Social selection of game organizers promotes cooperation in spatial public goods games

Inspired by the fact that opportunities in reality are heterogeneous for individuals due to social selection, we propose an evolutionary public goods game model considering the social selection of game organizers occurring on a square lattice. We introduce a simple rule that, depending on the value of a single parameter mu, influences the selection of players that are considered as potential game organizers. For positive mu players with a high payoff will be considered more likely. Setting mu equal to zero returns the random selection of game organizers. We find that increasing the probability of selecting the wealthier individuals as game organizers can effectively promote cooperation. We show that the promotion of cooperation attributes to the dominance of the clusters of cooperative organizers in the population by investigating the evolution of spatial patterns.

[1]  Attila Szolnoki,et al.  Reward and cooperation in the spatial public goods game , 2010, ArXiv.

[2]  Long Wang,et al.  Impact of generalized benefit functions on the evolution of cooperation in spatial public goods games with continuous strategies. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  J M Smith,et al.  Evolution and the theory of games , 1976 .

[4]  György Szabó,et al.  Phase transitions and volunteering in spatial public goods games. , 2002, Physical review letters.

[5]  Ping-Ping Li,et al.  Cooperative behavior in evolutionary snowdrift games with the unconditional imitation rule on regular lattices. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Attila Szolnoki,et al.  Punish, but not too hard: how costly punishment spreads in the spatial public goods game , 2010, 1007.0431.

[7]  Attila Szolnoki,et al.  Percolation threshold determines the optimal population density for public cooperation , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  M. Nowak Evolutionary Dynamics: Exploring the Equations of Life , 2006 .

[9]  Attila Szolnoki,et al.  Impact of Critical Mass on the Evolution of Cooperation in Spatial Public Goods Games , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Y. Lai,et al.  Diversity-optimized cooperation on complex networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Garrison W. Greenwood,et al.  Evolution of strategies for the collective-risk social dilemma relating to climate change , 2011 .

[12]  G. Szabó,et al.  Competition of individual and institutional punishments in spatial public goods games. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Attila Szolnoki,et al.  Averting group failures in collective-risk social dilemmas , 2012, ArXiv.

[14]  Attila Szolnoki,et al.  Topology-independent impact of noise on cooperation in spatial public goods games. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[16]  G. Wergen,et al.  Records in stochastic processes—theory and applications , 2012, 1211.6005.

[17]  Arne Traulsen,et al.  Exploration dynamics in evolutionary games , 2009, Proceedings of the National Academy of Sciences.

[18]  Long Wang,et al.  Interaction stochasticity supports cooperation in spatial Prisoner's dilemma. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  王龙,et al.  Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma , 2010 .

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

[21]  C. Hauert,et al.  Punishing and abstaining for public goods , 2006, Proceedings of the National Academy of Sciences.