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Evolutionary Dynamics for Large Populations in Games with Multiple Backward Induction Equilibria | The Federmann Center for the Study of Rationality

Evolutionary Dynamics for Large Populations in Games with Multiple Backward Induction Equilibria

Abstract:

This work follows "Evolutionary dynamics and backward induction" (Hart [2000]) in the study of dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large. Under the assumption that there is a single backward induction (or subgame perfect) equilibrium of a perfect information game, Hart [2000] proved that this point is the only stable state. In this work, we examine the case where there are multiple backward induction equilibria.

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