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Cooperation among mobile individuals with payoff expectations in the spatial prisoner’s dilemma game

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  • Lin, Hai
  • Yang, Dong-Ping
  • Shuai, J.W.

Abstract

We propose a model to address the problem how the evolution of cooperation in a social system depends on the spatial motion and the payoff expectation. In the model, if the actual payoff of an individual is smaller than its payoff expectation, the individual will either move to a new site or simply reverse its current strategy. It turns out that migration of dissatisfied individuals with relatively low expectation level leads to the aggregation of cooperators and promotion of cooperation. Moreover, under appropriate parameters migration leads to some interesting spatiotemporal patterns which seems not to have been reported in previously studied spatial games. Furthermore, it also found that a population with constant expectation can better favor cooperative behavior than a population with adaptive aspiration.

Suggested Citation

  • Lin, Hai & Yang, Dong-Ping & Shuai, J.W., 2011. "Cooperation among mobile individuals with payoff expectations in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 153-159.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:1:p:153-159
    DOI: 10.1016/j.chaos.2011.01.004
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    References listed on IDEAS

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    Cited by:

    1. Wang, Yi-Ling, 2013. "Learning ability driven by majority selection enhances spatial reciprocity in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 96-100.
    2. Wang, Lei & Xia, Chengyi & Wang, Li & Zhang, Ying, 2013. "An evolving Stag-Hunt game with elimination and reproduction on regular lattices," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 69-76.
    3. Xia, Ke, 2021. "The characteristics of average abundance function of multi-player threshold public goods evolutionary game model under redistribution mechanism," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Kyle Weishaar & Igor V. Erovenko, 2022. "The Evolution of Cooperation in Two-Dimensional Mobile Populations with Random and Strategic Dispersal," Games, MDPI, vol. 13(3), pages 1-16, May.
    5. He, Zhixue & Geng, Yini & Shen, Chen & Shi, Lei, 2020. "Evolution of cooperation in the spatial prisoner’s dilemma game with extortion strategy under win-stay-lose-move rule," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    6. Yang, Yixin & Pan, Qiuhui & He, Mingfeng, 2023. "The influence of environment-based autonomous mobility on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    7. Li, Yan & Ye, Hang, 2015. "Effect of migration based on strategy and cost on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 156-165.
    8. Xia, Chengyi & Miao, Qin & Zhang, Juanjuan, 2013. "Impact of neighborhood separation on the spatial reciprocity in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 22-30.
    9. Cui, Guang-Hai & Li, Ming-Chu & Fan, Xin-Xin & Deonauth, Nakema & Wang, Zhen, 2014. "Optimism when winning and cautiousness when losing promote cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 181-189.
    10. Xu, Liang & Cao, Xianbin & Du, Wenbo & Li, Yumeng, 2018. "Effects of taxation on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 63-68.
    11. Xia, Ke, 2021. "Average abundance function of multi-player threshold public goods without initial endowment evolutionary game model under differential aspiration levels and redistribution mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    12. Xia, Chengyi & Wang, Juan & Wang, Li & Sun, Shiwen & Sun, Junqing & Wang, Jinsong, 2012. "Role of update dynamics in the collective cooperation on the spatial snowdrift games: Beyond unconditional imitation and replicator dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1239-1245.
    13. Wang, Yi-Ling, 2013. "Asymmetric evaluation of fitness enhances spatial reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 76-81.
    14. Wang, Zhen & Wu, Bin & Li, Ya-peng & Gao, Hang-xian & Li, Ming-chu, 2013. "Does coveting the performance of neighbors of thy neighbor enhance spatial reciprocity?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 28-34.
    15. Zhang, Gui-Qing & Hu, Tao-Ping & Yu, Zi, 2016. "An improved fitness evaluation mechanism with noise in prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 31-36.
    16. Xie, Kai & Liu, Xingwen & Wang, Huazhang & Jiang, Yulian, 2023. "Multi-heterogeneity public goods evolutionary game on lattice," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    17. Wu, Yu’e & Zhang, Zhipeng & Chang, Shuhua, 2019. "Reciprocal reward promotes the evolution of cooperation in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 230-236.
    18. Igor V. Erovenko, 2019. "The Evolution of Cooperation in One-Dimensional Mobile Populations with Deterministic Dispersal," Games, MDPI, vol. 10(1), pages 1-12, January.
    19. Xie, Kai & Liu, Xingwen & Chen, Hao & Yang, Jun, 2022. "Preferential selection and expected payoff drive cooperation in spatial voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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