In this paper, we analyze the long run dynamics of a multi-agent game played on a onedimensional 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.
Imitation and local interactions: Long run equilibrium selection / Vicario E.. - In: GAMES. - ISSN 2073-4336. - ELETTRONICO. - 12:(2021), pp. 30-47. [10.3390/g12020030]
Imitation and local interactions: Long run equilibrium selection
Vicario E.
2021
Abstract
In this paper, we analyze the long run dynamics of a multi-agent game played on a onedimensional 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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.