Individuals engage in an ex-ante symmetric situation, in which in addition to a symmetric equilibrium there are also asymmetric equilibria. Individuals can assume one of a finite set of payoff irrelevant publicly observable labels and can condition their action choice on their own assumed label...

In a finite two player game consider the matrix of one player’s payoff difference between any two consecutive pure strategies. Define the half space induced by a column vector of this matrix as the set of vectors that form an obtuse angle with this column vector. We use Farkas’ lemma to show...