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Pairwise imitation and evolution of the social contract

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  • Nicola Campigotto

    (University of Verona)

Abstract

This paper studies the evolution of conventions in Stag Hunt games when agents’ behaviour depends on pairwise payoff comparisons. The results of two imitative decision rules are compared with each other and with those obtained when agents myopically best respond to the distribution of play. These rules differ in terms of their rationale, their requirements, and the extent to which they make individuals learn from others. Depending on payoffs and the interaction process being considered, best response learning can cause either the rewarding All Stag equilibrium or the inefficient All Hare equilibrium to emerge as the long-run convention. In contrast, pairwise imitation favours the emergence of the Pareto-inferior equilibrium. This result is robust to assuming assortative matching and some heterogeneity in decision rules.

Suggested Citation

  • Nicola Campigotto, 2021. "Pairwise imitation and evolution of the social contract," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1333-1354, September.
  • Handle: RePEc:spr:joevec:v:31:y:2021:i:4:d:10.1007_s00191-020-00714-3
    DOI: 10.1007/s00191-020-00714-3
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    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    3. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    4. repec:esx:essedp:747 is not listed on IDEAS
    5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    6. Theodore C. Bergstrom, 2003. "The Algebra of Assortative Encounters and the Evolution of Cooperation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 211-228.
    7. Abhimanyu Khan, 2014. "Coordination under global random interaction and local imitation," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 721-745, November.
    8. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    9. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    10. Ellison, Glenn, 1997. "Learning from Personal Experience: One Rational Guy and the Justification of Myopia," Games and Economic Behavior, Elsevier, vol. 19(2), pages 180-210, May.
    11. Alger, Ingela & Weibull, Jörgen W., 2016. "Evolution and Kantian morality," Games and Economic Behavior, Elsevier, vol. 98(C), pages 56-67.
    12. Ennio Bilancini & Leonardo Boncinelli, 2020. "The evolution of conventions under condition-dependent mistakes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 497-521, March.
    13. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    14. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    15. Francisco Cabo & Ana García-González, 2019. "Interaction and imitation in a world of Quixotes and Sanchos," Journal of Evolutionary Economics, Springer, vol. 29(3), pages 1037-1057, July.
    16. Robert Sugden, 2005. "Rights, Co-operation and Welfare," Palgrave Macmillan Books, in: The Economics of Rights, Co-operation and Welfare, chapter 9, pages 170-182, Palgrave Macmillan.
    17. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    18. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    19. Jung-Kyoo Choi, 2008. "Play locally, learn globally: group selection and structural basis of cooperation," Journal of Bioeconomics, Springer, vol. 10(3), pages 239-257, December.
    20. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    21. Tsakas Nikolas, 2014. "Imitating the Most Successful Neighbor in Social Networks," Review of Network Economics, De Gruyter, vol. 12(4), pages 403-435, February.
    22. Robert Sugden, 2005. "The Economics of Rights, Co-operation and Welfare," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-53679-1, March.
    23. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, April.
    24. Bilancini, Ennio & Boncinelli, Leonardo & Wu, Jiabin, 2018. "The interplay of cultural intolerance and action-assortativity for the emergence of cooperation and homophily," European Economic Review, Elsevier, vol. 102(C), pages 1-18.
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    More about this item

    Keywords

    Conventions; Imitation; Learning; Stag hunt; Stochastic stability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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