Enhanced cooperation and harmonious population in an evolutionary N-person snowdrift game

M. Ji, C. Xu, Da-Fang Zheng and P.M. Hui

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 5, 1071-1076

Abstract: The N-person evolutionary snowdrift game (NESG) is generalized to study the effects of the additional benefit to all agents in a competing group of size N resulting from an earlier completion of a task when more agents are willing to share the work. Following replicator dynamics, an equation that can be used to solve for the steady state frequency of cooperation x∗ in a well-mixed population as a function of the parameters representing the cost-to-benefit ratio c/b, additional reward w/b, and N is derived. Cooperation is enhanced in general for w≠0 and a stable state with all cooperative agents (AllC state) emerges for small groups N and small c/b. In contrast, such a harmonious AllC state does not exist in the original NESG for c≠0. The condition for the existence of an AllC state is estimated to be (N−1)cKeywords: N-person snowdrift game; Evolutionary system; Replicator dynamics (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:5:p:1071-1076

DOI: 10.1016/j.physa.2009.11.017

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