IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v131y2020ics0960077919304400.html
   My bibliography  Save this article

The effect of similarity on the evolution of fairness in the ultimatum game

Author

Listed:
  • Zhao, Yakun
  • Xiong, Tianyu
  • Zheng, Lei
  • Li, Yumeng
  • Chen, Xiaojie

Abstract

The ultimatum game (UG) is a useful game model for investigating the evolution of fairness. In this paper, considering the similarity between individuals, we introduce a similarity parameter into the spatial UG and focus on the evolution of the average offer and acceptance threshold. Under this mechanism, individuals can be either more generous or stingier to those who they are similar to. The simulation result shows that the fairness of the system decreases when the strategy is affected by the similarity between players. The greater the influence of similarity, the more fairness is decreased. Equal treatment, hence, is the best way to obtain fairness. Our results may provide some critical insights into the effect of similarity and favoritism on fairness among people.

Suggested Citation

  • Zhao, Yakun & Xiong, Tianyu & Zheng, Lei & Li, Yumeng & Chen, Xiaojie, 2020. "The effect of similarity on the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304400
    DOI: 10.1016/j.chaos.2019.109494
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919304400
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109494?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. Deng, Lili & Tang, Wansheng & Zhang, Jianxiong, 2011. "The coevolutionary ultimatum game on different network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4227-4235.
    3. Zhang, Yanling & Chen, Xiaojie & Liu, Aizhi & Sun, Changyin, 2018. "The effect of the stake size on the evolution of fairness," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 641-653.
    4. 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.
    5. Du, Wen-Bo & Cao, Xian-Bin & Zhao, Lin & Hu, Mao-Bin, 2009. "Evolutionary games on scale-free networks with a preferential selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4509-4514.
    6. Yang, Kai & Huang, Changwei & Dai, Qionglin & Yang, Junzhong, 2018. "The effects of attribute persistence on cooperation in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 23-28.
    7. Miyaji, Kohei & Wang, Zhen & Tanimoto, Jun & Hagishima, Aya & Kokubo, Satoshi, 2013. "The evolution of fairness in the coevolutionary ultimatum games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 13-18.
    8. Thaler, Richard H, 1988. "The Ultimatum Game," Journal of Economic Perspectives, American Economic Association, vol. 2(4), pages 195-206, Fall.
    9. Li, Yumeng & Zhang, Jun & Perc, Matjaž, 2018. "Effects of compassion on the evolution of cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 437-443.
    10. Li, Zhi & Gao, Jia & Suh, Il Hong & Wang, Long, 2013. "Degree-based assignation of roles in ultimatum games on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1885-1893.
    11. Yanling Zhang & Feng Fu, 2018. "Strategy intervention for the evolution of fairness," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-13, May.
    12. Dishon-Berkovits, Miriam & Berkovits, Richard, 2014. "The ultimatum game: Discrete vs. continuous offers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 53-60.
    13. Yang, Han-Xin & Yang, Jing, 2019. "Reputation-based investment strategy promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 886-893.
    14. Wang, Xiaofeng & Chen, Xiaojie & Gao, Jia & Wang, Long, 2013. "Reputation-based mutual selection rule promotes cooperation in spatial threshold public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 181-187.
    15. Yang, Han-Xin & Chen, Xiaojie, 2018. "Promoting cooperation by punishing minority," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 460-466.
    16. 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.
    17. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    18. M. N. Kuperman & S. Risau-Gusman, 2008. "The effect of the topology on the spatial ultimatum game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(2), pages 233-238, March.
    19. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    20. Yang, Han-Xin & Rong, Zhihai, 2015. "Mutual punishment promotes cooperation in the spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 230-234.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Deng, Lili & Wang, Hongsi & Wang, Rugen & Xu, Ronghua & Wang, Cheng, 2024. "The adaptive adjustment of node weights based on reputation and memory promotes fairness," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Zhang, Yanling & Yang, Shuo & Chen, Xiaojie & Bai, Yanbing & Xie, Guangming, 2023. "Reputation update of responders efficiently promotes the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Zheng, Lei & Li, Youqi & Zhou, Jingsai & Li, Yumeng, 2022. "The effect of celebrity on the evolution of fairness in the ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

    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. Zheng, Lei & Li, Youqi & Zhou, Jingsai & Li, Yumeng, 2022. "The effect of celebrity on the evolution of fairness in the ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Deng, Lili & Wang, Hongsi & Wang, Rugen & Xu, Ronghua & Wang, Cheng, 2024. "The adaptive adjustment of node weights based on reputation and memory promotes fairness," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. Deng, Lili & Zhang, Xingxing & Wang, Cheng, 2021. "Coevolution of spatial ultimatum game and link weight promotes fairness," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. 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).
    5. You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    6. Xiaofeng Wang & Xiaojie Chen & Long Wang, 2020. "Evolution of egalitarian social norm by resource management," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-16, January.
    7. Li, Yumeng & Wang, Hanchen & Du, Wenbo & Perc, Matjaž & Cao, Xianbin & Zhang, Jun, 2019. "Resonance-like cooperation due to transaction costs in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 248-257.
    8. Yanling Zhang & Jian Liu & Aming Li, 2019. "Effects of Empathy on the Evolutionary Dynamics of Fairness in Group-Structured Systems," Complexity, Hindawi, vol. 2019, pages 1-13, November.
    9. Nebiyou Tilahun & David Levinson, 2013. "Selfishness and altruism in the distribution of travel time and income," Transportation, Springer, vol. 40(5), pages 1043-1061, September.
    10. Christian Korth, 2009. "Reciprocity—An Indirect Evolutionary Analysis," Lecture Notes in Economics and Mathematical Systems, in: Fairness in Bargaining and Markets, chapter 0, pages 35-55, Springer.
    11. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    12. Wang, Lu & Ye, Shun-qiang & Jones, Michael C. & Ye, Ye & Wang, Meng & Xie, Neng-gang, 2015. "The evolutionary analysis of the ultimatum game based on the net-profit decision," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 32-38.
    13. M. Christian Lehmann, 2022. "Fairness preferences as a cause of inefficient war," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 6(1), pages 33-36, December.
    14. Mamadou Gueye & Nicolas Quérou & Raphaël Soubeyran, 2018. "Does equity induce inefficiency? An experiment on coordination," Working Papers hal-02790603, HAL.
    15. Bogliacino, Francesco & Codagnone, Cristiano, 2021. "Microfoundations, behaviour, and evolution: Evidence from experiments," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 372-385.
    16. Gueye, Mamadou & Quérou, Nicolas & Soubeyran, Raphael, 2020. "Social preferences and coordination: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 26-54.
    17. Quan, Ji & Tang, Caixia & Wang, Xianjia, 2021. "Reputation-based discount effect in imitation on the evolution of cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    18. Aina, Chiara & Battigalli, Pierpaolo & Gamba, Astrid, 2020. "Frustration and anger in the Ultimatum Game: An experiment," Games and Economic Behavior, Elsevier, vol. 122(C), pages 150-167.
    19. Ernst Fehr & Armin Falk, 1999. "Wage Rigidity in a Competitive Incomplete Contract Market," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 106-134, February.
    20. Khalil, Elias, 2007. "Emotions and International Conflicts: Sociological, Evolutionary and Rational Views," MPRA Paper 2279, University Library of Munich, Germany.

    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:chsofr:v:131:y:2020:i:c:s0960077919304400. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.