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 investigate equilibrium notions in game theory from the revealed preference approach. For extensive game forms with complete information, we derive a set of independent necessary and sufficient conditions for the observed outcomes to be rationalized by subgame perfect Nash equilibrium.

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...