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Effects of encounter in a population of spatial prisoner’s dilemma players

Author

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  • Zhang, Chunyan
  • Zhang, Jianlei
  • Xie, Guangming
  • Wang, Long

Abstract

We study the evolution of cooperation in spatial prisoner’s dilemma games, whereby each player extends its interaction scope by trying to interact with a certain number of encounters randomly chosen from its non-neighbors, in addition to its permanently linked nearest neighbors. Furthermore, the non-neighbors treat the initiative interactions in two scenarios: definitely accepting that from the cooperators, whereas guardedly interacting with defectors with an acceptance probability which may take arbitrary value in [0,1]. Importantly, our results reveal that the proposed encounter mechanism is a potent extrinsic factor that is able to boost cooperation when appropriately adjusting the values of the encounter number and acceptance probability, though rational players would always defect in one-shot encounters, regardless of the action from the counterparts. We hope our studies may help understand that the proposed encounter mechanism is also an important ingredient of a flourishing cooperative society.

Suggested Citation

  • Zhang, Chunyan & Zhang, Jianlei & Xie, Guangming & Wang, Long, 2011. "Effects of encounter in a population of spatial prisoner’s dilemma players," Theoretical Population Biology, Elsevier, vol. 80(3), pages 226-231.
  • Handle: RePEc:eee:thpobi:v:80:y:2011:i:3:p:226-231
    DOI: 10.1016/j.tpb.2011.06.007
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    References listed on IDEAS

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    1. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    2. 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.
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    Cited by:

    1. Jianlei Zhang & Chunyan Zhang & Tianguang Chu & Franz J Weissing, 2014. "Cooperation in Networks Where the Learning Environment Differs from the Interaction Environment," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-8, March.
    2. Olatunji Abdul Shobande & Mobolaji Daniel Akinbomi, 2020. "Competition dynamics in Nigerian aviation industry: a game theoretic approach," Future Business Journal, Springer, vol. 6(1), pages 1-8, December.

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