메뉴 건너뛰기




Volumn 6, Issue 4, 2009, Pages 208-249

Evolutionary game theory: Temporal and spatial effects beyond replicator dynamics

Author keywords

Emergence of cooperation; Evolutionary games; Fluctuations; Mean field; Network reciprocity; Replicator dynamics; Spatial structure

Indexed keywords

EMERGENCE OF COOPERATION; EVOLUTIONARY GAMES; FLUCTUATIONS; MEAN-FIELD; NETWORK RECIPROCITY; REPLICATOR DYNAMICS; SPATIAL STRUCTURE;

EID: 70350566803     PISSN: 15710645     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.plrev.2009.08.001     Document Type: Review
Times cited : (708)

References (155)
  • 3
    • 0039787433 scopus 로고    scopus 로고
    • Fitness landscapes and evolution
    • Riste T., and Sherrington D. (Eds), Kluwer Academic, Dordrecht
    • Peliti L. Fitness landscapes and evolution. In: Riste T., and Sherrington D. (Eds). Physics of biomaterials: Fluctuations, self-assembly and evolution (1996), Kluwer Academic, Dordrecht 287-308
    • (1996) Physics of biomaterials: Fluctuations, self-assembly and evolution , pp. 287-308
    • Peliti, L.1
  • 4
    • 0035296743 scopus 로고    scopus 로고
    • Biological evolution and statistical physics
    • Drossel B. Biological evolution and statistical physics. Adv Phys 50 (2001) 209-295
    • (2001) Adv Phys , vol.50 , pp. 209-295
    • Drossel, B.1
  • 7
    • 0020402387 scopus 로고
    • Exaptation - a missing term in the science of form
    • Gould S.J., and Vrba E.S. Exaptation - a missing term in the science of form. Paleobiology 8 (1982) 4-15
    • (1982) Paleobiology , vol.8 , pp. 4-15
    • Gould, S.J.1    Vrba, E.S.2
  • 9
    • 0003860985 scopus 로고    scopus 로고
    • Princeton University Press, Princeton
    • Gintis H. Game theory evolving (2000), Princeton University Press, Princeton
    • (2000) Game theory evolving
    • Gintis, H.1
  • 12
    • 0017819644 scopus 로고
    • Evolutionarily stable strategies and game dynamics
    • Taylor P.D., and Jonker L. Evolutionarily 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
  • 13
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • Nash J. Equilibrium points in n-person games. Proc Natl Acad Sci USA 36 (1950) 48-49
    • (1950) Proc Natl Acad Sci USA , vol.36 , pp. 48-49
    • Nash, J.1
  • 14
    • 21644449402 scopus 로고    scopus 로고
    • How did cooperative behavior evolve?
    • Pennisi E. How did cooperative behavior evolve?. Science 309 (2005) 93
    • (2005) Science , vol.309 , pp. 93
    • Pennisi, E.1
  • 15
    • 0013770258 scopus 로고
    • The genetical evolution of social behaviour I
    • Hamilton W.D. The genetical evolution of social behaviour I. J Theor Biol 7 (1964) 1-16
    • (1964) J Theor Biol , vol.7 , pp. 1-16
    • Hamilton, W.D.1
  • 16
    • 0013770278 scopus 로고
    • The genetical evolution of social behaviour II
    • Hamilton W.D. The genetical evolution of social behaviour II. J Theor Biol 7 (1964) 17-52
    • (1964) J Theor Biol , vol.7 , pp. 17-52
    • Hamilton, W.D.1
  • 17
    • 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
  • 19
    • 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
  • 20
    • 34250617077 scopus 로고    scopus 로고
    • Evolutionary games on graphs
    • Szabó G., and Fáth G. Evolutionary games on graphs. Phys Rep 446 (2007) 97-216
    • (2007) Phys Rep , vol.446 , pp. 97-216
    • Szabó, G.1    Fáth, G.2
  • 21
    • 0141680332 scopus 로고    scopus 로고
    • Evolutionary game dynamics
    • Hofbauer J., and Sigmund K. Evolutionary game dynamics. Bull Am Math Soc 40 (2003) 479-519
    • (2003) Bull Am Math Soc , vol.40 , pp. 479-519
    • Hofbauer, J.1    Sigmund, K.2
  • 24
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • Maynard Smith J., and Price G. The logic of animal conflict. Nature 246 (1973) 15-18
    • (1973) Nature , vol.246 , pp. 15-18
    • Maynard Smith, J.1    Price, G.2
  • 26
  • 27
    • 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
  • 28
    • 37649026787 scopus 로고    scopus 로고
    • Non-Gaussian fluctuations arising from finite populations: Exact results for the evolutionary moran process
    • Claussen J.C., and Traulsen A. Non-Gaussian fluctuations arising from finite populations: Exact results for the evolutionary moran process. Phys Rev E 71 (2005) 25101
    • (2005) Phys Rev E , vol.71 , pp. 25101
    • Claussen, J.C.1    Traulsen, A.2
  • 29
    • 33749001726 scopus 로고    scopus 로고
    • Coevolutionary dynamics in large, but finite populations
    • Traulsen A., Claussen J.C., and Hauert C. Coevolutionary dynamics in large, but finite populations. Phys Rev E 74 (2006) 011901
    • (2006) Phys Rev E , vol.74 , pp. 011901
    • Traulsen, A.1    Claussen, J.C.2    Hauert, C.3
  • 30
    • 70350571901 scopus 로고    scopus 로고
    • Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations
    • Claussen J.C. Discrete stochastic processes, replicator and Fokker-Planck equations of coevolutionary dynamics in finite and infinite populations. Banach Center Publications 80 (2008) 17-31
    • (2008) Banach Center Publications , vol.80 , pp. 17-31
    • Claussen, J.C.1
  • 31
    • 0030679610 scopus 로고    scopus 로고
    • On the instability of evolutionary stable strategies
    • Fogel D.B., Fogel G.B., and Andrews P.C. On the instability of evolutionary stable strategies. Biosystems 44 (1997) 135-152
    • (1997) Biosystems , vol.44 , pp. 135-152
    • Fogel, D.B.1    Fogel, G.B.2    Andrews, P.C.3
  • 32
    • 0032557965 scopus 로고    scopus 로고
    • On the instability of evolutionary stable strategies in small populations
    • Fogel G.B., Andrews P.C., and Fogel D.B. On the instability of evolutionary stable strategies in small populations. Ecol Modelling 109 (1998) 283-294
    • (1998) Ecol Modelling , vol.109 , pp. 283-294
    • Fogel, G.B.1    Andrews, P.C.2    Fogel, D.B.3
  • 33
    • 0036426078 scopus 로고    scopus 로고
    • Unifying evolutionary dynamics
    • Page K.M., and Nowak M.A. Unifying evolutionary dynamics. J Theor Biol 219 (2002) 93-98
    • (2002) J Theor Biol , vol.219 , pp. 93-98
    • Page, K.M.1    Nowak, M.A.2
  • 34
    • 0014830535 scopus 로고
    • Selection and covariance?
    • Price G.R. Selection and covariance?. Nature 227 (1970) 520-521
    • (1970) Nature , vol.227 , pp. 520-521
    • Price, G.R.1
  • 35
    • 0029023813 scopus 로고
    • George Price's contributions to evolutionary genetics
    • Frank S.A. George Price's contributions to evolutionary genetics. J Theor Biol 175 (1995) 373-388
    • (1995) J Theor Biol , vol.175 , pp. 373-388
    • Frank, S.A.1
  • 36
    • 1542710569 scopus 로고    scopus 로고
    • Social dilemmas: The anatomy of cooperation
    • Kollock P. Social dilemmas: The anatomy of cooperation. Annu Rev Sociol 24 (1998) 183-214
    • (1998) Annu Rev Sociol , vol.24 , pp. 183-214
    • Kollock, P.1
  • 38
    • 0033427707 scopus 로고    scopus 로고
    • Perspective: The pace of modern life: Measuring rates of contemporary microevolution
    • Hendry A.P., and Kinnison M.T. Perspective: The pace of modern life: Measuring rates of contemporary microevolution. Evolution 53 (1999) 1637-1653
    • (1999) Evolution , vol.53 , pp. 1637-1653
    • Hendry, A.P.1    Kinnison, M.T.2
  • 39
    • 0033766238 scopus 로고    scopus 로고
    • Rapid evolution of reproductive isolation in the wild: Evidence from introduced salmon
    • Hendry A.P., Wenburg J.K., Bentzen P., Volk E.C., and Quinn T.P. Rapid evolution of reproductive isolation in the wild: Evidence from introduced salmon. Science 290 (2000) 516-518
    • (2000) Science , vol.290 , pp. 516-518
    • Hendry, A.P.1    Wenburg, J.K.2    Bentzen, P.3    Volk, E.C.4    Quinn, T.P.5
  • 41
    • 0042619481 scopus 로고
    • When doves conspire: Evolution of non-damaging fighting tactics in a non-random encounter animal conflict model
    • Fagen R.M. When doves conspire: Evolution of non-damaging fighting tactics in a non-random encounter animal conflict model. Am Nat 115 (1980) 858-869
    • (1980) Am Nat , vol.115 , pp. 858-869
    • Fagen, R.M.1
  • 44
    • 0037076357 scopus 로고    scopus 로고
    • Learning dynamics in social dilemmas
    • Macy M.W., and Flache A. Learning dynamics in social dilemmas. Proc Natl Acad Sci USA 99 (2002) 7229-7236
    • (2002) Proc Natl Acad Sci USA , vol.99 , pp. 7229-7236
    • Macy, M.W.1    Flache, A.2
  • 45
    • 0002730095 scopus 로고
    • Learning, mutation and long-run equilibria in games
    • Kandori M., Mailath G.J., and Roy 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    Roy, R.3
  • 46
    • 0001294377 scopus 로고
    • Stochastic evolutionary game dynamics
    • Foster D., and Young P.H. Stochastic evolutionary game dynamics. Theor Popul Biol 38 (1990) 219-232
    • (1990) Theor Popul Biol , vol.38 , pp. 219-232
    • Foster, D.1    Young, P.H.2
  • 47
    • 0030194779 scopus 로고    scopus 로고
    • Efficient equilibrium selection in evolutionary games with random matching
    • Robson A.J., and Vega-Redondo F. Efficient equilibrium selection in evolutionary games with random matching. J Econ Theory 70 (1996) 65-92
    • (1996) J Econ Theory , vol.70 , pp. 65-92
    • Robson, A.J.1    Vega-Redondo, F.2
  • 48
    • 6344294217 scopus 로고    scopus 로고
    • Equilibrium selection in evolutionary games with random matching of players
    • Miekisz J. Equilibrium selection in evolutionary games with random matching of players. J Theor Biol 232 (2005) 47-53
    • (2005) J Theor Biol , vol.232 , pp. 47-53
    • Miekisz, J.1
  • 49
    • 62549161280 scopus 로고    scopus 로고
    • Stochastic sampling of interaction partners versus deterministic payoff assignment
    • Wölfing B., and Traulsen A. Stochastic sampling of interaction partners versus deterministic payoff assignment. J Theor Biol 257 (2009) 689-695
    • (2009) J Theor Biol , vol.257 , pp. 689-695
    • Wölfing, B.1    Traulsen, A.2
  • 50
    • 38249007930 scopus 로고
    • Laws of large numbers for dynamical systems with randomly matched individuals
    • Boylan R.T. Laws of large numbers for dynamical systems with randomly matched individuals. J Econ Theory 57 (1992) 473-504
    • (1992) J Econ Theory , vol.57 , pp. 473-504
    • Boylan, R.T.1
  • 51
    • 0010970766 scopus 로고
    • Continuous approximation of dynamical systems with randomly matched individuals
    • Boylan R.T. Continuous approximation of dynamical systems with randomly matched individuals. J Econ Theory 66 (1995) 615-625
    • (1995) J Econ Theory , vol.66 , pp. 615-625
    • Boylan, R.T.1
  • 52
    • 0042880481 scopus 로고    scopus 로고
    • Games commissions play: 2 × 2 games of international securities regulation
    • Licht A.N. Games commissions play: 2 × 2 games of international securities regulation. Yale J Int Law 24 (1999) 61-125
    • (1999) Yale J Int Law , vol.24 , pp. 61-125
    • Licht, A.N.1
  • 53
  • 55
    • 0032507958 scopus 로고    scopus 로고
    • Evolution of indirect reciprocity by image scoring
    • Nowak M.A., and Sigmund K. Evolution of indirect reciprocity by image scoring. Nature 393 (1998) 573-577
    • (1998) Nature , vol.393 , pp. 573-577
    • Nowak, M.A.1    Sigmund, K.2
  • 57
    • 0242268535 scopus 로고    scopus 로고
    • The nature of human altruism
    • Fehr E., and Fischbacher U. The nature of human altruism. Nature 425 (2003) 785-791
    • (2003) Nature , vol.425 , pp. 785-791
    • Fehr, E.1    Fischbacher, U.2
  • 58
    • 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
  • 60
    • 0034699562 scopus 로고    scopus 로고
    • Strong reciprocity and human sociality
    • Gintis H. Strong reciprocity and human sociality. J Theor Biol 206 (2000) 169-179
    • (2000) J Theor Biol , vol.206 , pp. 169-179
    • Gintis, H.1
  • 61
    • 0036328914 scopus 로고    scopus 로고
    • Strong reciprocity, human cooperation and the enforcement of social norms
    • Fehr E., Fischbacher U., and Gächter S. Strong reciprocity, human cooperation and the enforcement of social norms. Hum Nat 13 (2002) 1-25
    • (2002) Hum Nat , vol.13 , pp. 1-25
    • Fehr, E.1    Fischbacher, U.2    Gächter, S.3
  • 62
    • 0035925394 scopus 로고    scopus 로고
    • A generalized adaptive dynamics framework can describe the evolutionary Ultimatum game
    • Page K., and Nowak M. A generalized adaptive dynamics framework can describe the evolutionary Ultimatum game. J Theor Biol 209 (2000) 173-179
    • (2000) J Theor Biol , vol.209 , pp. 173-179
    • Page, K.1    Nowak, M.2
  • 63
    • 0036852461 scopus 로고    scopus 로고
    • Empathy leads to fairness
    • Page K., and Nowak M. Empathy leads to fairness. Bull Math Biol 64 (2002) 1101-1116
    • (2002) Bull Math Biol , vol.64 , pp. 1101-1116
    • Page, K.1    Nowak, M.2
  • 64
    • 18044370639 scopus 로고    scopus 로고
    • Altruism may arise from individual selection
    • Sánchez A., and Cuesta J.A. Altruism may arise from individual selection. J Theor Biol 235 (2005) 233-240
    • (2005) J Theor Biol , vol.235 , pp. 233-240
    • Sánchez, A.1    Cuesta, J.A.2
  • 65
  • 66
    • 34249067039 scopus 로고    scopus 로고
    • The importance of selection rate in the evolution of cooperation
    • Roca C.P., Cuesta J.A., and Sánchez A. The importance of selection rate in the evolution of cooperation. Eur Phys J Special Topics 143 (2007) 51-58
    • (2007) Eur Phys J Special Topics , vol.143 , pp. 51-58
    • Roca, C.P.1    Cuesta, J.A.2    Sánchez, A.3
  • 68
  • 71
    • 0000043598 scopus 로고
    • A taxonomy of 2 × 2 games
    • Rapoport A., and Guyer M. A taxonomy of 2 × 2 games. General Systems 11 (1966) 203-214
    • (1966) General Systems , vol.11 , pp. 203-214
    • Rapoport, A.1    Guyer, M.2
  • 72
    • 33751168457 scopus 로고    scopus 로고
    • Stochastic payoff evaluation increases the temperature of selection
    • Traulsen A., Nowak M.A., and Pacheco J.M. Stochastic payoff evaluation increases the temperature of selection. J Theor Biol 244 (2007) 349-356
    • (2007) J Theor Biol , vol.244 , pp. 349-356
    • Traulsen, A.1    Nowak, M.A.2    Pacheco, J.M.3
  • 73
    • 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
  • 74
    • 0036658354 scopus 로고    scopus 로고
    • Effects of space in 2 × 2 games
    • Hauert C. Effects of space in 2 × 2 games. Int J Bifurc Chaos 12 (2002) 1531-1548
    • (2002) Int J Bifurc Chaos , vol.12 , pp. 1531-1548
    • Hauert, C.1
  • 75
    • 33644751686 scopus 로고    scopus 로고
    • Evolutionary dynamics of social dilemmas in structured heterogeneous populations
    • Santos F.C., Pacheco J.M., and Lenaerts T. Evolutionary dynamics of social dilemmas in structured heterogeneous populations. Proc Natl Acad Sci USA 103 (2006) 3490-3494
    • (2006) Proc Natl Acad Sci USA , vol.103 , pp. 3490-3494
    • Santos, F.C.1    Pacheco, J.M.2    Lenaerts, T.3
  • 76
    • 44849126796 scopus 로고    scopus 로고
    • Mesoscopic structure conditions the emergence of cooperation on social networks
    • Lozano S., Arenas A., and Sánchez A. Mesoscopic structure conditions the emergence of cooperation on social networks. PLoS ONE 3 (2008) e1892
    • (2008) PLoS ONE , vol.3
    • Lozano, S.1    Arenas, A.2    Sánchez, A.3
  • 77
  • 78
    • 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
  • 79
    • 0028870777 scopus 로고
    • The spatial struggle of tit-for-tat and defect
    • Hutson V., and Vickers G. The spatial struggle of tit-for-tat and defect. Phil Trans R Soc Lond B 348 (1995) 393-404
    • (1995) Phil Trans R Soc Lond B , vol.348 , pp. 393-404
    • Hutson, V.1    Vickers, G.2
  • 80
    • 0030070545 scopus 로고    scopus 로고
    • Spatialization and greater generosity in the stochastic prisoner's dilemma
    • Grim P. Spatialization and greater generosity in the stochastic prisoner's dilemma. Biosystems 37 (1996) 3-17
    • (1996) Biosystems , vol.37 , pp. 3-17
    • Grim, P.1
  • 81
    • 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
  • 82
    • 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
  • 83
    • 0033592628 scopus 로고    scopus 로고
    • Evolution of cooperation in spatially structured populations
    • Brauchli K., Killingback T., and Doebeli M. Evolution of cooperation in spatially structured populations. J Theor Biol 200 (1999) 405-417
    • (1999) J Theor Biol , vol.200 , pp. 405-417
    • Brauchli, K.1    Killingback, T.2    Doebeli, M.3
  • 84
    • 0035276787 scopus 로고    scopus 로고
    • Social games in a social network
    • Abramson G., and Kuperman M. Social games in a social network. Phys Rev E 63 (2001) 030901R
    • (2001) Phys Rev E , vol.63
    • Abramson, G.1    Kuperman, M.2
  • 85
    • 0035530718 scopus 로고    scopus 로고
    • The role of social structure in the maintenance of cooperative regimes
    • Cohen M.D., Riolo R.L., and Axelrod R. The role of social structure in the maintenance of cooperative regimes. Rationality and Society 13 (2001) 5-32
    • (2001) Rationality and Society , vol.13 , pp. 5-32
    • Cohen, M.D.1    Riolo, R.L.2    Axelrod, R.3
  • 86
    • 0035509657 scopus 로고    scopus 로고
    • Disordered environments in spatial games
    • Vainstein M.H., and Arenzon J.J. Disordered environments in spatial games. Phys Rev E 64 (2001) 051905
    • (2001) Phys Rev E , vol.64 , pp. 051905
    • Vainstein, M.H.1    Arenzon, J.J.2
  • 87
    • 37649030022 scopus 로고    scopus 로고
    • Scale-invariant behavior in a spatial game of prisoners' dilemma
    • Lim Y., Chen K., and Jayaprakash C. Scale-invariant behavior in a spatial game of prisoners' dilemma. Phys Rev E 65 (2002) 026134
    • (2002) Phys Rev E , vol.65 , pp. 026134
    • Lim, Y.1    Chen, K.2    Jayaprakash, C.3
  • 88
    • 2442463138 scopus 로고    scopus 로고
    • Evolution of cooperation in a spatial prisoner's dilemma
    • Schweitzer F., Behera L., and Mühlenbein H. Evolution of cooperation in a spatial prisoner's dilemma. Adv Complex Sys 5 (2002) 269-299
    • (2002) Adv Complex Sys , vol.5 , pp. 269-299
    • Schweitzer, F.1    Behera, L.2    Mühlenbein, H.3
  • 89
    • 4444229348 scopus 로고    scopus 로고
    • Effect of neighbourhood size and connectivity on the spatial continuous prisoner's dilemma
    • Ifti M., Killingback T., and Doebeli M. Effect of neighbourhood size and connectivity on the spatial continuous prisoner's dilemma. J Theor Biol 231 (2004) 97-106
    • (2004) J Theor Biol , vol.231 , pp. 97-106
    • Ifti, M.1    Killingback, T.2    Doebeli, M.3
  • 90
    • 33750438128 scopus 로고    scopus 로고
    • Effects of average degree on cooperation in networked evolutionary game
    • Tang C.-L., Wang W.-X., Wu X., and Wang B.-H. Effects of average degree on cooperation in networked evolutionary game. Eur Phys J B 53 (2006) 411-415
    • (2006) Eur Phys J B , vol.53 , pp. 411-415
    • Tang, C.-L.1    Wang, W.-X.2    Wu, X.3    Wang, B.-H.4
  • 91
    • 38349152469 scopus 로고    scopus 로고
    • Social diversity and promotion of cooperation in the spatial prisoner's dilemma
    • Perc M., and Szolnoki A. Social diversity and promotion of cooperation in the spatial prisoner's dilemma. Phys Rev E 77 (2008) 011904
    • (2008) Phys Rev E , vol.77 , pp. 011904
    • Perc, M.1    Szolnoki, A.2
  • 92
    • 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 Lond B 263 (1996) 1135-1144
    • (1996) Proc R Soc Lond B , vol.263 , pp. 1135-1144
    • Killingback, T.1    Doebeli, M.2
  • 93
    • 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
  • 95
    • 33745605540 scopus 로고    scopus 로고
    • Asynchronous snowdrift game with synergistic effect as a model of cooperation
    • Kun A., Boza G., and Scheuring I. Asynchronous snowdrift game with synergistic effect as a model of cooperation. Behav Ecol 17 (2006) 633-641
    • (2006) Behav Ecol , vol.17 , pp. 633-641
    • Kun, A.1    Boza, G.2    Scheuring, I.3
  • 96
    • 32844463079 scopus 로고    scopus 로고
    • Hawks and doves on small-world networks
    • Tomassini M., Luthi L., and Giacobini M. Hawks and doves on small-world networks. Phys Rev E 73 (2006) 016132
    • (2006) Phys Rev E , vol.73 , pp. 016132
    • Tomassini, M.1    Luthi, L.2    Giacobini, M.3
  • 97
    • 33751308472 scopus 로고    scopus 로고
    • Networking effects on cooperation in evolutionary snowdrift game
    • Zhong L.-X., Zheng D.-F., Zheng B., Xu C., and Hui P. Networking effects on cooperation in evolutionary snowdrift game. Europhys Lett 76 (2006) 724-730
    • (2006) Europhys Lett , vol.76 , pp. 724-730
    • Zhong, L.-X.1    Zheng, D.-F.2    Zheng, B.3    Xu, C.4    Hui, P.5
  • 98
    • 43949168352 scopus 로고
    • The statistical mechanics of strategic interaction
    • Blume L.E. The statistical mechanics of strategic interaction. Games Econ Behav 5 (1993) 387-424
    • (1993) Games Econ Behav , vol.5 , pp. 387-424
    • Blume, L.E.1
  • 99
    • 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
  • 100
    • 0039013918 scopus 로고    scopus 로고
    • Spatial evolution of automata in the prisoners' dilemma
    • Kirchkamp O. Spatial evolution of automata in the prisoners' dilemma. J Econ Behav Org 43 (2000) 239-262
    • (2000) J Econ Behav Org , vol.43 , pp. 239-262
    • Kirchkamp, O.1
  • 101
    • 70350145313 scopus 로고    scopus 로고
    • Effect of spatial structure on the evolution of cooperation
    • in press
    • Roca CP, Cuesta J, Sánchez A. Effect of spatial structure on the evolution of cooperation. Phys Rev E, in press
    • Phys Rev E
    • Roca, C.P.1    Cuesta, J.2    Sánchez, A.3
  • 102
    • 84870781743 scopus 로고    scopus 로고
    • Roca CP, Cuesta J, Sánchez A. Promotion of cooperation on networks? The myopic best response case. Eur Phys J B, doi:10.1140/epjb/e2009-00189-0, in press
    • Roca CP, Cuesta J, Sánchez A. Promotion of cooperation on networks? The myopic best response case. Eur Phys J B, doi:10.1140/epjb/e2009-00189-0, in press
  • 103
    • 0027171029 scopus 로고
    • Evolutionary games and computer simulations
    • Huberman B.A., and Glance N.S. Evolutionary games and computer simulations. Proc Natl Acad Sci USA 90 (1993) 7716-7718
    • (1993) Proc Natl Acad Sci USA , vol.90 , pp. 7716-7718
    • Huberman, B.A.1    Glance, N.S.2
  • 104
    • 0038343466 scopus 로고    scopus 로고
    • Spatial prisoner's dilemma optimally played in small-world networks
    • Masuda N., and Aihara K. Spatial prisoner's dilemma optimally played in small-world networks. Phys Lett A 313 (2003) 55-61
    • (2003) Phys Lett A , vol.313 , pp. 55-61
    • Masuda, N.1    Aihara, K.2
  • 105
    • 18144429076 scopus 로고    scopus 로고
    • Defectors' niches: Prisoner's dilemma game on disordered networks
    • Tomochi M. Defectors' niches: Prisoner's dilemma game on disordered networks. Soc Netw 26 (2004) 309-321
    • (2004) Soc Netw , vol.26 , pp. 309-321
    • Tomochi, M.1
  • 106
    • 0034334818 scopus 로고    scopus 로고
    • Non-equilibrium critical phenomena and phase transitions into absorbing states
    • Hinrichsen H. Non-equilibrium critical phenomena and phase transitions into absorbing states. Adv Phys 49 (2000) 815-958
    • (2000) Adv Phys , vol.49 , pp. 815-958
    • Hinrichsen, H.1
  • 107
    • 0000821826 scopus 로고    scopus 로고
    • Emergence of cooperation among interacting individuals
    • Chiappin J.R.N., and de Oliveira M.J. Emergence of cooperation among interacting individuals. Phys Rev E 59 (1999) 6419-6421
    • (1999) Phys Rev E , vol.59 , pp. 6419-6421
    • Chiappin, J.R.N.1    de Oliveira, M.J.2
  • 108
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • Newman M. The structure and function of complex networks. SIAM Rev 45 (2003) 167-256
    • (2003) SIAM Rev , vol.45 , pp. 167-256
    • Newman, M.1
  • 110
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 111
    • 0036013593 scopus 로고    scopus 로고
    • Statistical mechanics of complex networks
    • Albert R., and Barabási A.-L. Statistical mechanics of complex networks. Rev Mod Phys 74 (2002) 47-97
    • (2002) Rev Mod Phys , vol.74 , pp. 47-97
    • Albert, R.1    Barabási, A.-L.2
  • 112
    • 0242578455 scopus 로고    scopus 로고
    • Prisoners dilemma in real-world acquaintance networks: Spikes and quasi-equilibria induced by the interplay between structure and dynamics
    • Holme P., Trusina A., Kim B.J., and Minnhagen P. Prisoners dilemma in real-world acquaintance networks: Spikes and quasi-equilibria induced by the interplay between structure and dynamics. Phys Rev E 68 (2003) 030901
    • (2003) Phys Rev E , vol.68 , pp. 030901
    • Holme, P.1    Trusina, A.2    Kim, B.J.3    Minnhagen, P.4
  • 113
    • 1842616539 scopus 로고    scopus 로고
    • Self-similar community structure in a network of human interactions
    • Guimerà R., Danon L., Díaz-Guilera A., Giralt F., and Arenas A. Self-similar community structure in a network of human interactions. Phys Rev E 68 (2003) 065103
    • (2003) Phys Rev E , vol.68 , pp. 065103
    • Guimerà, R.1    Danon, L.2    Díaz-Guilera, A.3    Giralt, F.4    Arenas, A.5
  • 114
    • 4243518565 scopus 로고
    • Interrelations between stochastic equations for systems with pair interactions
    • Helbing D. Interrelations between stochastic equations for systems with pair interactions. Physica A 181 (1992) 29-52
    • (1992) Physica A , vol.181 , pp. 29-52
    • Helbing, D.1
  • 115
    • 0007317441 scopus 로고
    • A mathematical model for behavioral changes through pair interactions
    • Hagg G., Mueller U., and Troitzsch K.G. (Eds), Springer-Verlag, Berlin
    • Helbing D. A mathematical model for behavioral changes through pair interactions. In: Hagg G., Mueller U., and Troitzsch K.G. (Eds). Economic evolution and demographic change (1992), Springer-Verlag, Berlin 330-348
    • (1992) Economic evolution and demographic change , pp. 330-348
    • Helbing, D.1
  • 116
    • 0000861816 scopus 로고    scopus 로고
    • Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits
    • Schlag K.H. Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits. J Econ Theory 78 (1998) 130-156
    • (1998) J Econ Theory , vol.78 , pp. 130-156
    • Schlag, K.H.1
  • 117
    • 0041657474 scopus 로고    scopus 로고
    • Now noise matters
    • Blume L. Now noise matters. Games Econ Behav 44 (2003) 251-271
    • (2003) Games Econ Behav , vol.44 , pp. 251-271
    • Blume, L.1
  • 118
    • 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
  • 119
    • 28844437381 scopus 로고    scopus 로고
    • Phase diagrams for an evolutionary prisoners dilemma game on two-dimensional lattices
    • Szabó G., Vukov J., and Szolnoki A. Phase diagrams for an evolutionary prisoners dilemma game on two-dimensional lattices. Phys Rev E 72 (2005) 047107
    • (2005) Phys Rev E , vol.72 , pp. 047107
    • Szabó, G.1    Vukov, J.2    Szolnoki, A.3
  • 120
    • 67349105604 scopus 로고    scopus 로고
    • Evolutionary games on networks and payoff invariance under replicator dynamics
    • Luthi L., Tomassini M., and Pestelacci E. Evolutionary games on networks and payoff invariance under replicator dynamics. Biosystems 96 (2009) 213-222
    • (2009) Biosystems , vol.96 , pp. 213-222
    • Luthi, L.1    Tomassini, M.2    Pestelacci, E.3
  • 122
    • 41349100191 scopus 로고    scopus 로고
    • Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks
    • Wu Z.-X., Xu X.-J., Chen Y., and Wang Y.-H. Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks. Phys Rev E 71 (2005) 037103
    • (2005) Phys Rev E , vol.71 , pp. 037103
    • Wu, Z.-X.1    Xu, X.-J.2    Chen, Y.3    Wang, Y.-H.4
  • 123
    • 33644608463 scopus 로고    scopus 로고
    • Prisoner's dilemma game with heterogeneous influential effect on regular small-world networks
    • Wu Z.-X., Xu X.-J., and Wang Y.-H. Prisoner's dilemma game with heterogeneous influential effect on regular small-world networks. Chin Phys Lett 23 (2006) 531-534
    • (2006) Chin Phys Lett , vol.23 , pp. 531-534
    • Wu, Z.-X.1    Xu, X.-J.2    Wang, Y.-H.3
  • 124
    • 33751518452 scopus 로고    scopus 로고
    • Coordination and cooperation in local, random and small world networks: Experimental evidence
    • Cassar A. Coordination and cooperation in local, random and small world networks: Experimental evidence. Games Econ Behav 58 (2007) 209-230
    • (2007) Games Econ Behav , vol.58 , pp. 209-230
    • Cassar, A.1
  • 125
    • 33745448702 scopus 로고    scopus 로고
    • Cooperation in the noisy case: Prisoner's dilemma game on two types of regular random graphs
    • Vukov J., Szabó G., and Szolnoki A. Cooperation in the noisy case: Prisoner's dilemma game on two types of regular random graphs. Phys Rev E 73 (2006) 067103
    • (2006) Phys Rev E , vol.73 , pp. 067103
    • Vukov, J.1    Szabó, G.2    Szolnoki, A.3
  • 126
    • 20044380591 scopus 로고    scopus 로고
    • Game theory and physics
    • Hauert C., and Szabó G. Game theory and physics. Am J Phys 73 (2005) 405
    • (2005) Am J Phys , vol.73 , pp. 405
    • Hauert, C.1    Szabó, G.2
  • 127
    • 27144476443 scopus 로고    scopus 로고
    • Scale-free networks provide a unifying framework for the emergence of cooperation
    • Santos F.C., and Pacheco J.M. Scale-free networks provide a unifying framework for the emergence of cooperation. Phys Rev Lett 95 (2005) 98104
    • (2005) Phys Rev Lett , vol.95 , pp. 98104
    • Santos, F.C.1    Pacheco, J.M.2
  • 128
    • 33645326920 scopus 로고    scopus 로고
    • Graph topology plays a determinant role in the evolution of cooperation
    • Santos F.C., Pacheco J.M., and Lenaerts T. Graph topology plays a determinant role in the evolution of cooperation. Proc Roy Soc B 273 (2006) 51-56
    • (2006) Proc Roy Soc B , vol.273 , pp. 51-56
    • Santos, F.C.1    Pacheco, J.M.2    Lenaerts, T.3
  • 129
    • 41349086001 scopus 로고    scopus 로고
    • Growing scale-free networks with small-world behavior
    • Klemm K., and Eguíluz V.M. Growing scale-free networks with small-world behavior. Phys Rev E 65 (2002) 057102
    • (2002) Phys Rev E , vol.65 , pp. 057102
    • Klemm, K.1    Eguíluz, V.M.2
  • 130
    • 47249143260 scopus 로고    scopus 로고
    • Enhancement of cooperation in highly clustered scale-free networks
    • Assenza S., Gómez-Gardeñes J., and Latora V. Enhancement of cooperation in highly clustered scale-free networks. Phys Rev E 78 (2009) 017101
    • (2009) Phys Rev E , vol.78 , pp. 017101
    • Assenza, S.1    Gómez-Gardeñes, J.2    Latora, V.3
  • 132
    • 34547491440 scopus 로고    scopus 로고
    • Robustness of cooperation in the prisoner's dilemma in complex networks
    • Poncela J., Gómez-Gardeñes J., Floría L.M., and Moreno Y. Robustness of cooperation in the prisoner's dilemma in complex networks. New J Phys 9 (2007) 184
    • (2007) New J Phys , vol.9 , pp. 184
    • Poncela, J.1    Gómez-Gardeñes, J.2    Floría, L.M.3    Moreno, Y.4
  • 133
    • 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
  • 134
    • 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
  • 135
    • 33749041916 scopus 로고    scopus 로고
    • The replicator equation on graphs
    • Ohtsuki H., and Nowak M.A. The replicator equation on graphs. J Theor Biol 243 (2006) 86-97
    • (2006) J Theor Biol , vol.243 , pp. 86-97
    • Ohtsuki, H.1    Nowak, M.A.2
  • 136
    • 0031333279 scopus 로고    scopus 로고
    • Emergence of cooperation and organization in an evolutionary game
    • Challet D., and Zhang Y.C. Emergence of cooperation and organization in an evolutionary game. Physica A 246 (1997) 407-418
    • (1997) Physica A , vol.246 , pp. 407-418
    • Challet, D.1    Zhang, Y.C.2
  • 137
    • 58149186448 scopus 로고    scopus 로고
    • Effects of dynamic response time in an evolving market
    • Zhong L.-X., Qiu T., Chen B.-H., and Liu C.-F. Effects of dynamic response time in an evolving market. Physica A 388 (2009) 673-681
    • (2009) Physica A , vol.388 , pp. 673-681
    • Zhong, L.-X.1    Qiu, T.2    Chen, B.-H.3    Liu, C.-F.4
  • 138
    • 42749101868 scopus 로고    scopus 로고
    • Coevolution of dynamical states and interactions in dynamic networks
    • Zimmermann M.G., Eguíluz V.M., and San Miguel M. Coevolution of dynamical states and interactions in dynamic networks. Phys Rev E 69 (2004) 65102
    • (2004) Phys Rev E , vol.69 , pp. 65102
    • Zimmermann, M.G.1    Eguíluz, V.M.2    San Miguel, M.3
  • 139
    • 1242297101 scopus 로고    scopus 로고
    • The rise and fall of a networked society: A formal model
    • Marsili M., Vega-Redondo F., and Slanina F. The rise and fall of a networked society: A formal model. Proc Natl Acad Sci USA 101 (2004) 1439-1442
    • (2004) Proc Natl Acad Sci USA , vol.101 , pp. 1439-1442
    • Marsili, M.1    Vega-Redondo, F.2    Slanina, F.3
  • 140
    • 21344439103 scopus 로고    scopus 로고
    • Cooperation and the emergence of role differentiation in the dynamics of social networks
    • Eguíluz V., Zimmermann M., Cela-Conde M.G., and San Miguel M. Cooperation and the emergence of role differentiation in the dynamics of social networks. Am J Sociol 110 (2005) 977-1008
    • (2005) Am J Sociol , vol.110 , pp. 977-1008
    • Eguíluz, V.1    Zimmermann, M.2    Cela-Conde, M.G.3    San Miguel, M.4
  • 141
    • 33750440513 scopus 로고    scopus 로고
    • Cooperation prevails when individuals adjust their social ties
    • Santos F.C., Pacheco J.M., and Lenaerts T. Cooperation prevails when individuals adjust their social ties. PLoS Comput Biol 2 (2006) e140
    • (2006) PLoS Comput Biol , vol.2
    • Santos, F.C.1    Pacheco, J.M.2    Lenaerts, T.3
  • 142
    • 33845648428 scopus 로고    scopus 로고
    • Coevolution of strategy and structure in complex networks with dynamical linking
    • Pacheco J.M., Traulsen A., and Nowak M.A. Coevolution of strategy and structure in complex networks with dynamical linking. Phys Rev Lett 97 (2006) 258103
    • (2006) Phys Rev Lett , vol.97 , pp. 258103
    • Pacheco, J.M.1    Traulsen, A.2    Nowak, M.A.3
  • 143
    • 33947122212 scopus 로고    scopus 로고
    • Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs
    • Ohtsuki H., Nowak M.A., and Pacheco J.M. Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs. Phys Rev Lett 98 (2007) 108106
    • (2007) Phys Rev Lett , vol.98 , pp. 108106
    • Ohtsuki, H.1    Nowak, M.A.2    Pacheco, J.M.3
  • 145
    • 38649137995 scopus 로고    scopus 로고
    • Repeated games and direct reciprocity under active linking
    • Pacheco J.M., Traulsen A., Ohtsuki H., and Nowak M.A. Repeated games and direct reciprocity under active linking. J Theor Biol 250 (2008) 723-734
    • (2008) J Theor Biol , vol.250 , pp. 723-734
    • Pacheco, J.M.1    Traulsen, A.2    Ohtsuki, H.3    Nowak, M.A.4
  • 146
    • 38349157799 scopus 로고    scopus 로고
    • Adaptive coevolutionary networks: A review
    • Gross T., and Blasius B. Adaptive coevolutionary networks: A review. J R Soc Interface 5 (2008) 259-271
    • (2008) J R Soc Interface , vol.5 , pp. 259-271
    • Gross, T.1    Blasius, B.2
  • 148
    • 57749170765 scopus 로고    scopus 로고
    • Random mobility and spatial structure often enhance cooperation
    • Sicardi E.A., Fort H., Vainstein M.H., and Arenzon J.J. Random mobility and spatial structure often enhance cooperation. J Theor Biol 256 (2009) 240-246
    • (2009) J Theor Biol , vol.256 , pp. 240-246
    • Sicardi, E.A.1    Fort, H.2    Vainstein, M.H.3    Arenzon, J.J.4
  • 149
    • 62649155153 scopus 로고    scopus 로고
    • The outbreak of cooperation among success-driven individuals under noisy conditions
    • Helbing D., and Yu W. The outbreak of cooperation among success-driven individuals under noisy conditions. Proc Natl Acad Sci USA 106 (2009) 3680-3685
    • (2009) Proc Natl Acad Sci USA , vol.106 , pp. 3680-3685
    • Helbing, D.1    Yu, W.2
  • 150
    • 0019885790 scopus 로고
    • Learning the evolutionarily stable strategy
    • Harley C.B. Learning the evolutionarily stable strategy. J Theor Biol 89 (1981) 611-633
    • (1981) J Theor Biol , vol.89 , pp. 611-633
    • Harley, C.B.1
  • 151
    • 0013445377 scopus 로고    scopus 로고
    • Simultaneous evolution of learning rules and strategies
    • Kirchkamp O. Simultaneous evolution of learning rules and strategies. J Econ Behav Org 40 (1999) 295-312
    • (1999) J Econ Behav Org , vol.40 , pp. 295-312
    • Kirchkamp, O.1
  • 152
    • 67349268833 scopus 로고    scopus 로고
    • Evolving learning rules and emergence of cooperation in spatial prisoner's dilemma
    • Moyano L.G., and Sánchez A. Evolving learning rules and emergence of cooperation in spatial prisoner's dilemma. J Theor Biol 259 (2009) 84-95
    • (2009) J Theor Biol , vol.259 , pp. 84-95
    • Moyano, L.G.1    Sánchez, A.2
  • 154
    • 46449122545 scopus 로고    scopus 로고
    • Coevolution of teaching activity promotes cooperation
    • Szolnoki A., and Perc M. Coevolution of teaching activity promotes cooperation. New J Phys 10 (2008) 043036
    • (2008) New J Phys , vol.10 , pp. 043036
    • Szolnoki, A.1    Perc, M.2
  • 155
    • 67349216222 scopus 로고    scopus 로고
    • Promoting cooperation in social dilemmas via simple coevolutionary rules
    • Szolnoki A., and Perc M. Promoting cooperation in social dilemmas via simple coevolutionary rules. Eur Phys J B 67 (2008) 337-342
    • (2008) Eur Phys J B , vol.67 , pp. 337-342
    • Szolnoki, A.1    Perc, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.