Abstract:
A Nash equilibrium of a game in extensive form is a sequential equilibrium in mixed strategies if it can be approximated through equilibria of close-by games with slightly perturbed payoffs and small-probability behavioral types. We show that sequential equilibria in mixed strategies are equivalent to (i) weakly sequential equilibria (Reny, 1992), (ii) normal-form perfect equilibria (Selten, 1975) in games with generic payoffs, and (iii) purifiable Nash equilibria (Harsanyi, 1973). A corollary of our results is that extensive-form perfect equilibria are normal-form perfect equilibria in games with generic payoffs.
