Coordination and equilibrium selection in games: the role of local effects.

ABSTRACT: We study the role of local effects and finite size effects in reaching coordination and in equilibrium selection in two-player coordination games. We investigate three update rules - the replicator dynamics (RD), the best response (BR), and the unconditional imitation (UI). For the pure coordination game with two equivalent strategies we find a transition from a disordered state to coordination for a critical value of connectivity. The transition is system-size-independent for the BR and RD update rules. For the IU it is system-size-dependent, but coordination can always be reached below the connectivity of a complete graph. We also consider the general coordination game which covers a range of games, such as the stag hunt. For these games there is a payoff-dominant strategy and a risk-dom

SUBMITTER: Raducha T 

PROVIDER: S-EPMC8888577 | biostudies-literature | 2022 Mar

REPOSITORIES: biostudies-literature