We first analyse what a conceptual definition of ordinality for non cooperative games should be. The resulting concept is highly abstract and apparently unmanageable. Nevertheless we obtain in a second part a very simple and fully operational characterization. In the last part, this is used to...

The restriction of an essential mapping to the inverse image of a simplex of arbitrary dimension is still essential. Copyright Springer-Verlag 2004

Characterisations of stable equilibria in terms of the best reply correspondence are given. Copyright Springer-Verlag 2004

We prove here the existence of a value (of norm 1) on the spaces ′N A and even ′A N, the closure in the variation distance of the linear space spanned by all games f∘μ, where μ is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0,1] which...

We consider an infinitely repeated two-person zero-sum game with incomplete information on one side, in which the maximizer is the (more) informed player. Such games have value v\infty (p) for all 0\leqp\leq1. The informed player can guarantee that all along the game the average payoff per stage...

We exhibit a general class of interactive decision situations in which all the agents benefit from more information. This class includes as a special case the classical comparison of statistical experiments à la Blackwell. Copyright Springer-Verlag 2003