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The evolution of fairness under an assortative matching rule in the ultimatum game

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  • Yasuhiro Shirata

Abstract

This paper studies how a matching rule affects the evolution of fairness in an ultimatum mini game. Gale et al. [1995] show that only selfish behaviour survives in the deterministic replicator dynamics under the random matching rule. In contrast, this paper shows that, under an assortative matching rule, the fair behaviour may survive at an asymptotically stable state.
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  • Yasuhiro Shirata, 2012. "The evolution of fairness under an assortative matching rule in the ultimatum game," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 1-21, February.
    • Handle: RePEc:spr:jogath:v:41:y:2012:i:1:p:1-21
    DOI: 10.1007/s00182-011-0271-0
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    Cited by:

    1. Takuya Sekiguchi & Hisashi Ohtsuki, 2017. "Fixation Probabilities of Strategies for Bimatrix Games in Finite Populations," Dynamic Games and Applications, Springer, vol. 7(1), pages 93-111, March.
    2. Chai Caichun & Zhu Hailong & Feng Zhangwei, 2018. "Evolutionary Stable Strategies for Supply Chains: Selfishness, Fairness, and Altruism," Journal of Systems Science and Information, De Gruyter, vol. 6(6), pages 532-551, December.
    3. Caichun Chai & Eilin Francis & Tiaojun Xiao, 2021. "Supply chain dynamics with assortative matching," Journal of Evolutionary Economics, Springer, vol. 31(1), pages 179-206, January.
    4. NISHIMURA, Takeshi & 西村, 健 & OKADA, Akira & 岡田, 章 & SHIRATA, Yasuhiro & 白田, 康洋, 2015. "Evolution of Fairness and Group Formation in Multi-Player Ultimatum Games," Discussion Papers 2015-06, Graduate School of Economics, Hitotsubashi University.

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