Effects of strategy-migration direction and noise in the evolutionary spatial prisoner's dilemma
2009 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 80, no 2, 026108- p.Article in journal (Refereed) Published
Spatialgames are crucial for understanding patterns of cooperation in nature(and to some extent society). They are known to bemore sensitive to local symmetries than, e.g., spin models. Thispaper concerns the evolution of the prisoner's dilemma game onregular lattices with three different types of neighborhoods—the von Neumann,Moore, and kagomé types. We investigate two kinds of dynamicsfor the players to update their strategies (that can beunconditional cooperator or defector). Depending on the payoff difference, anindividual can adopt the strategy of a random neighbor [avoter-model-like dynamics (VMLD)] or impose its strategy on a randomneighbor, i.e., invasion-process-like dynamics (IPLD). In particular, we focus onthe effects of noise, in combination with the strategy dynamics,on the evolution of cooperation. We find that VMLD, comparedto IPLD, better supports the spreading and sustaining of cooperation.We see that noise has nontrivial effects on the evolutionof cooperation: maximum cooperation density can be realized either ata medium noise level, in the limit of zero noiseor in both these regions. The temptation to defect andthe local interaction structure determine the outcome. Especially, in thelow noise limit, the local interaction plays a crucial rolein determining the fate of cooperators. We elucidate these bothby numerical simulations and mean-field cluster approximation methods.
Place, publisher, year, edition, pages
2009. Vol. 80, no 2, 026108- p.
evolution (biological), game theory, lattice theory, numerical analysis, random noise
IdentifiersURN: urn:nbn:se:umu:diva-27020DOI: 10.1103/PhysRevE.80.026108OAI: oai:DiVA.org:umu-27020DiVA: diva2:275626
FunderSwedish Research Council