THE CONSISTENCY PRINCIPLE FOR GAMES IN STRATEGIC FORM

We start with giving an axiomatic characterization of the Nash equilib rium (NE) correspondence in terms of consistency, converse consistency , and one-person rationality. Then axiomatizations are given of the st rong NE correspondence, the coalition-proof NE correspondence and the semi-strong NE. In all these characterizations consistency and suitabl e variants of converse consistency play a role. Finally, the dominant NE correspondence is characterized. We also indicate how to generalize our results to Bayesian and extensive games.