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Conventions under Heterogeneous Behavioural Rules
[Adaptive Play in Multiplayer Bargaining Situations]

Author

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  • Jonathan Newton

Abstract

Strategies of players in a population are updated according to the behavioural rules of agents, where each agent is a player or a coalition of players. It is known that classic results on the stochastic stability of conventions are due to an asymmetry property of the strategy updating process. We show that asymmetry can be defined at the level of the behavioural rule and that asymmetric rules can be mixed and matched whilst retaining asymmetry of the aggregate process. Specifically, we show robustness of asymmetry to heterogeneity within an agent (Alice follows different rules at different times); heterogeneity between agents (Alice and Bob follow different rules); and heterogeneity in the timing of strategy updating. These results greatly expand and convexify the domain of behavioural rules for which results on the stochastic stability of conventions are known.

Suggested Citation

  • Jonathan Newton, 2021. "Conventions under Heterogeneous Behavioural Rules [Adaptive Play in Multiplayer Bargaining Situations]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 2094-2118.
    • Handle: RePEc:oup:restud:v:88:y:2021:i:4:p:2094-2118.
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    File URL: http://hdl.handle.net/10.1093/restud/rdaa063
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    Citations

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    Cited by:

    1. Cui, Zhiwei, 2023. "Linking friction, social coordination and the speed of evolution," Games and Economic Behavior, Elsevier, vol. 140(C), pages 410-430.
    2. Sawa, Ryoji & Wu, Jiabin, 2023. "Statistical inference in evolutionary dynamics," Games and Economic Behavior, Elsevier, vol. 137(C), pages 294-316.
    3. Leonardo Boncinelli & Alessio Muscillo & Paolo Pin, 2022. "Efficiency and Stability in a Process of Teams Formation," Dynamic Games and Applications, Springer, vol. 12(4), pages 1101-1129, December.
    4. Lu, Feifei & Shi, Fei, 2023. "Coordination with heterogeneous interaction constraints," Games and Economic Behavior, Elsevier, vol. 142(C), pages 645-665.
    5. Abigail Barr & Anna Hochleitner & Silvia Sonderegger, 2023. "Does increasing inequality threaten social stability? Evidence from the lab," Discussion Papers 2023-13, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    6. Sawa, Ryoji, 2021. "A stochastic stability analysis with observation errors in normal form games," Games and Economic Behavior, Elsevier, vol. 129(C), pages 570-589.
    7. Arigapudi, Srinivas, 2024. "Transitions between equilibria in Bilingual Games under Probit Choice," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    8. Marcin Pk{e}ski, 2021. "Fuzzy Conventions," Papers 2108.13474, arXiv.org.

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