In a Bayesian assessment beliefs are computed from the strategy profile following Bayes’ rule at positive probability information sets and for every subgame. We characterize the set of extensive-forms (extensive-form games without a payoff assignment) for which the sets of Bayesian assessments...

A weakly-Bayesian assessment is computed applying Bayes rule at positive probability information sets. We characterize the set of extensive-forms for which the sets of weakly-Bayesian and consistent assessments coincide. In doing so we disentangle the different restrictions imposed by...

This paper addresses the question of what it takes to obtain a well-defined extensive form game. Without relying on simplifying finiteness or discreteness assumptions, we characterize the class of game trees for which all pure strategy combinations induce unique outcomes. The generality of the...

This paper generalizes the concept of Sequential Equilibrium to allow for ambiguous incomplete information about types or states. We characterize conditions that ensure existence of Sequential Equilibria under ambiguous incomplete information. Under these conditions players form subjective prior...

The paper studies the concept of ``ex post equilibrium" that has recently become popular in literature on auctions, mechanism design and implementation. We ask how one should define ex post equilibrium if one wants to consider extensive games, such as dynamic auctions, and if one wants to...

In Bonanno (Int. J. Game Theory, 42:567-592, 2013) a general notion of perfect Bayesian equilibrium (PBE) was introduced for extensive-form games and shown to be intermediate between subgame-perfect equilibrium and sequential equilibrium. The essential ingredient of the proposed notion is the...