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A vector Lyapunov approach to the stability problem for the n-population continuous time replicator dynamics
by
Zvi Retchkiman Konigsberg
Instituto Politecnico Nacional
In this paper the stability problem for the n-population continuous time replicator dynamics using vector Lyapunov methods is addressed. After introducing the evolutionary stable stategy concept and proving that it is equivalent to being a strict Nash equilibrium, the n-population continuous time replicator dynamics equation is presented. Finally, it is shown that every srict Nash equilibrium implies asymptotic stability via Lyapunov methods.
Date received: March 25, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauj-83.