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Assortativity evolving from social dilemmas

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  • Alexandros Rigos
  • Heinrich H. Nax

Abstract

Assortative mechanisms can overcome tragedies of the commons that otherwise result in dilemma situations. Assortativity criteria include genetics (e.g. kin selection), preferences (e.g. homophily), locations (e.g. spatial interaction) and actions (e.g. meritocracy), usually presuming an exogenously fixed matching mechanism. Here, we endogenize the matching process with the aim of investigating how assortativity itself, jointly with cooperation, is driven by evolution. Our main finding is that only full-or-null assortativities turn out to be long-run stable, their relative stabilities depending on the exact incentive structure of the underlying social dilemma. The resulting social loss is evaluated for general classes of dilemma games, thus quantifying to what extent tragedy of the commons may be endogenously overcome.

Suggested Citation

  • Alexandros Rigos & Heinrich H. Nax, 2015. "Assortativity evolving from social dilemmas," Discussion Papers in Economics 15/19, Division of Economics, School of Business, University of Leicester.
  • Handle: RePEc:lec:leecon:15/19
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    Citations

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    Cited by:

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    2. Jiabin Wu, 2019. "Social connections and cultural heterogeneity," Journal of Evolutionary Economics, Springer, vol. 29(2), pages 779-798, April.
    3. Emanuela Migliaccio & Thierry Verdier, 2018. "On the Spatial Diffusion of Cooperation with Endogenous Matching Institutions," Games, MDPI, vol. 9(3), pages 1-27, August.
    4. Wu, Jiabin, 2017. "Political institutions and the evolution of character traits," Games and Economic Behavior, Elsevier, vol. 106(C), pages 260-276.
    5. Martin Kaae Jensen & Alexandros Rigos, 2018. "Evolutionary games and matching rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 707-735, September.
    6. Alger, Ingela & Weibull, Jörgen W. & Lehmann, Laurent, 2020. "Evolution of preferences in structured populations: Genes, guns, and culture," Journal of Economic Theory, Elsevier, vol. 185(C).
    7. Heinrich H. Nax & Ryan O. Murphy & Stefano Duca & Dirk Helbing, 2017. "Contribution-Based Grouping under Noise," Games, MDPI, vol. 8(4), pages 1-23, November.
    8. Tobias Hiller, 2018. "On the Stability of Couples," Games, MDPI, vol. 9(3), pages 1-10, July.
    9. Jiabin Wu, 2016. "Evolving assortativity and social conventions," Economics Bulletin, AccessEcon, vol. 36(2), pages 936-941.
    10. Jiabin Wu, 2021. "Matching markets and cultural selection," Review of Economic Design, Springer;Society for Economic Design, vol. 25(4), pages 267-288, December.
    11. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wu, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Center for Economic Research (RECent) 121, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
    12. Xu, Hedong & Fan, Suohai & Tian, Cunzhi & Xiao, Xinrong, 2019. "Effect of strategy-assortativity on investor sharing games in the market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 211-225.
    13. Yunming Xiao & Bin Wu, 2019. "Close spatial arrangement of mutants favors and disfavors fixation," PLOS Computational Biology, Public Library of Science, vol. 15(9), pages 1-20, September.
    14. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    15. Swami Iyer & Timothy Killingback, 2020. "Evolution of Cooperation in Social Dilemmas with Assortative Interactions," Games, MDPI, vol. 11(4), pages 1-31, September.
    16. Wu, Jiabin, 2018. "Entitlement to assort: Democracy, compromise culture and economic stability," Economics Letters, Elsevier, vol. 163(C), pages 146-148.
    17. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wuz, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Department of Economics 0084, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".

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    More about this item

    Keywords

    cooperation; (co-)evolution; assortativity; democratic consensus;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Z0 - Other Special Topics - - General

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