Conventions under heterogeneous choice rules

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See all articles by Jonathan Newton

Jonathan Newton

Kyoto University - Institute of Economic Research

Date Written: May 5, 2019

Abstract

Strategies of players in a population are updated according to the choice 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 choice 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 choice rules for which results on the stochastic stability of conventions are
known.

Keywords: evolution, conventions, heterogeneity, representative agent

JEL Classification: C73

Suggested Citation

Newton, Jonathan, Conventions under heterogeneous choice rules (May 5, 2019). Available at SSRN: https://ssrn.com/abstract=

Jonathan Newton (Contact Author)

Kyoto University - Institute of Economic Research ( email )

Yoshida-Honmachi
Sakyo-ku
Kyoto 606-8501
JAPAN

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