Correlated equilibrium in evolutionary models with subpopulations
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Lenzo, J; Sarver, T
Published Date
- August 1, 2006
Published In
Volume / Issue
- 56 / 2
Start / End Page
- 271 - 284
Electronic International Standard Serial Number (EISSN)
- 1090-2473
International Standard Serial Number (ISSN)
- 0899-8256
Digital Object Identifier (DOI)
- 10.1016/j.geb.2005.08.012
Citation Source
- Scopus