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Imitation and Local Interactions: Long Run Equilibrium Selection

Department of Economics and Management, University of Florence, Via Delle Pandette 9, 50127 Florence, Italy
Academic Editors: Ulrich Berger and Ennio Bilancini
Games 2021, 12(2), 30; https://doi.org/10.3390/g12020030
Received: 30 January 2021 / Revised: 19 March 2021 / Accepted: 26 March 2021 / Published: 1 April 2021
(This article belongs to the Special Issue Social Coordination Games)
In this paper, we analyze the long run dynamics of a multi-agent game played on a one-dimensional lattice with periodic boundary conditions, i.e., a ring. Agents repeatedly play a 2 × 2 coordination game with neighbors where the payoff dominant action and the risk dominant action are distinct. Necessary and sufficient conditions for both the actions to be the unique long run equilibrium are provided. The result is obtained through the application of the radius and modified coradius technique. View Full-Text
Keywords: local interactions; coordination games; learning; mutations local interactions; coordination games; learning; mutations
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MDPI and ACS Style

Vicario, E. Imitation and Local Interactions: Long Run Equilibrium Selection. Games 2021, 12, 30. https://doi.org/10.3390/g12020030

AMA Style

Vicario E. Imitation and Local Interactions: Long Run Equilibrium Selection. Games. 2021; 12(2):30. https://doi.org/10.3390/g12020030

Chicago/Turabian Style

Vicario, Eugenio. 2021. "Imitation and Local Interactions: Long Run Equilibrium Selection" Games 12, no. 2: 30. https://doi.org/10.3390/g12020030

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