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...

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...

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