A value on ′AN

Abstract.

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 satisfies a much weaker continuity at zero and one.