The set of outcomes that can arise in Bayes Nash equilibria of an incomplete information game where players may or may not have access to more private information is characterized and shown to be equivalent to the set of an incomplete information version of correlated equilibrium, which we call...

We define and characterize a notion of correlated equilibrium for games with incomplete information, which we call Bayes correlated equilibrium: The set of outcomes that can arise in Bayes Nash equilibria of an incomplete information game where players may have access to additional signals...

Perfect Bayesian equilibrium is not a subset of Nash equilibrium. Perfect Bayesian equilibrium requires players to have beliefs that are consistent with the equilibrium strategies of other players. Nash equilibrium does not explicitly specify the beliefs of the players. However, the default...

We examine contemporaneous perfect equilibria, in which a player's actions after every history, evaluated at the point of deviation from the equilibrium, must be within of a best response. This concept implies, but is not implied by Radner's ex ante perfect equilibrium. A strategy profile is a...

In this paper, we fully characterize the Nash Equilibrium in the winner-take-all Bertrand Game, showing that a mixed strategy profile is a Nash Equilibrium, if and only if it is a zero operating profit one, and there exist at least two players whose bids are all unprofitable. Compared with...

In the analysis of normal form games that model strategic interactions between individuals, the Nash equilibrium is a significant contribution. However, this concept has some limits: often, it proposes a collective result undesirable by all and in some cases, this equilibrium is not realizable....

The set of outcomes that can arise in Bayes Nash equilibria of an incomplete information game where players may have access to additional signals beyond the given information structure is equivalent to the set of a version of incomplete information correlated equilibrium which we dub Bayes...

This paper characterizes an equilibrium payoff subset for dynamic Bayesian games as discounting vanishes. Monitoring is imperfect, transitions may depend on actions, types may be correlated and values may be interdependent. The focus is on equilibria in which players report truthfully. The...

We consider a class of equilibrium refinements for finite games in strategic form. The refinements in this family are indexed from least to most restrictive. Proper equilibrium is obtained as a special case within the class; all other concepts are stronger than trembling-hand perfection and...