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The Evolution of Fairness under an Assortative Matching Rule in the Ultimatum Game

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  • Shirata, Yasuhiro
  • 白田, 康洋

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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Suggested Citation

  • Shirata, Yasuhiro & 白田, 康洋, 2008. "The Evolution of Fairness under an Assortative Matching Rule in the Ultimatum Game," Discussion Papers 2008-12, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2008-12
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    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/16910/070econDP08-12.pdf
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    References listed on IDEAS

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    1. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
    2. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    3. Mendes, Rute & van den Berg, Gerard J. & Lindeboom, Maarten, 2010. "An empirical assessment of assortative matching in the labor market," Labour Economics, Elsevier, vol. 17(6), pages 919-929, December.
    4. 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.
    5. 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.
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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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