Evolutionary dynamics of social dilemmas with asymmetry

Abstract Asymmetric phenomenon is ubiquitous in human and animal societies. Based on this fact, we construct an asymmetric way to investigate the evolution of cooperation. In detail, the structured populations are classified into two types: players of type A (strong player) possess higher fitness, while players of type B (weak player) possess fitness equaling their payoffs. Through numerical simulation, we find that our asymmetric setup can promote the evolution of cooperation, which is related to the leader role of the players of type A. It is worth mentioning that the larger the value of ω , namely, the degree of asymmetric becomes more large, the higher the level of cooperation. Besides, the higher degree of asymmetric will lead to a long relaxation time reaching stationary state and less striking promoting effect. Lastly, in order to test the robustness of mechanism, we explore the evolution of cooperation on different topologies.

[1]  G. Szabo,et al.  Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks , 2008, 0802.2807.

[2]  J. J. Arenzon,et al.  Does mobility decrease cooperation? , 2006, Journal of theoretical biology.

[3]  H. Ohtsuki,et al.  Breaking the symmetry between interaction and replacement in evolutionary dynamics on graphs. , 2007, Physical review letters.

[4]  Arne Traulsen,et al.  Stochastic payoff evaluation increases the temperature of selection. , 2007, Journal of theoretical biology.

[5]  Lin Wang,et al.  Spatial epidemiology of networked metapopulation: an overview , 2014, bioRxiv.

[6]  G. Szabó,et al.  Cooperation enhanced by inhomogeneous activity of teaching for evolutionary Prisoner's Dilemma games , 2006, q-bio/0610001.

[7]  G. Szabó,et al.  Evolutionary prisoner's dilemma game on a square lattice , 1997, cond-mat/9710096.

[8]  James M. Allen,et al.  Asynchronous updates can promote the evolution of cooperation on multiplex networks , 2017 .

[9]  Lin Wang,et al.  Evolutionary games on multilayer networks: a colloquium , 2015, The European Physical Journal B.

[10]  Manabu Iwata,et al.  Heterogeneity of link weight and the evolution of cooperation , 2015, ArXiv.

[11]  Matjaz Perc,et al.  Success-Driven Distribution of Public Goods Promotes Cooperation but Preserves Defection , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Attila Szolnoki,et al.  Coevolutionary Games - A Mini Review , 2009, Biosyst..

[13]  Chengyi Xia,et al.  Interdependency enriches the spatial reciprocity in prisoner’s dilemma game on weighted networks , 2016 .

[14]  Jun Tanimoto,et al.  Does a tag system effectively support emerging cooperation? , 2007, Journal of theoretical biology.

[15]  Attila Szolnoki,et al.  Rock-scissors-paper game on regular small-world networks , 2004 .

[16]  Lei Shi,et al.  Trade-off between reciprocal mutualists: local resource availability-oriented interaction in fig/fig wasp mutualism. , 2008, The Journal of animal ecology.

[17]  Lei Shi,et al.  The evolution of cooperation in asymmetric systems , 2010, Science China Life Sciences.

[18]  Mao-Bin Hu,et al.  Asymmetric cost in snowdrift game on scale-free networks , 2009 .

[19]  Juan Wang,et al.  Promotion of cooperation due to diversity of players in the spatial public goods game with increasing neighborhood size , 2014 .

[20]  Juan Wang,et al.  Evolution of cooperation in the spatial public goods game with adaptive reputation assortment , 2016 .

[21]  F. C. Santos,et al.  Scale-free networks provide a unifying framework for the emergence of cooperation. , 2005, Physical review letters.

[22]  F. C. Santos,et al.  Social diversity promotes the emergence of cooperation in public goods games , 2008, Nature.

[23]  C. Hauert,et al.  Reputation-based partner choice promotes cooperation in social networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  M. Perc,et al.  Coevolution of teaching activity promotes cooperation , 2008, 0803.4091.

[25]  Y Moreno,et al.  Effects of mobility in a population of prisoner's dilemma players. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  P. Holme,et al.  Effects of strategy-migration direction and noise in the evolutionary spatial prisoner's dilemma. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  Attila Szolnoki,et al.  Restricted connections among distinguished players support cooperation. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Zi Yu,et al.  An improved fitness evaluation mechanism with noise in prisoner's dilemma game , 2016, Appl. Math. Comput..

[29]  M. Perc,et al.  Social diversity and promotion of cooperation in the spatial prisoner's dilemma game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Attila Szolnoki,et al.  Making new connections towards cooperation in the prisoner's dilemma game , 2008, 0811.4372.

[31]  Chengyi Xia,et al.  Enhancement of cooperation in prisoner’s dilemma game on weighted lattices , 2011 .

[32]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[33]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[34]  Juan Wang,et al.  Inferring the reputation enhances the cooperation in the public goods game on interdependent lattices , 2017, Appl. Math. Comput..

[35]  M. Nowak,et al.  Evolutionary games and spatial chaos , 1992, Nature.

[36]  G. Szabó,et al.  Cooperation in spatial prisoner's dilemma with two types of players for increasing number of neighbors. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Xinyang Deng,et al.  Evidence Combination From an Evolutionary Game Theory Perspective , 2015, IEEE Transactions on Cybernetics.

[38]  J. Cuesta,et al.  Emergence and resilience of cooperation in the spatial prisoner's dilemma via a reward mechanism. , 2007, Journal of theoretical biology.

[39]  M. Perc,et al.  Towards effective payoffs in the prisoner’s dilemma game on scale-free networks , 2007, 0711.4028.

[40]  J. Cuesta,et al.  Time scales in evolutionary dynamics. , 2006, Physical review letters.