Social dilemma alleviated by sharing the gains with immediate neighbors

Abstract

We study the evolution of cooperation in the evolutionary spatial prisoner's dilemma game (PDG) and snowdrift game (SG), within which a fraction $\alpha$ of the payoffs of each player gained from direct game interactions is shared equally by the immediate neighbors. The magnitude of the parameter $\alpha$ therefore characterizes the degree of the relatedness among the neighboring players. By means of extensive Monte Carlo simulations as well as an extended mean-field approximation method, we trace the frequency of cooperation in the stationary state. We find that plugging into relatedness can significantly promote the evolution of cooperation in the context of both studied games. Unexpectedly, cooperation can be more readily established in the spatial PDG than that in the spatial SG, given that the degree of relatedness and the cost-to-benefit ratio of mutual cooperation are properly formulated. The relevance of our model with the stakeholder theory is also briefly discussed.

9 pages, 4 figures

References in corpus (15)

• Evolutionary games on graphs
• Evolutionary dynamics of group interactions on structured populations: A review
• Social diversity and promotion of cooperation in the spatial prisoner's dilemma game
• Co-evolution of strategy and structure in complex networks with dynamical linking
• Dynamical Organization of Cooperation in Complex Topologies
• Cooperation enhanced by inhomogeneous activity of teaching for evolutionary Prisoner's Dilemma games
• Evolutionary game dynamics in phenotype space
• Time Scales in Evolutionary Dynamics
• Risk-driven migration and the collective-risk social dilemma
• Cooperation in spatial Prisoner's Dilemma with two types of players for increasing number of neighbors
• Diversity of reproduction time scale promotes cooperation in spatial prisoner's dilemma games
• Cooperation enhanced by the difference between interaction and learning neighborhoods for evolutionary spatial prisoner's dilemma games
• Coveting thy neighbors fitness as a means to resolve social dilemmas
• How Natural Selection Can Create Both Self- and Other-Regarding Preferences, and Networked Minds
• Scarcity may promote cooperation in populations of simple agents

Cited by in corpus (4)

• Boosting cooperation by involving extortion in spatial Prisoner's dilemma
• Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
• Peer pressure: enhancement of cooperation through mutual punishment
• Effects of income redistribution on the evolution of cooperation in spatial public goods games