A minimal diversity game is an n player strategic form game in which each player has pure strategies at his disposal. The payoff to each player is always 1, unless all players select the same pure strategy, in which case all players receive zero payoff. Such a game has a unique isolated...

A minimal diversity game is an n player strategic form game in which each player has m pure strategies at his disposal. The payoff to each player is always 1, unless all players select the same pure strategy, in which case all players receive zero payoff. Such a game has a unique isolated...

Perfect information games have a particularly simple structure of equilibria in the associated normal form. For generic such games each of the finitely many connected components of Nash equilibria is contractible. For every perfect information game there is a unique connected and contractible...

Intuition suggests that in repeated games evolution leads to e fficient outcomes, we prove this result. Actions are used as implicit messages suggesting better ways to coordinate but also, in a subtler way, to assign diff erent roles to players. This allows to endogenously break the symmetries...