Transition from Gaussian to Levy distributions of stochastic payoff variations in the spatial prisoner's dilemma game

Matjaž Perc
2007 Physical Review E  
We study the impact of stochastic payoff variations with different distributions on the evolution of cooperation in the spatial prisoner's dilemma game. We find that Gaussian-distributed payoff variations are most successful in promoting cooperation irrespective of the temptation to defect. In particular, the facilitative effect of noise on the evolution of cooperation decreases steadily as the frequency of rare events increases. Findings are explained via an analysis of local payoff ranking
more » ... l payoff ranking violations. The relevance of results for economics and sociology is discussed.
doi:10.1103/physreve.75.022101 pmid:17358381 fatcat:vvo2tzigf5g4bkkvmusdjwudue