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The emergence of cooperative behavior based on random payoff and heterogeneity of concerning social image

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  • Qian, Jia-Li
  • Zhou, Yin-Xiang
  • Hao, Qing-Yi

Abstract

The heterogeneity among individuals in a group usually leads to the volatility of the individual’s income in the game and the difference in the attention paid to the individual’s social image. This paper proposes a spatial prisoner’s dilemma model with random fluctuations of temptation returns and the social images of individuals considered. The payoff of a defector in the game with a cooperator is set as a random variable. And the social image value of an individual who holds the cooperative strategy is set to a positive value, while the social image value of an individual who holds defective strategy is set to zero. Some individuals in the group care about the social images, while others do not. Social image values and benefits are combined into the fitness of individual. The learning strategy adopted is the combination of optimal fitness and Fermi rule based on return difference.

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  • Qian, Jia-Li & Zhou, Yin-Xiang & Hao, Qing-Yi, 2024. "The emergence of cooperative behavior based on random payoff and heterogeneity of concerning social image," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013073
    DOI: 10.1016/j.chaos.2023.114405
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    1. Suijs, Jeroen & Borm, Peter & De Waegenaere, Anja & Tijs, Stef, 1999. "Cooperative games with stochastic payoffs," European Journal of Operational Research, Elsevier, vol. 113(1), pages 193-205, February.
    2. Zhang, Qinchunxue & Shu, Lan & Jiang, Bichuan, 2023. "Moran process in evolutionary game dynamics with interval payoffs and its application," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    3. Pan, Qiuhui & Wang, Linpeng & He, Mingfeng, 2020. "Social dilemma based on reputation and successive behavior," Applied Mathematics and Computation, Elsevier, vol. 384(C).
    4. 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.
    5. Quan, Ji & Cui, Shihui & Chen, Wenman & Wang, Xianjia, 2023. "Reputation-based probabilistic punishment on the evolution of cooperation in the spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 441(C).
    6. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    7. Li, Wen-Jing & Jiang, Luo-Luo & Perc, Matjaž, 2021. "A limited mobility of minorities facilitates cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    8. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    9. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong & Liu, Geng-Geng, 2018. "Prisoner’s dilemma game on reputation-based weighted network," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 64-68.
    10. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    11. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    12. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
    13. 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.
    14. Quan, Ji & Tang, Caixia & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Reputation evaluation with tolerance and reputation-dependent imitation on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    15. 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.
    16. Li, Cong & Lessard, Sabin, 2020. "Randomized matrix games in a finite population: Effect of stochastic fluctuations in the payoffs on the evolution of cooperation," Theoretical Population Biology, Elsevier, vol. 134(C), pages 77-91.
    17. Gu, Cuiling & Wang, Xianjia & Zhao, Jinhua & Ding, Rui & He, Qilong, 2020. "Evolutionary game dynamics of Moran process with fuzzy payoffs and its application," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    18. Kroumi, Dhaker & Martin, Éloi & Lessard, Sabin, 2022. "Evolution of cooperation with respect to fixation probabilities in multi-player games with random payoffs," Theoretical Population Biology, Elsevier, vol. 145(C), pages 1-21.
    19. Yang, Jian & Li, Jianbin, 2020. "Cooperative game with nondeterministic returns," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 123-140.
    20. Bi, Yan & Yang, Hui, 2023. "Based on reputation consistent strategy times promotes cooperation in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    21. Feng, Meiling & Li, Xuezhu & Zhao, Dawei & Xia, Chengyi, 2023. "Evolutionary dynamics with the second-order reputation in the networked N-player trust game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    22. Ma, Xiaojian & Quan, Ji & Wang, Xianjia, 2021. "Effect of reputation-based heterogeneous investment on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    1. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The impact of reputation-based heterogeneous evaluation and learning on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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