Evolutionary snowdrift game with rational selection based on radical evaluation

A rational selecting mechanism based on radical evaluation is put forward into evolutionary snowdrift game.Only neighbors with strong attractiveness are selected as a reference.The proposed model is effective on large-neighbor regular networks and scale-free networks.Cooperation is promoted over a wide range of parameter r. Considering some phenomena observed in the real world, we introduce a rational selecting mechanism based on radical evaluation into evolutionary snowdrift game. In the proposed model, players are endowed with a sense of rationality, which helps evaluate behaviors radically and select neighbors with different attractiveness. Those neighbors who made a preferable strategy and got more payoffs compared with the anti-strategy will have more attractiveness as references. It is found that the selection based on radical evaluation significantly enhances the level of cooperation on regular networks with large neighborhood size K and scale-free networks over a wide range of cost-to-benefit ratio r. Discussions for the transition of spatial patterns and strategy degree distribution at some critical values of the payoff parameter show the effects of the proposed selecting mechanism. The findings may be helpful in understanding cooperative behavior in natural and social systems consisting of rational selection with radical evaluation.

[1]  C. Hauert,et al.  Reward and punishment , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[2]  M. Macy,et al.  Learning dynamics in social dilemmas , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Paul E. Turner,et al.  Prisoner's dilemma in an RNA virus , 1999, Nature.

[4]  P M Hui,et al.  Phase transitions in a coevolving snowdrift game with costly rewiring. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Yiping Fang,et al.  Promotion of cooperation in aspiration-based spatial prisoner’s dilemma game , 2011 .

[6]  Li-Xin Zhong,et al.  Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping , 2013 .

[7]  Ye Ye,et al.  Evolution of emotions on networks leads to the evolution of cooperation in social dilemmas , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Mei-huan Chen,et al.  Impact of individual response strategy on the spatial public goods game within mobile agents , 2015, Appl. Math. Comput..

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

[10]  K. Kaski,et al.  Spatial snowdrift game with myopic agents , 2005 .

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

[12]  M. Nowak,et al.  Stochastic dynamics of invasion and fixation. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[14]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[15]  Zhen Wang,et al.  Impact of keeping silence on spatial reciprocity in spatial games , 2015, Appl. Math. Comput..

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

[17]  Pak Ming Hui,et al.  Cooperative behavior in N-person evolutionary snowdrift games with punishment , 2015 .

[18]  F C Santos,et al.  Epidemic spreading and cooperation dynamics on homogeneous small-world networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Chao Wang,et al.  Imitating emotions instead of strategies in spatial games elevates social welfare , 2011, 1109.1712.

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

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

[22]  C. Hauert,et al.  Game theory and physics , 2005 .

[23]  Xiaoping Zheng,et al.  Effect of heterogeneous sub-populations on the evolution of cooperation , 2015, Appl. Math. Comput..

[24]  Wenxu Wang,et al.  Memory-based snowdrift game on networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Martin A. Nowak,et al.  Spatial structure often inhibits the evolution of cooperation in the snowdrift game , 2022 .

[26]  Geoffrey Parker,et al.  Cooperation under predation risk: experiments on costs and benefits , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[27]  Zhi-Xi Wu,et al.  Evolutionary prisoner's dilemma game with dynamic preferential selection. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Attila Szolnoki,et al.  Conditional Strategies and the Evolution of Cooperation in Spatial Public Goods Games , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  J Gómez-Gardeñes,et al.  Dynamical organization of cooperation in complex topologies. , 2007, Physical review letters.

[30]  Thomas Lux,et al.  Financial systems: Ecology and economics , 2011, Nature.

[31]  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.

[32]  Attila Szolnoki,et al.  Evolutionary prisoner's dilemma game on Newman-Watts networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Tian Qiu,et al.  Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions , 2010, Comput. Phys. Commun..

[34]  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.

[35]  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.

[36]  F. C. Santos,et al.  Evolutionary dynamics of social dilemmas in structured heterogeneous populations. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

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

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

[39]  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.

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

[41]  W. Hamilton,et al.  The Evolution of Cooperation , 1984 .

[42]  Ning Jia,et al.  Evolution of cooperation in the snowdrift game among mobile players with random-pairing and reinforcement learning , 2013 .

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

[44]  Shuai Ding,et al.  Evolution of cooperation in the traveler's dilemma game on two coupled lattices , 2014, Appl. Math. Comput..

[45]  M. Nowak,et al.  MORE SPATIAL GAMES , 1994 .

[46]  Bing-Hong Wang,et al.  Uncovering cooperative behaviors with sparse historical behavior data in the spatial games , 2015, Appl. Math. Comput..

[47]  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.

[48]  György Szabó,et al.  Evolutionary prisoner's dilemma game on hierarchical lattices. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  Xin-Jian Xu,et al.  Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner's Dilemma game , 2006 .

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