Correlated equilibrium in evolutionary models with subpopulations

Published

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