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| Publications [#294375] of Todd Sarver
Journal Articles
- Lenzo, J; Sarver, T, Correlated equilibrium in evolutionary models with subpopulations,
Games and Economic Behavior, vol. 56 no. 2
(August, 2006),
pp. 271-284, ISSN 0899-8256 [doi]
(last updated on 2026/01/16)
Abstract: We study a version of the multipopulation replicator dynamics, where each population is comprised of multiple subpopulations. We establish that correlated equilibrium is a natural solution concept in this setting. Specifically, we show that every correlated equilibrium is equivalent to a stationary state in the replicator dynamics of some subpopulation model. We also show that every interior stationary state, Lyapunov stable state, or limit of an interior solution is equivalent to a correlated equilibrium. We provide an example with a Lyapunov stable limit state whose equivalent correlated equilibrium lies outside the convex hull of the set of Nash equilibria. Finally, we prove that if the matching distribution is a product measure, a state satisfying any of the three conditions listed above is equivalent to a Nash equilibrium. © 2005 Elsevier Inc. All rights reserved.
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