Language is a powerful coordination device. We generalize the cheap-talk approach to pre-play communication by way of introducing a meaning correspondence between messages and actions, and by postulating two axioms met by natural languages. Players have a lexicographic preference, second to...

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...

Game theoretic models of voter turnout have recently fallen into disrepute because the crucial ingredient of the model, the probability of being pivotal for an individual voter, is infinitesimal in large elections. Moreover such models are plagued by the problem of multiple equilibria. We show...