Noise-induced enhancement of network reciprocity in social dilemmas

The network reciprocity is an important dynamic rule fostering the emergence of cooperation among selfish individuals. This was reported firstly in the seminal work of Nowak and May, where individuals were arranged on the regular lattice network, and played the prisoner’s dilemma game (PDG). In the standard PDG, one often assumes that the players have perfect rationality. However, in reality, we human are far from rational agents, as we often make mistakes, and behave irrationally. Accordingly, in this work, we introduce the element of noise into the measurement of fitness, which is determined by the parameter α controlling the degree of noise. The considered noise-induced mechanism remarkably promotes the behavior of cooperation, which may be conducive to interpret the emergence of cooperation within the population.

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

[2]  Zhaojin Xu,et al.  Self-adjusting rule in spatial voluntary public goods games , 2010 .

[3]  G. Szabó,et al.  Evolutionary games on graphs , 2006, cond-mat/0607344.

[4]  Zhaojin Xu,et al.  Bounded rationality in volunteering public goods games. , 2010, Journal of theoretical biology.

[5]  Aya Hagishima,et al.  Referring to the social performance promotes cooperation in spatial prisoner's dilemma games. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Xianbin Cao,et al.  Integrating neighborhoods in the evaluation of fitness promotes cooperation in the spatial prisoner's dilemma game , 2010, ArXiv.

[7]  Chengyi Xia,et al.  Role of update dynamics in the collective cooperation on the spatial snowdrift games: Beyond unconditional imitation and replicator dynamics , 2012 .

[8]  Zhen Wang,et al.  Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game , 2010, PloS one.

[9]  Yan Zhang,et al.  Estimating the value of containment strategies in delaying the arrival time of an influenza pandemic: a case study of travel restriction and patient isolation. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[11]  M. Perc Transition from Gaussian to Levy distributions of stochastic payoff variations in the spatial prisoner's dilemma game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  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.

[13]  G. Szabó,et al.  Phase diagrams for an evolutionary prisoner's dilemma game on two-dimensional lattices. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Attila Szolnoki,et al.  Interdependent network reciprocity in evolutionary games , 2013, Scientific Reports.

[15]  Zhen Wang,et al.  Aspiration-induced reconnection in spatial public-goods game , 2011, ArXiv.

[16]  Matjaž Perc,et al.  Sustainable institutionalized punishment requires elimination of second-order free-riders , 2012, Scientific Reports.

[17]  Wang Zhen,et al.  Maintenance of cooperation induced by punishment in public goods games , 2010 .

[18]  M. Perc Coherence resonance in a spatial prisoner's dilemma game , 2006 .

[19]  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.

[20]  Matjaž Perc,et al.  Chaos promotes cooperation in the spatial prisoner's dilemma game , 2006 .

[21]  György Szabó,et al.  Evolutionary prisoner's dilemma games with voluntary participation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  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.

[23]  Xiang Li,et al.  Roles of mixing patterns in cooperation on a scale-free networked game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[25]  Matjaz Perc,et al.  Aspiring to the Fittest and Promotion of Cooperation in the Prisoner's Dilemma Game , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  W. Hamilton,et al.  The evolution of cooperation. , 1984, Science.

[27]  Hai Lin,et al.  Cooperation among mobile individuals with payoff expectations in the spatial prisoner's dilemma game , 2011 .

[28]  M H Vainstein,et al.  Disordered environments in spatial games. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Michael Doebeli,et al.  Spatial structure often inhibits the evolution of cooperation in the snowdrift game , 2004, Nature.

[30]  Zhen Wang,et al.  Strategy changing penalty promotes cooperation in spatial prisoner’s dilemma game , 2012 .

[31]  Matjaž Perc,et al.  Evolutionary and dynamical coherence resonances in the pair approximated prisoner's dilemma game , 2006 .

[32]  Xiang Li,et al.  Evolution of Scaling Emergence in Large-Scale Spatial Epidemic Spreading , 2011, PloS one.

[33]  Attila Szolnoki,et al.  Wisdom of groups promotes cooperation in evolutionary social dilemmas , 2012, Scientific Reports.

[34]  Attila Szolnoki,et al.  Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions , 2010, PLoS Comput. Biol..

[35]  Eörs Szathmáry,et al.  The Major Transitions in Evolution , 1997 .

[36]  Zhen Wang,et al.  AGE-RELATED PREFERENTIAL SELECTION CAN PROMOTE COOPERATION IN THE PRISONER'S DILEMMA GAME , 2012 .

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

[38]  A. Furnham,et al.  A literature review of the anchoring effect , 2011 .

[39]  Jun Tanimoto,et al.  Promotion of cooperation by payoff noise in a 2x2 game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  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.

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

[42]  Xiang Li,et al.  Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation , 2010 .

[43]  Zhen Wang,et al.  Evaluating fitness by integrating the highest payoff within the neighborhood promotes cooperation in social dilemmas , 2012 .

[44]  Matjaz Perc,et al.  Coveting thy neighbors fitness as a means to resolve social dilemmas , 2011, Journal of theoretical biology.

[45]  Jun Tanimoto,et al.  Relationship between dilemma occurrence and the existence of a weakly dominant strategy in a two-player symmetric game , 2007, Biosyst..

[46]  Chengyi Xia,et al.  Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games , 2012, PloS one.

[47]  Tian-Lun Chen,et al.  An extensive weight-driven network with non-linear growth information , 2008 .

[48]  Timothy D. Wilson,et al.  A new look at anchoring effects: basic anchoring and its antecedents. , 1996, Journal of experimental psychology. General.

[49]  G. Szabó,et al.  Cooperation in the noisy case: Prisoner's dilemma game on two types of regular random graphs. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Run-Ran Liu,et al.  Effects of Inertia on Evolutionary Prisoner's Dilemma Game , 2012 .

[51]  王震,et al.  Punishment in optional public goods games , 2010 .

[52]  Attila Szolnoki,et al.  Selection of noise level in strategy adoption for spatial social dilemmas. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[53]  Zhaojin Xu,et al.  Bounded rationality leads to equilibrium of public goods games. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[54]  R. Axelrod,et al.  Evolutionary Dynamics , 2004 .

[55]  Zhen Wang,et al.  If players are sparse social dilemmas are too: Importance of percolation for evolution of cooperation , 2012, Scientific Reports.

[56]  Attila Szolnoki,et al.  Evolutionary dynamics of group interactions on structured populations: a review , 2013, Journal of The Royal Society Interface.

[57]  Zhen Wang,et al.  Cooperation and age structure in spatial games. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  Attila Szolnoki,et al.  Evolution of public cooperation on interdependent networks: The impact of biased utility functions , 2012, ArXiv.

[59]  Aya Hagishima,et al.  Does copy-resistance enhance cooperation in spatial prisoner's dilemma? , 2012 .

[60]  Zhen Wang,et al.  How human location-specific contact patterns impact spatial transmission between populations? , 2013, Scientific Reports.

[61]  D. Helbing,et al.  The outbreak of cooperation among success-driven individuals under noisy conditions , 2009, Proceedings of the National Academy of Sciences.

[62]  J. Cuesta,et al.  Heterogeneous networks do not promote cooperation when humans play a Prisoner’s Dilemma , 2012, Proceedings of the National Academy of Sciences.

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

[64]  M. Nowak Five Rules for the Evolution of Cooperation , 2006, Science.