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Cooperation in an evolutionary prisoner’s dilemma game with probabilistic strategies

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  • Li, Haihong
  • Dai, Qionglin
  • Cheng, Hongyan
  • Yang, Junzhong

Abstract

In this work, we investigate an evolutionary prisoner’s dilemma game in structured populations with probabilistic strategies instead of the pure strategies of cooperation and defection. We explore the model in details by considering different strategy update rules and different population structures. We find that the distribution of probabilistic strategies patterns is dependent on both the interaction structures and the updating rules. We also find that, when an individual updates her strategy by increasing or decreasing her probabilistic strategy a certain amount towards that of her opponent, there exists an optimal increment of the probabilistic strategy at which the cooperator frequency reaches its maximum.

Suggested Citation

  • Li, Haihong & Dai, Qionglin & Cheng, Hongyan & Yang, Junzhong, 2012. "Cooperation in an evolutionary prisoner’s dilemma game with probabilistic strategies," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1397-1403.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:11:p:1397-1403
    DOI: 10.1016/j.chaos.2012.07.014
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    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Blume, Lawrence E., 2003. "How noise matters," Games and Economic Behavior, Elsevier, vol. 44(2), pages 251-271, August.
    3. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    4. Jeromos Vukov & Francisco C Santos & Jorge M Pacheco, 2011. "Incipient Cognition Solves the Spatial Reciprocity Conundrum of Cooperation," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-5, March.
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    Cited by:

    1. Liu, Yaojun & Liu, Xingwen, 2024. "Promotion of cooperation in evolutionary snowdrift game with heterogeneous memories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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