EVOLUTIONARY GAME DYNAMICS.pdf

Evolutionary game dynamics is the application of population dynamical methods to game theory. It has been introduced by evolutionary biologists, anticipated in part by classical game theorists. In this survey, we present an overview of the many brands of deterministic dynamical systems motivated by evolutionary game theory, including ordinary dierential equations (and, in particular, the replicator equation), dierential inclusions (the best response dynamics), dierence equations (as, for instance, ctitious play) and reaction -diusion systems.