Abstract
AbstractWe introduce a class of infinite dimensional replicator dynamics in the form of nonlinear and non local integrodifferential equations. We study the properties of the steady state of the equation and their connections with Nash equilibria of the game as well as the global stability of the steady state using techniques from the theory of variational inequalities and infinite dimensional dynamical systems.KeywordsNash EquilibriumVariational InequalityMixed StrategyReplicator DynamicStrategy SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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