A moderate hatred of the rich mentality promotes cooperation in prisoner’s dilemma game

Most current studies involving prisoner’s dilemma games are formulated under the assumption that participators are rational during collective interaction. Although irrationality in some patterns has been considered in the evolution, the effects brought about by the hatred of the rich mentality have never been investigated. Here, we introduce a cumulative reward-based rule where a player will adopt an irrational strategy which is expressed in defection in the game if the cumulative reward of the opponent exceeds the threshold controlled by a given parameter. Interestingly, despite irrational defection, such rules will result in the best environment for cooperator’s viability. In addition, we have demonstrated that irrationality in this form could be favorable for the average allocation of wealth in terms of Gini coefficient.

[1]  Hong Zhang,et al.  Moderate tolerance promotes tag-mediated cooperation in spatial Prisoner’s dilemma game , 2015 .

[2]  Bo Xu,et al.  The evolution of cooperation in spatial prisoner’s dilemma games with heterogeneous relationships , 2015 .

[3]  D. Barash.  The Biology of Moral Systems, Richard D. Alexander. Aldine, Hawthorne, New York (1987), xx, +301. Price $34.95 hardback, $16.95 paperback , 1987 .

[4]  David Hales,et al.  Cooperation without Memory or Space: Tags, Groups and the Prisoner's Dilemma , 2000, MABS.

[5]  Ichiro Kawachi,et al.  Income distribution and mortality: cross sectional ecological study of the Robin Hood index in the United States , 1996, BMJ.

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

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

[8]  Xiaolin Hu,et al.  Spatial activity-based modeling for pedestrian crowd simulation , 2013, Simul..

[9]  James A. Reggia,et al.  The Trend Cellular Automata Programming Environment , 2002, Simul..

[10]  N. Lanchier,et al.  Evolutionary games on the lattice: Payoffs affecting birth and death rates , 2013, 1302.0069.

[11]  Jun Tanimoto,et al.  Network reciprocity created in prisoner's dilemma games by coupling two mechanisms. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

[14]  Jie Liu,et al.  Evolutionary behavior of generalized zero-determinant strategies in iterated prisoner’s dilemma , 2015 .

[15]  Klaus Deininger,et al.  A New Data Set Measuring Income Inequality , 1996 .

[16]  C. Hauert,et al.  Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games , 2002, Science.

[17]  P. Maini,et al.  Mathematical oncology: Cancer summed up , 2003, Nature.

[18]  S. Schuster,et al.  Game-theoretical approaches to studying the evolution of biochemical systems. , 2005, Trends in biochemical sciences.

[19]  Rosaria Conte,et al.  Gossip for social control in natural and artificial societies , 2012, Simul..

[20]  Georgios Ch. Sirakoulis,et al.  Special issue on Simulation with Cellular Automata , 2016, Simul..

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

[22]  Lei Yang,et al.  Memory boosts turn taking in evolutionary dilemma games , 2015, Biosyst..

[23]  Dimosthenis Kyriazis,et al.  Exploiting grid technologies for the simulation of clinical trials: the paradigm of in silico radiation oncology , 2011, Simul..

[24]  Martin A. Nowak,et al.  Evolutionary performance of zero-determinant strategies in multiplayer games , 2015, Journal of theoretical biology.

[25]  Tatsuya Sasaki,et al.  Cheating is evolutionarily assimilated with cooperation in the continuous snowdrift game , 2015, Biosyst..

[26]  L. Dugatkin,et al.  Cooperation among unrelated individuals: reciprocal altruism, by-product mutualism and group selection in fishes. , 1996, Bio Systems.

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

[28]  D. E. Matthews.  Evolution and the Theory of Games , 1977 .

[29]  Martin A. Nowak,et al.  Phage-lift for game theory , 1999, Nature.