메뉴 건너뛰기




Volumn 258, Issue 4, 2009, Pages 614-622

Mutation-selection equilibrium in games with multiple strategies

Author keywords

Evolutionary game theory; Finite populations; Stochastic effects

Indexed keywords

EQUILIBRIUM; EVOLUTIONARY THEORY; GAME THEORY; MUTATION; SELECTION; STOCHASTICITY;

EID: 67349230821     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.02.010     Document Type: Article
Times cited : (128)

References (55)
  • 1
    • 60449093877 scopus 로고    scopus 로고
    • Strategy abundance in 2 × 2 games for arbitrary mutation rates
    • Antal, T., Nowak, M.A., Traulsen, A., 2009. 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
  • 2
    • 67349272961 scopus 로고    scopus 로고
    • Antal, T., Ohtsuki, H., Wakeley, J., Taylor, P.D., Nowak M.A., 2008. Evolutionary game dynamics in phenotype space. e-print arXiv:0806.2636.
    • Antal, T., Ohtsuki, H., Wakeley, J., Taylor, P.D., Nowak M.A., 2008. Evolutionary game dynamics in phenotype space. e-print arXiv:0806.2636.
  • 3
    • 33750734680 scopus 로고    scopus 로고
    • Fixation of strategies for an evolutionary game in finite populations
    • Antal T., and Scheuring I. Fixation of strategies for an evolutionary game in finite populations. Bull. Math. Biol. 68 (2006) 1923-1944
    • (2006) Bull. Math. Biol. , vol.68 , pp. 1923-1944
    • Antal, T.1    Scheuring, I.2
  • 6
    • 0028589802 scopus 로고
    • Mutation and the evolution of parasite virulence
    • Bonhoeffer S., and Nowak M.A. Mutation and the evolution of parasite virulence. Proc. R. Soc. London B 258 (1995) 133-140
    • (1995) Proc. R. Soc. London B , vol.258 , pp. 133-140
    • Bonhoeffer, S.1    Nowak, M.A.2
  • 7
    • 0346231340 scopus 로고
    • The stability concept of evolutionary game theory
    • Cressman, R., 1992. The stability concept of evolutionary game theory. In: Lecture Notes in Biomathematics, vol. 94.
    • (1992) Lecture Notes in Biomathematics , vol.94
    • Cressman, R.1
  • 8
    • 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
    • Ficici S., and Pollack J. 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 GECCO (2000), Morgan Kaufmann, San Francisco 927-934
    • (2000) Proceedings GECCO , pp. 927-934
    • Ficici, S.1    Pollack, J.2
  • 9
    • 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
  • 10
    • 33750031286 scopus 로고    scopus 로고
    • Imitation processes with small mutations
    • Fudenberg D., and Imhof L.A. Imitation processes with small mutations. J. Econ. Theor. 131 (2006) 251-262
    • (2006) J. Econ. Theor. , vol.131 , pp. 251-262
    • Fudenberg, D.1    Imhof, L.A.2
  • 13
    • 0037052461 scopus 로고    scopus 로고
    • Volunteering as Red Queen Mechanism for cooperation in public goods game
    • Hauert Ch., De Monte S., Hofbauer J., and Sigmund K. Volunteering as Red Queen Mechanism for cooperation in public goods game. Science 296 (2002) 1129-1132
    • (2002) Science , vol.296 , pp. 1129-1132
    • Hauert, Ch.1    De Monte, S.2    Hofbauer, J.3    Sigmund, K.4
  • 16
    • 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
  • 17
    • 23344447663 scopus 로고    scopus 로고
    • Evolutionary cycles of cooperation and defection
    • Imhof L.A., Fudenberg D., and Nowak M.A. Evolutionary cycles of cooperation and defection. PNAS 102 (2005) 10797-10800
    • (2005) PNAS , vol.102 , pp. 10797-10800
    • Imhof, L.A.1    Fudenberg, D.2    Nowak, M.A.3
  • 18
    • 0346935880 scopus 로고
    • Evolution of equilibria in the long run: a general theory and applications
    • Kandori M., and Rob R. Evolution of equilibria in the long run: a general theory and applications. J. Econ. Theor. 65 (1995) 383-414
    • (1995) J. Econ. Theor. , vol.65 , pp. 383-414
    • Kandori, M.1    Rob, R.2
  • 19
    • 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
  • 20
    • 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
  • 22
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • Kingman J.F.C. On the genealogy of large populations. J. Appl. Probab. 19A (1982) 27-43
    • (1982) J. Appl. Probab. , vol.19 A , pp. 27-43
    • Kingman, J.F.C.1
  • 23
    • 0034530345 scopus 로고    scopus 로고
    • Origins of the coalescent. 1974-1982
    • Kingman J.F.C. Origins of the coalescent. 1974-1982. Genetics 156 4 (2000) 1461-1463
    • (2000) Genetics , vol.156 , Issue.4 , pp. 1461-1463
    • Kingman, J.F.C.1
  • 24
    • 34248388067 scopus 로고    scopus 로고
    • The probability of fixation of a single mutant in an exchangeable selection model
    • Lessard S., and Ladret V. The probability of fixation 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
  • 26
    • 0029126910 scopus 로고
    • Coinfection and the evolution of parasite virulence
    • May R.M., and Nowak M.A. Coinfection and the evolution of parasite virulence. Proc. R. Soc. London B 261 (1995) 209-215
    • (1995) Proc. R. Soc. London B , vol.261 , pp. 209-215
    • May, R.M.1    Nowak, M.A.2
  • 27
    • 0016295808 scopus 로고
    • The theory of games and the evolution of animal conflicts
    • Maynard Smith J. The theory of games and the evolution of animal conflicts. J. Theor. Biol. 47 (1974) 209-221
    • (1974) J. Theor. Biol. , vol.47 , pp. 209-221
    • Maynard Smith, J.1
  • 29
    • 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
  • 30
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • Nash J.F. Equilibrium points in n-person games. PNAS 36 (1950) 48-49
    • (1950) PNAS , vol.36 , pp. 48-49
    • Nash, J.F.1
  • 31
    • 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
  • 33
    • 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. London B 255 (1994) 81-89
    • (1994) Proc. R. Soc. London B , vol.255 , pp. 81-89
    • Nowak, M.A.1    May, R.M.2
  • 34
    • 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
  • 35
    • 38249022971 scopus 로고
    • Game-dynamical aspects of the prisoner's dilemma
    • Nowak M.A., and Sigmund K. Game-dynamical aspects of the prisoner's dilemma. Appl. Math. Comput. 30 (1989) 191-213
    • (1989) Appl. Math. Comput. , vol.30 , pp. 191-213
    • Nowak, M.A.1    Sigmund, K.2
  • 36
    • 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
  • 37
    • 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
  • 40
    • 0023824256 scopus 로고
    • Evolutionary stable strategies for a finite population and variable contest size
    • Schaffer M. Evolutionary 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
  • 42
    • 0035707370 scopus 로고    scopus 로고
    • Urn models, replicator processes, and random genetic drift
    • Schreiber S. Urn models, replicator processes, and random genetic drift. Siam J. Appl. Math. 61 (2001) 2148-2167
    • (2001) Siam J. Appl. Math. , vol.61 , pp. 2148-2167
    • Schreiber, S.1
  • 43
    • 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
    • (1998) Phys. Rev. E , vol.58 , pp. 69
    • Szabó, G.1    Toke, C.2
  • 45
    • 0017819644 scopus 로고
    • Evolutionary stable strategies and game dynamics
    • Taylor P.D., and Jonker L. 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.2
  • 46
    • 28844506643 scopus 로고    scopus 로고
    • Coevolutionary dynamics: from finite to infinite populations
    • Traulsen A., Claussen J.C., and Hauert C. Coevolutionary dynamics: from finite to infinite populations. Phys. Rev. Lett. 95 (2005) 238701
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 238701
    • Traulsen, A.1    Claussen, J.C.2    Hauert, C.3
  • 47
    • 33746227636 scopus 로고    scopus 로고
    • Stochastic dynamics of invasion and fixation
    • Traulsen A., Nowak M.A., and Pacheco J.M. Stochastic dynamics of invasion and fixation. Phys. Rev. E 74 (2006) 011909
    • (2006) Phys. Rev. E , vol.74 , pp. 011909
    • Traulsen, A.1    Nowak, M.A.2    Pacheco, J.M.3
  • 48
    • 33847770682 scopus 로고    scopus 로고
    • Pairwise comparison and selection temperature in evolutionary game dynamics
    • Traulsen A., Pacheco J.M., and Nowak M.A. Pairwise comparison and selection temperature in evolutionary game dynamics. J. Theor. Biol. 246 (2007) 522-529
    • (2007) J. Theor. Biol. , vol.246 , pp. 522-529
    • Traulsen, A.1    Pacheco, J.M.2    Nowak, M.A.3
  • 50
    • 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
  • 51
    • 0037350688 scopus 로고    scopus 로고
    • Escape from prisoner's dilemma in RNA phage φ 6
    • Turner P.E., and Chao L. Escape from prisoner's dilemma in RNA phage φ 6. Am. Nat. 161 (2003) 497-505
    • (2003) Am. Nat. , vol.161 , pp. 497-505
    • Turner, P.E.1    Chao, L.2
  • 53
    • 33947673770 scopus 로고    scopus 로고
    • Roberts & Company Publishers, Greenwood Village, Colorado
    • Wakeley, J., 2008. Coalescent Theory: An Introduction. Roberts & Company Publishers, Greenwood Village, Colorado.
    • (2008) Coalescent Theory: An Introduction
    • Wakeley, J.1
  • 55
    • 16644398456 scopus 로고    scopus 로고
    • Fitness and evolutionary stability in game theoretic models of finite populations
    • Wild G., and Taylor P.D. Fitness and evolutionary stability in game theoretic models of finite populations. Proc. R. Soc. London B 271 (2004) 2345-2349
    • (2004) Proc. R. Soc. London B , vol.271 , pp. 2345-2349
    • Wild, G.1    Taylor, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.