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

Author

Listed:
  • Ji, M.
  • Xu, C.
  • Zheng, Da-Fang
  • Hui, P.M.

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)c

Suggested Citation

  • Ji, M. & Xu, C. & Zheng, Da-Fang & Hui, P.M., 2010. "Enhanced cooperation and harmonious population in an evolutionary N-person snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1071-1076.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:5:p:1071-1076
    DOI: 10.1016/j.physa.2009.11.017
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    Cited by:

    1. Wettergren, Thomas A., 2021. "Replicator dynamics of an N-player snowdrift game with delayed payoffs," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Li, Kun & Mao, Yizhou & Wei, Zhenlin & Cong, Rui, 2021. "Pool-rewarding in N-person snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Wang, Mengyao & Pan, Qiuhui & He, Mingfeng, 2020. "The effect of individual attitude on cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).

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