 578-581
    • Hamilton, W.D.1    May, R.M.2
  • 31
    • 0026268962 scopus 로고
    • Spatial structure and chaos in insect population dynamics
    • Hassell M.P., Comins H.N., and May R.M. Spatial structure and chaos in insect population dynamics. Nature 353 (1991) 255-258
    • (1991) Nature , vol.353 , pp. 255-258
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 32
    • 1942421127 scopus 로고    scopus 로고
    • Spatial structure often inhibits the evolution of cooperation in the snowdrift game
    • Hauert C., and Doebeli M. Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428 (2004) 643-646
    • (2004) Nature , vol.428 , pp. 643-646
    • Hauert, C.1    Doebeli, M.2
  • 33
    • 52149103162 scopus 로고    scopus 로고
    • Migration as a mechanism to promote cooperation
    • Helbing D., and Yu W. Migration as a mechanism to promote cooperation. Adv. Complex Syst. 11 (2008) 641-652
    • (2008) Adv. Complex Syst. , vol.11 , pp. 641-652
    • Helbing, D.1    Yu, W.2
  • 34
    • 0028162148 scopus 로고
    • Collective phenomena in spatially extended evolutionary games
    • Herz A.V.M. Collective phenomena in spatially extended evolutionary games. J. Theor. Biol. 169 (1994) 65-87
    • (1994) J. Theor. Biol. , vol.169 , pp. 65-87
    • Herz, A.V.M.1
  • 35
    • 0033421618 scopus 로고    scopus 로고
    • The spatially dominant equilibrium of a game
    • Hofbauer J. The spatially dominant equilibrium of a game. Ann. Oper. Res. 89 (1999) 233-251
    • (1999) Ann. Oper. Res. , vol.89 , pp. 233-251
    • Hofbauer, J.1
  • 37
    • 0003031673 scopus 로고
    • Adaptive dynamics and evolutionary stability
    • Hofbauer J., and Sigmund K. Adaptive dynamics and evolutionary stability. Appl. Math. Lett. 3 (1990) 75-79
    • (1990) Appl. Math. Lett. , vol.3 , pp. 75-79
    • Hofbauer, J.1    Sigmund, K.2
  • 39
  • 40
    • 0018570440 scopus 로고
    • A note on evolutionary stable strategies and game dynamics
    • Hofbauer J., Schuster P., and Sigmund K. A note on evolutionary stable strategies and game dynamics. J. Theor. Biol. 81 (1979) 609-612
    • (1979) J. Theor. Biol. , vol.81 , pp. 609-612
    • Hofbauer, J.1    Schuster, P.2    Sigmund, K.3
  • 42
    • 84951601383 scopus 로고
    • Travelling waves and dominance of ESS's
    • Hutson V., and Vickers G.T. Travelling waves and dominance of ESS's. J. Math. Biol. 30 (1992) 457-471
    • (1992) J. Math. Biol. , vol.30 , pp. 457-471
    • Hutson, V.1    Vickers, G.T.2
  • 43
    • 67649923507 scopus 로고    scopus 로고
    • Backward and forward traveling waves in evolutionary games
    • Hutson V., and Vickers G.T. Backward and forward traveling waves in evolutionary games. Meth. Appl. Anal. 9 (2002) 159-176
    • (2002) Meth. Appl. Anal. , vol.9 , pp. 159-176
    • Hutson, V.1    Vickers, G.T.2
  • 44
    • 33645974834 scopus 로고    scopus 로고
    • Evolutionary game dynamics in a Wright-Fisher process
    • Imhof L.A., and Nowak M.A. Evolutionary game dynamics in a Wright-Fisher process. J. Math. Biol. 52 (2006) 667-681
    • (2006) J. Math. Biol. , vol.52 , pp. 667-681
    • Imhof, L.A.1    Nowak, M.A.2
  • 45
    • 0002730095 scopus 로고
    • Learning, mutation, and long run equilibria in games
    • Kandori M., Mailath G.J., and Rob R. Learning, mutation, and long run equilibria in games. Econometrica 61 (1993) 29-56
    • (1993) Econometrica , vol.61 , pp. 29-56
    • Kandori, M.1    Mailath, G.J.2    Rob, R.3
  • 46
    • 0037062936 scopus 로고    scopus 로고
    • Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors
    • Kerr B., Riley M.A., Feldman M.W., and Bohannan B.J.M. Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors. Nature 418 (2002) 171-174
    • (2002) Nature , vol.418 , pp. 171-174
    • Kerr, B.1    Riley, M.A.2    Feldman, M.W.3    Bohannan, B.J.M.4
  • 47
    • 0030435842 scopus 로고    scopus 로고
    • Spatial evolutionary game theory: Hawks and Doves revisited
    • Killingback T., and Doebeli M. Spatial evolutionary game theory: Hawks and Doves revisited. Proc. R. Soc. B 263 (1996) 1135-1144
    • (1996) Proc. R. Soc. B , vol.263 , pp. 1135-1144
    • Killingback, T.1    Doebeli, M.2
  • 48
    • 0017301696 scopus 로고
    • Coherent random-walks arising in some genetic models
    • Kingman J.F.C. Coherent random-walks arising in some genetic models. Proc. R. Soc. Lond. Ser. A 351 (1976) 19-31
    • (1976) Proc. R. Soc. Lond. Ser. A , vol.351 , pp. 19-31
    • Kingman, J.F.C.1
  • 49
    • 35448958544 scopus 로고    scopus 로고
    • The evolution of helping and harming on graphs: the return of inclusive fitness effect
    • Lehmann L., Keller L., and Sumpter D.J.T. The evolution of helping and harming on graphs: the return of inclusive fitness effect. J. Evol. Biol. 20 (2007) 2284-2295
    • (2007) J. Evol. Biol. , vol.20 , pp. 2284-2295
    • Lehmann, L.1    Keller, L.2    Sumpter, D.J.T.3
  • 50
    • 34248388067 scopus 로고    scopus 로고
    • The probability of a single mutant in an exchangeable selection model
    • Lessard S., and Ladret V. The probability of a single mutant in an exchangeable selection model. J. Math. Biol. 54 (2007) 721-744
    • (2007) J. Math. Biol. , vol.54 , pp. 721-744
    • Lessard, S.1    Ladret, V.2
  • 51
    • 0016086051 scopus 로고
    • Disturbance, patch formation, and community structure
    • Levin S.A., and Paine R.T. Disturbance, patch formation, and community structure. Proc. Natl. Acad. Sci. USA 71 (1974) 2744-2747
    • (1974) Proc. Natl. Acad. Sci. USA , vol.71 , pp. 2744-2747
    • Levin, S.A.1    Paine, R.T.2
  • 52
    • 12844260210 scopus 로고    scopus 로고
    • Evolutionary dynamics on graphs
    • Lieberman E., Hauert C., and Nowak M.A. Evolutionary dynamics on graphs. Nature 433 (2005) 312-316
    • (2005) Nature , vol.433 , pp. 312-316
    • Lieberman, E.1    Hauert, C.2    Nowak, M.A.3
  • 53
    • 0000102527 scopus 로고
    • Evolutionary dynamics of spatial games
    • Lindgren K., and Nordahl M.G. Evolutionary dynamics of spatial games. Physica D 75 (1994) 292-309
    • (1994) Physica D , vol.75 , pp. 292-309
    • Lindgren, K.1    Nordahl, M.G.2
  • 54
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May R.M., and Leonard W. Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 29 (1975) 243-252
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243-252
    • May, R.M.1    Leonard, W.2
  • 56
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • Maynard Smith J., and Price G.R. The logic of animal conflict. Nature 246 (1973) 15-18
    • (1973) Nature , vol.246 , pp. 15-18
    • Maynard Smith, J.1    Price, G.R.2
  • 57
    • 0033598439 scopus 로고    scopus 로고
    • Incorporating rules for responding into evolutionary games
    • McNamara J., Gasson C., and Houston A. Incorporating rules for responding into evolutionary games. Nature 401 (1999) 368-371
    • (1999) Nature , vol.401 , pp. 368-371
    • McNamara, J.1    Gasson, C.2    Houston, A.3
  • 59
    • 0016602523 scopus 로고
    • Wandering distributions and electrophoretic profile
    • Moran P.A.P. Wandering distributions and electrophoretic profile. Theor. Popul. Biol. 8 (1975) 318-330
    • (1975) Theor. Popul. Biol. , vol.8 , pp. 318-330
    • Moran, P.A.P.1
  • 60
    • 0031556935 scopus 로고    scopus 로고
    • The evolution of cooperation in a lattice-structured population
    • Nakamaru M., Matsuda H., and Iwasa Y. The evolution of cooperation in a lattice-structured population. J. Theor. Biol. 184 (1997) 65-81
    • (1997) J. Theor. Biol. , vol.184 , pp. 65-81
    • Nakamaru, M.1    Matsuda, H.2    Iwasa, Y.3
  • 61
    • 0032494196 scopus 로고    scopus 로고
    • Score dependent fertility model for the evolution of cooperation in a lattice
    • Nakamaru M., Nogami H., and Iwasa Y. Score dependent fertility model for the evolution of cooperation in a lattice. J. Theor. Biol. 194 (1998) 101-124
    • (1998) J. Theor. Biol. , vol.194 , pp. 101-124
    • Nakamaru, M.1    Nogami, H.2    Iwasa, Y.3
  • 62
    • 26444470523 scopus 로고    scopus 로고
    • The evolution of altruism by costly punishment in lattice structured populations: score dependent viability versus score dependent fertility
    • Nakamaru M., and Iwasa Y. The evolution of altruism by costly punishment in lattice structured populations: score dependent viability versus score dependent fertility. Evol. Ecol. Res. 7 (2005) 853-870
    • (2005) Evol. Ecol. Res. , vol.7 , pp. 853-870
    • Nakamaru, M.1    Iwasa, Y.2
  • 63
    • 33646234699 scopus 로고    scopus 로고
    • The coevolution of altruism and punishment: role of the selfish punisher
    • Nakamaru M., and Iwasa Y. The coevolution of altruism and punishment: role of the selfish punisher. J. Theor. Biol. 240 (2006) 475-488
    • (2006) J. Theor. Biol. , vol.240 , pp. 475-488
    • Nakamaru, M.1    Iwasa, Y.2
  • 64
    • 33751169535 scopus 로고    scopus 로고
    • Harvard University Press, Cambridge, MA
    • Nowak M.A. Evolutionary Dynamics (2006), Harvard University Press, Cambridge, MA
    • (2006) Evolutionary Dynamics
    • Nowak, M.A.1
  • 65
    • 33845415805 scopus 로고    scopus 로고
    • Five rules for the evolution of cooperation
    • Nowak M.A. Five rules for the evolution of cooperation. Science 314 (2006) 1560-1563
    • (2006) Science , vol.314 , pp. 1560-1563
    • Nowak, M.A.1
  • 66
    • 0026613691 scopus 로고
    • Evolutionary games and spatial chaos
    • Nowak M.A., and May R.M. Evolutionary games and spatial chaos. Nature 359 (1992) 826-829
    • (1992) Nature , vol.359 , pp. 826-829
    • Nowak, M.A.1    May, R.M.2
  • 68
    • 0028031923 scopus 로고
    • Superinfection and the evolution of parasite virulence
    • Nowak M.A., and May R.M. Superinfection and the evolution of parasite virulence. Proc. R. Soc. B 255 (1994) 81-89
    • (1994) Proc. R. Soc. B , vol.255 , pp. 81-89
    • Nowak, M.A.1    May, R.M.2
  • 69
    • 0000316822 scopus 로고
    • The evolution of stochastic strategies in the prisoner's dilemma
    • Nowak M., and Sigmund K. The evolution of stochastic strategies in the prisoner's dilemma. Acta Appl. Math. 20 (1990) 247-265
    • (1990) Acta Appl. Math. , vol.20 , pp. 247-265
    • Nowak, M.1    Sigmund, K.2
  • 70
    • 0842288340 scopus 로고    scopus 로고
    • Evolutionary dynamics of biological games
    • Nowak M.A., and Sigmund K. Evolutionary dynamics of biological games. Science 303 (2004) 793-799
    • (2004) Science , vol.303 , pp. 793-799
    • Nowak, M.A.1    Sigmund, K.2
  • 71
    • 27644522801 scopus 로고    scopus 로고
    • Evolution of indirect reciprocity
    • Nowak M.A., and Sigmund K. Evolution of indirect reciprocity. Nature 427 (2005) 1291-1298
    • (2005) Nature , vol.427 , pp. 1291-1298
    • Nowak, M.A.1    Sigmund, K.2
  • 74
    • 0037030641 scopus 로고    scopus 로고
    • Computational and evolutionary aspects of language
    • Nowak M.A., Komarova N.L., and Niyogi P. Computational and evolutionary aspects of language. Nature 417 (2002) 611-617
    • (2002) Nature , vol.417 , pp. 611-617
    • Nowak, M.A.1    Komarova, N.L.2    Niyogi, P.3
  • 75
    • 1942517277 scopus 로고    scopus 로고
    • Emergence of cooperation and evolutionary stability in finite populations
    • Nowak M.A., Sasaki A., Taylor C., and Fudenberg D. Emergence of cooperation and evolutionary stability in finite populations. Nature 428 (2004) 646-650
    • (2004) Nature , vol.428 , pp. 646-650
    • Nowak, M.A.1    Sasaki, A.2    Taylor, C.3    Fudenberg, D.4
  • 76
    • 33745317468 scopus 로고    scopus 로고
    • A simple rule for the evolution of cooperation on graphs and social networks
    • Ohtsuki H., Hauert C., Lieberman E., and Nowak M.A. A simple rule for the evolution of cooperation on graphs and social networks. Nature 441 (2006) 502-505
    • (2006) Nature , vol.441 , pp. 502-505
    • Ohtsuki, H.1    Hauert, C.2    Lieberman, E.3    Nowak, M.A.4
  • 77
    • 33748256652 scopus 로고    scopus 로고
    • Evolutionary games on cycles
    • Ohtsuki H., and Nowak M.A. Evolutionary games on cycles. Proc. R. Soc. B 273 (2006) 2249-2256
    • (2006) Proc. R. Soc. B , vol.273 , pp. 2249-2256
    • Ohtsuki, H.1    Nowak, M.A.2
  • 78
    • 34250637549 scopus 로고    scopus 로고
    • Direct reciprocity on graphs
    • Ohtsuki H., and Nowak M.A. Direct reciprocity on graphs. J. Theor. Biol. 247 (2007) 462-470
    • (2007) J. Theor. Biol. , vol.247 , pp. 462-470
    • Ohtsuki, H.1    Nowak, M.A.2
  • 79
    • 41049094933 scopus 로고    scopus 로고
    • Evolutionary stability on graphs
    • Ohtsuki H., and Nowak M.A. Evolutionary stability on graphs. J. Theor. Biol. 251 (2008) 698-707
    • (2008) J. Theor. Biol. , vol.251 , pp. 698-707
    • Ohtsuki, H.1    Nowak, M.A.2
  • 80
    • 34248205765 scopus 로고    scopus 로고
    • Evolutionary graph theory: breaking the symmetry between interaction and replacement
    • Ohtsuki H., Pacheco J., and Nowak M.A. Evolutionary graph theory: breaking the symmetry between interaction and replacement. J. Theor. Biol. 246 (2007) 681-694
    • (2007) J. Theor. Biol. , vol.246 , pp. 681-694
    • Ohtsuki, H.1    Pacheco, J.2    Nowak, M.A.3
  • 82
    • 0000211229 scopus 로고
    • Kinship, reciprocity and synergism in the evolution of social behaviour: a synthetic model
    • Queller D.C. Kinship, reciprocity and synergism in the evolution of social behaviour: a synthetic model. Nature 318 (1985) 366-367
    • (1985) Nature , vol.318 , pp. 366-367
    • Queller, D.C.1
  • 83
    • 0018340895 scopus 로고
    • Evolutionary equilibrium strategies
    • Riley J.G. Evolutionary equilibrium strategies. J. Theor. Biol. 76 (1979) 109-123
    • (1979) J. Theor. Biol. , vol.76 , pp. 109-123
    • Riley, J.G.1
  • 85
    • 0033795207 scopus 로고    scopus 로고
    • A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal
    • Rousset F., and Billiard S. A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 13 (2000) 814-825
    • (2000) J. Evol. Biol. , vol.13 , pp. 814-825
    • Rousset, F.1    Billiard, S.2
  • 87
    • 47049124531 scopus 로고    scopus 로고
    • Social diversity promotes the emergence of cooperation in public goods games
    • Santos F.C., Santos M.D., and Pacheco J.M. Social diversity promotes the emergence of cooperation in public goods games. Nature 454 (2008) 213-216
    • (2008) Nature , vol.454 , pp. 213-216
    • Santos, F.C.1    Santos, M.D.2    Pacheco, J.M.3
  • 88
    • 0023824256 scopus 로고
    • Evolutionarily stable strategies for a finite population and variable contest size
    • Schaffer M. Evolutionarily stable strategies for a finite population and variable contest size. J. Theor. Biol. 132 (1988) 469-478
    • (1988) J. Theor. Biol. , vol.132 , pp. 469-478
    • Schaffer, M.1
  • 89
    • 0019863813 scopus 로고
    • Kinship and covariance
    • Seger J. Kinship and covariance. J. Theor. Biol. 91 (1981) 191-213
    • (1981) J. Theor. Biol. , vol.91 , pp. 191-213
    • Seger, J.1
  • 90
    • 0034229832 scopus 로고    scopus 로고
    • Spatial evolutionary prisoner's dilemma game with three strategies and external constraints
    • Szabó G., Antal T., Szabó P., and Droz M. Spatial evolutionary prisoner's dilemma game with three strategies and external constraints. Phys. Rev. E 62 (2000) 1095-1103
    • (2000) Phys. Rev. E , vol.62 , pp. 1095-1103
    • Szabó, G.1    Antal, T.2    Szabó, P.3    Droz, M.4
  • 91
    • 34250617077 scopus 로고    scopus 로고
    • Evolutionary games on graphs
    • Szabó G., and Fath G. Evolutionary games on graphs. Phys. Rep. 446 (2007) 97-216
    • (2007) Phys. Rep. , vol.446 , pp. 97-216
    • Szabó, G.1    Fath, G.2
  • 92
    • 0002180201 scopus 로고    scopus 로고
    • Evolutionary prisoner's dilemma game on a square lattice
    • Szabó G., and To{combining double acute accent}ke C. Evolutionary prisoner's dilemma game on a square lattice. Phys. Rev. E 58 (1998) 69-73
    • (1998) Phys. Rev. E , vol.58 , pp. 69-73
    • Szabó, G.1    Toke, C.2
  • 94
    • 34848881582 scopus 로고    scopus 로고
    • Transforming the dilemma
    • Taylor C., and Nowak M.A. Transforming the dilemma. Evolution 61 (2007) 2281-2292
    • (2007) Evolution , vol.61 , pp. 2281-2292
    • Taylor, C.1    Nowak, M.A.2
  • 96
    • 0027019853 scopus 로고
    • Inclusive fitness in a homogeneous environment
    • Taylor P.D. Inclusive fitness in a homogeneous environment. Proc. R. Soc. B 249 (1992) 299-302
    • (1992) Proc. R. Soc. B , vol.249 , pp. 299-302
    • Taylor, P.D.1
  • 97
    • 0029948439 scopus 로고    scopus 로고
    • How to make a kin selection argument
    • Taylor P.D., and Frank S. How to make a kin selection argument. J. Theor. Biol. 180 (1996) 27-37
    • (1996) J. Theor. Biol. , vol.180 , pp. 27-37
    • Taylor, P.D.1    Frank, S.2
  • 98
    • 0017819644 scopus 로고
    • Evolutionary stable strategies and game dynamics
    • Taylor P.D., and Jonker L.B. Evolutionary stable strategies and game dynamics. Math. Biosci. 40 (1978) 145-156
    • (1978) Math. Biosci. , vol.40 , pp. 145-156
    • Taylor, P.D.1    Jonker, L.B.2
  • 99
    • 0003280294 scopus 로고    scopus 로고
    • Inclusive fitness in finite deme-structured and stepping-stone populations
    • Taylor P.D., Irwin A., and Day T. Inclusive fitness in finite deme-structured and stepping-stone populations. Selection 1 (2000) 83-93
    • (2000) Selection , vol.1 , pp. 83-93
    • Taylor, P.D.1    Irwin, A.2    Day, T.3
  • 100
    • 34249340864 scopus 로고    scopus 로고
    • Evolution of cooperation in a finite homogeneous graph
    • Taylor P.D., Day T., and Wild G. Evolution of cooperation in a finite homogeneous graph. Nature 447 (2007) 469-472
    • (2007) Nature , vol.447 , pp. 469-472
    • Taylor, P.D.1    Day, T.2    Wild, G.3
  • 101
    • 35148883328 scopus 로고    scopus 로고
    • From inclusive fitness to fixation probability in homogeneous structured populations
    • Taylor P.D., Day T., and Wild G. From inclusive fitness to fixation probability in homogeneous structured populations. J. Theor. Biol. 249 (2007) 101-110
    • (2007) J. Theor. Biol. , vol.249 , pp. 101-110
    • Taylor, P.D.1    Day, T.2    Wild, G.3
  • 102
    • 33746879176 scopus 로고    scopus 로고
    • Stochasticity and evolutionary stability
    • Traulsen A., Pacheco J.M., and Imhof L. Stochasticity and evolutionary stability. Phys. Rev. E 74 (2006) 021905
    • (2006) Phys. Rev. E , vol.74 , pp. 021905
    • Traulsen, A.1    Pacheco, J.M.2    Imhof, L.3
  • 103
    • 47349091828 scopus 로고    scopus 로고
    • Analytical results for individual and group selection of any intensity
    • Traulsen A., Shoresh N., and Nowak M.A. Analytical results for individual and group selection of any intensity. Bull. Math. Biol. 70 (2008) 1410-1424
    • (2008) Bull. Math. Biol. , vol.70 , pp. 1410-1424
    • Traulsen, A.1    Shoresh, N.2    Nowak, M.A.3
  • 104
    • 0002414229 scopus 로고
    • The evolution of reciprocal altruism
    • Trivers R.L. The evolution of reciprocal altruism. Q. Rev. Biol. 46 (1971) 35-57
    • (1971) Q. Rev. Biol. , vol.46 , pp. 35-57
    • Trivers, R.L.1
  • 105
    • 0033119814 scopus 로고    scopus 로고
    • Prisoner's dilemma in an RNA virus
    • Turner P.E., and Chao L. Prisoner's dilemma in an RNA virus. Nature 398 (1999) 441-443
    • (1999) Nature , vol.398 , pp. 441-443
    • Turner, P.E.1    Chao, L.2
  • 106
    • 0032555409 scopus 로고    scopus 로고
    • The unit of selection in viscous populations and the evolution of altruism
    • van Baalen M., and Rand D.A. The unit of selection in viscous populations and the evolution of altruism. J. Theor. Biol. 193 (1998) 631-648
    • (1998) J. Theor. Biol. , vol.193 , pp. 631-648
    • van Baalen, M.1    Rand, D.A.2
  • 108
    • 34249789300 scopus 로고    scopus 로고
    • The different limits of weak selection and the evolutionary dynamics of finite populations
    • Wild G., and Traulsen A. The different limits of weak selection and the evolutionary dynamics of finite populations. J. Theor. Biol. 247 (2007) 382-390
    • (2007) J. Theor. Biol. , vol.247 , pp. 382-390
    • Wild, G.1    Traulsen, A.2


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