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Impact of self-interaction on evolution of cooperation in voluntary prisoner's dilemma game

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  • Niu, Zhenxi
  • Mao, Deming
  • Zhao, Tianyun

Abstract

Voluntary participation, as a simple yet valid mechanism to promote cooperation in game theory, has been received a great deal of attention. In this paper, we introduce self-interaction into voluntary prisoner's dilemma game. In detail, cooperator will gain a fixed additional reward by having an interaction with itself, while defector will obtain nothing through self-interaction and loner don't participate in the game. It is shown that cooperative behavior is remarkably facilitated with increase of additional reward by forming huge clusters for low level of temptation to defect. While for large temptation, the system will fall into cycle dominance of three strategies and self-interaction hardly has impact on the evolution of cooperation compared with traditional version.

Suggested Citation

  • Niu, Zhenxi & Mao, Deming & Zhao, Tianyun, 2018. "Impact of self-interaction on evolution of cooperation in voluntary prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 133-137.
    • Handle: RePEc:eee:chsofr:v:110:y:2018:i:c:p:133-137
    DOI: 10.1016/j.chaos.2018.03.008
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    References listed on IDEAS

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    1. Geng, Yini & Shen, Chen & Guo, Hao & Chu, Chen & Yu, Dalei & Shi, Lei, 2017. "Historical payoff promotes cooperation in voluntary prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 145-149.
    2. Zhenhua Pei & Baokui Wang & Jinming Du, 2016. "Effects of income redistribution on the evolution of cooperation in spatial public goods games," Papers 1611.01531, arXiv.org.
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    4. Francisco C Santos & Jorge M Pacheco & Tom Lenaerts, 2006. "Cooperation Prevails When Individuals Adjust Their Social Ties," PLOS Computational Biology, Public Library of Science, vol. 2(10), pages 1-8, October.
    5. Ding, Chenxi & Wang, Juan & Zhang, Ying, 2016. "Impact of self interaction on the evolution of cooperation in social spatial dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 393-399.
    6. Ma, Yongjuan & Chu, Chen & Chen, Fei & Shen, Chen & Geng, Yini & Shi, Lei, 2018. "Evolutionary dynamics of social dilemmas with asymmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 156-161.
    7. Shen, Chen & Lu, Jun & Shi, Lei, 2016. "Does coevolution setup promote cooperation in spatial prisoner's dilemma game?," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 201-207.
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    Cited by:

    1. Sun, Chengbin & Luo, Chao & Li, Junqiu, 2020. "Aspiration-based co-evolution of cooperation with resource allocation on interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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