IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v474y2024ics0096300324001814.html
   My bibliography  Save this article

The evolutionary game of emotions considering the influence of reputation

Author

Listed:
  • Bai, Xi
  • Ye, Ye
  • Chen, Tong
  • Xie, Nenggang

Abstract

The influence of reputation and emotions on the evolution of cooperation is acknowledged, but current research predominantly focuses on one aspect. This paper integrates both reputation and emotions to examine their collective impacts on the evolution of cooperation. Initially, we define the expression of individual emotional profiles and emotional reputation. Subsequently, we consider the combined effects of the emotional reputation of an individual's neighbors and their interactive individuals on emotional responses. Further, an emotional transfer activation parameter is introduced. Lastly, we construct an algorithm for the evolutionary game of emotions. Simulation results demonstrate that considering emotional reputation is more conducive to the cooperation. The emotional reputation of interacting individuals has a greater influence on the development of positive emotions and the establishment of collaboration within groups than that of neighboring environments. In heterogeneous networks, considering the emotional reputation of neighbors increases the probability of “free-riding” by unfriendly people. When game parameters are set in favor of betrayal and negative emotions, the system evolves to produce “cautious and friendly people”. Individuals with stable emotions, high sympathy for the weak, and high respect for the strong dominate the group. Furthermore, the individuals' emotional expression towards both the weak and the strong exhibits an evolutionary synchronicity. Compared to other network structures, scale-free networks are more conducive to the evolutionary dominance of emotions of high respect for the strong.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001814
    DOI: 10.1016/j.amc.2024.128709
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324001814
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2024.128709?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    2. Guo, Shiqiang & Wang, Juan & Zhao, Dawei & Xia, Chengyi, 2023. "Role of second-order reputation evaluation in the multi-player snowdrift game on scale-free simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Fernando P. Santos & Francisco C. Santos & Jorge M. Pacheco, 2018. "Social norm complexity and past reputations in the evolution of cooperation," Nature, Nature, vol. 555(7695), pages 242-245, March.
    4. Sally, David, 2001. "On sympathy and games," Journal of Economic Behavior & Organization, Elsevier, vol. 44(1), pages 1-30, January.
    5. Matthew Rabin., 1991. "Incorporating Fairness into Game Theory," Economics Working Papers 91-185, University of California at Berkeley.
    6. Zhou, Tianwei & Ding, Shuai & Fan, Wenjuan & Wang, Hao, 2016. "An improved public goods game model with reputation effect on the spatial lattices," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 130-135.
    7. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    8. Fu, Xiao & Liu, Xuesong & Hu, Yuhan & Huang, Shaoxu, 2023. "Emotion-based renewal strategies to promote cooperation in spatial prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 455(C).
    9. 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.
    10. Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    11. 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).
    12. Yang, Zhengzhi & Zheng, Lei & Perc, Matjaž & Li, Yumeng, 2024. "Interaction state Q-learning promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    13. Deng, Zhilong & Deming, Mao & Dameng, Dai, 2018. "Asymmetric learning ability promotes cooperation in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 88-91.
    14. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    15. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    16. Han, Weiwei & Zhang, Zhipeng & Sun, Junqing & Xia, Chengyi, 2022. "Role of reputation constraints in the spatial public goods game with second-order reputation evaluation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    17. Maria Kleshnina & Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2023. "The effect of environmental information on evolution of cooperation in stochastic games," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    18. Wang, Qun & Wang, Hanchen & Zhang, Zhuxi & Li, Yumeng & Liu, Yu & Perc, Matjaž, 2018. "Heterogeneous investments promote cooperation in evolutionary public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 570-575.
    19. 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).
    20. Wang, Chaoqian & Szolnoki, Attila, 2023. "Inertia in spatial public goods games under weak selection," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    21. Maria Kleshnina & Christian Hilbe & Stepan Simsa & Krishnendu Chatterjee & Martin A. Nowak, 2023. "The effect of environmental information on evolution of cooperation in stochastic games," Post-Print hal-04210205, HAL.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hu, Qi & Jin, Tao & Jiang, Yulian & Liu, Xingwen, 2024. "Reputation incentives with public supervision promote cooperation in evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. Yang, Guoli & Wu, Yu'e & Cavaliere, Matteo, 2024. "Information-driven cooperation on adaptive cyber-physical systems," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    3. Podobnik, Boris & Gabor, Andrijana Musura & Kirbis, Ivona Skreblin, 2019. "Scale-free growth of human society based on cooperation and altruistic punishment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 613-619.
    4. Graf, Caroline & Suanet, Bianca & Wiepking, Pamala & Merz, Eva-Maria, 2023. "Social norms offer explanation for inconsistent effects of incentives on prosocial behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 429-441.
    5. Manapat, Michael L. & Nowak, Martin A. & Rand, David G., 2013. "Information, irrationality, and the evolution of trust," Journal of Economic Behavior & Organization, Elsevier, vol. 90(S), pages 57-75.
    6. Alejandro T. Moreno-Okuno & Alejandro Mosiño, 2017. "A theory of sequential group reciprocity," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 26(1), pages 1-19, December.
    7. Pinghan Liang & Juanjuan Meng, 2023. "Paying it forward: an experimental study on social connections and indirect reciprocity," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 387-417, June.
    8. Zhu, Wenqiang & Pan, Qiuhui & He, Mingfeng, 2022. "Exposure-based reputation mechanism promotes the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    9. Zak, Paul J., 2011. "Moral markets," Journal of Economic Behavior & Organization, Elsevier, vol. 77(2), pages 212-233, February.
    10. Ben-Ner, Avner & Putterman, Louis & Kong, Fanmin & Magan, Dan, 2004. "Reciprocity in a two-part dictator game," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 333-352, March.
    11. Engelmann, Dirk & Fischbacher, Urs, 2009. "Indirect reciprocity and strategic reputation building in an experimental helping game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 399-407, November.
    12. Lv, Shaojie & Wang, Xianjia, 2020. "The impact of heterogeneous investments on the evolution of cooperation in public goods game with exclusion," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    13. Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    14. Gary Bolton & Axel Ockenfels, 2005. "A stress test of fairness measures in models of social utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 957-982, June.
    15. Laura Schmid & Farbod Ekbatani & Christian Hilbe & Krishnendu Chatterjee, 2023. "Quantitative assessment can stabilize indirect reciprocity under imperfect information," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    16. Xiaofei Sophia Pan & Daniel Houser, 2011. "Competition for Trophies Triggers Male Generosity," PLOS ONE, Public Library of Science, vol. 6(4), pages 1-6, April.
    17. Bogliacino, Francesco & Codagnone, Cristiano, 2021. "Microfoundations, behaviour, and evolution: Evidence from experiments," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 372-385.
    18. Quan, Ji & Nie, Jiacheng & Chen, Wenman & Wang, Xianjia, 2022. "Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    19. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    20. Tatsuya Sasaki & Satoshi Uchida & Isamu Okada & Hitoshi Yamamoto, 2024. "The Evolution of Cooperation and Diversity under Integrated Indirect Reciprocity," Games, MDPI, vol. 15(2), pages 1-16, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001814. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.