We consider a Battle of the Sexes game with two types, High and Low, for each player and allow cheap talk regarding players' types before the game. We prove that the unique fully revealing symmetric cheap talk equilibrium exists for a low range of prior probability of the High-Type. This...

In the Crawford-Sobel (uniform, quadratic utility) cheap-talk model, we consider a simple mediation scheme (a communication device) in which the informed agent reports one of the N possible elements of a partition to the mediator and then the mediator suggests one of the N actions to the...

We consider a Battle of the Sexes game with incomplete information and allow cheap talk regarding players' private information before the game is played. We prove that the unique fully revealing symmetric cheap talk equilibrium has a desirable coordination property. Such coordination can also be...

If a solution (on a closed family of games) satisfies dummy axiom (DUM) and independance of irrelevant strategies (IIS) then it also satisfies consistency (CONS) (proposition 2.21, Peleg and Tijs, 1996). The converse of this proposition is not true: CONS implies neither DUM nor IIS as shown in...

We study the concept of correlated equilibrium within the framework of social situations (Greenberg 1990) and find that the unique optimistic stable standard of behavior (OSSB) of an appropriately defined correlated situation is nothing but the set of correlated equilibria. We generalize this...