Abstract
A prisoner’s dilemma game model is studied using complex networks with a fixed strategy. The strategy of the player is updated according to not only the payoff differences between players and the neighbors, but also the majority of neighbors (noted as conformist mentality strategy). According to our results of the simulations we found that the players which select the conformist mentality strategy, the density of cooperators markedly improves. The variation trend is slower on the square lattice and small-world networks, but a different phenomenon is noted for scale-free networks. A range of conformist mentality probability is seen on BA networks which conforms to a higher density of cooperators.
Similar content being viewed by others
References
von Neumann J, Morgenstern O. Theory of Games and Economic Behavior. Princeton: Princeton University Press, 1953
Smith J M. Evolution and the Theory of Games. Cambridge: Cambridge University Press, 1982
Axelrod R. The Evolution of Cooperation. New York: Basic Books, 1984
Hofbauer J, Sigmund K. Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press, 1998
Nowak M, May R M. Evolutionary games and spatial chaos. Nature, 1992, 359: 826–829
Szabó G, Töke C. Evolutionary prisoner’s dilemma game on a square lattice. Phys Rev E, 1998, 58: 69–73
Szabó G, Vukov J, Szalnoki A. Phase diagrams for an evolutionary Prisoner’s Dilemma game on two-dimensional lattices. Phys Rev E, 2005, 72: 047107
Abramson G, Kuperman M. Social games in a social network. Phys Rev E, 2001, 63(R): 030901
Santos F C, Pacheco J M. Scale-free networks provide a unifying framework for the emergence of cooperation. Phys Rev Lett, 2005, 95: 098104
Challet D, Zhang Y C. Emergence of cooperation and organization in an evolutionary game. Physica A, 1997, 246: 407–418
Challet D, Zhang Y C. On the minority game: Analytical and numerical studies. Physica A, 1998, 256: 514–532
Fu F, Liu L H, Wang L. Evolutionary Prisoner’s dilemma on heterogeneous Newman-Watts small-world network. Eur Phys J B, 2007, 56: 367–372
Santos F C, Pacheco J M. A new route to the evolution of cooperation. J Evol Bio, 2006, 19(3): 726–733
Pacheco J M, Santos F C. Network dependence of the dilemmas of cooperation. Science of complex networks: From biology to the internet and www. In: AIP Conference Proceedings. New York: AIP, 2005
Ren J, Wang W X, Qi F. Randomness enhances cooperation: Phenomenon in evolutionary games. Phys Rev E, 2007, 75: 045101
Jiang L L, Wang W X, Lai Y C, et al. Role of adaptive migration in promoting cooperation in spatial games. Phys Rev E, 2010, 81: 036108
Wang W X, Ren J, Chen G R, et al. Memory-based snowdrift game on networks. Phys Rev E, 2006, 74: 036108
Guan J Y, Wu Z X, Huang Z G, et al. Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner’s Dilemma game. Eurphys Lett, 2006, 76: 1214–1220
Traulsen A, Claussen J C. Similarity based cooperation and spatial segregation. Phys Rev E, 2004, 70: 046128
Rong Z H, Wu Z X, Wang W X. Emergence of cooperation through coevolving time scale in spatial prisoner’s dilemma. Phys Rev E, 2010, 82: 026101
Wu Z X, Rong Z H, Holme P. Diversity of reproduction time scale promotes cooperation in spatial prisoner’s dilemma games. Phys Rev E, 2009, 80: 036106
Nowak M A, May R M. The spatial dilemmas of evolution. Int J Bifurcation Chaos, 1993, 4: 33–56
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, X., Zhu, Z. & Ren, X. Evolutionary prisoner’s dilemma game on complex networks with conformist mentality strategy. Sci. China Phys. Mech. Astron. 55, 1225–1228 (2012). https://doi.org/10.1007/s11433-012-4753-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11433-012-4753-2