Convergence to Equilibrium in Local Interaction Games and Ising Models

dc.creatorMontanari, Andrea
dc.creatorSaberi, Amin
dc.date2008-12-01
dc.date.accessioned2026-07-07T12:08:14Z
dc.date.available2026-07-07T12:08:14Z
dc.descriptionCoordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we consider a two-strategies coordination game played asynchronously between the nodes of a network. Agents behave according to a noisy best-response dynamics. It is known that noise removes the degeneracy among equilibria: In the long run, the ``risk-dominant'' behavior spreads throughout the network. Here we consider the problem of computing the typical time scale for the spread of this behavior. In particular, we study its dependence on the network structure and derive a dichotomy between highly-connected, non-local graphs that show slow convergence, and poorly connected, low dimensional graphs that show fast convergence.
dc.description17 pages, 2 eps figures
dc.identifierhttps://arxiv.org/abs/0812.0198
dc.identifierhttp://arxiv.org/abs/0812.0198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209247
dc.subjectComputer Science and Game Theory
dc.titleConvergence to Equilibrium in Local Interaction Games and Ising Models
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