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Direct emotional interaction in prisoner's dilemma game

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  • Lu, Wen
  • Liang, Shu

Abstract

In this paper, we develop a prisoner's dilemma game model with three types of strategies and six types of emotions. We propose a direct emotional interaction mechanism considering memory effect in which a player's favorability serves as an index of emotions and directly impacts payoffs and emotions. Our model enables that individuals gradually increase the tendency to loneliness or defection in the face of unfriendly people, and increase the tendency to cooperation in the face of friendly people. By simulations, we further show that both direct emotional interaction and memory have the effect of enhancing the competitive advantage of cooperators and individuals with friendly emotions. Besides, the proportion of friendly groups increases if the degree of direct emotional interaction increases. Also, the impact of memory on cooperation has a non-monotonic characteristic. As a result, direct emotional interaction with memory effect leads to the improvement of social average favorability, increases the number of friendly populations, improves the overall level of social cooperation, and enables friendly people to gain advantages in evolution. Therefore, our work contributes to understanding the role of emotional factors in the evolution of social cooperation.

Suggested Citation

  • Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
  • Handle: RePEc:eee:apmaco:v:458:y:2023:i:c:s009630032300423x
    DOI: 10.1016/j.amc.2023.128254
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    1. Li, Songjie & Bao, Wei & Dai, Yayun & Ye, Ye & Xie, Nenggang, 2022. "Emotional game and the evolution of cooperation considering the effects of reputation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    2. Ye, Wenxing & Feng, Weiying & Lü, Chen & Fan, Suohai, 2017. "Memory-based prisoner’s dilemma game with conditional selection on networks," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 31-37.
    3. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. John M. McNamara & Zoltan Barta & Alasdair I. Houston, 2004. "Variation in behaviour promotes cooperation in the Prisoner's Dilemma game," Nature, Nature, vol. 428(6984), pages 745-748, April.
    6. George, Jennifer M. & Dane, Erik, 2016. "Affect, emotion, and decision making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 136(C), pages 47-55.
    7. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    8. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    9. Wang, Lu & Ye, Shun-Qiang & Cheong, Kang Hao & Bao, Wei & Xie, Neng-gang, 2018. "The role of emotions in spatial prisoner’s dilemma game with voluntary participation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1396-1407.
    10. 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.
    11. You, Tao & Zhang, Hailun & Zhang, Ying & Li, Qing & Zhang, Peng & Yang, Mei, 2022. "The influence of experienced guider on cooperative behavior in the Prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    12. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
    13. Joseph Heffner & Oriel FeldmanHall, 2022. "A probabilistic map of emotional experiences during competitive social interactions," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    14. Luo, Chao & Zhang, Xiaolin & Liu, Hong & Shao, Rui, 2016. "Cooperation in memory-based prisoner’s dilemma game on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 560-569.
    15. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Wang, Rong, 2021. "Effects of emotion on the evolution of cooperation in a spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 411(C).
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    1. Bai, Xi & Ye, Ye & Chen, Tong & Xie, Nenggang, 2024. "The evolutionary game of emotions considering the influence of reputation," Applied Mathematics and Computation, Elsevier, vol. 474(C).

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