A value on ′AN

A value on ′AN

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Article ID: iaor20051894
Country: Germany
Volume: 32
Issue: 1
Start Page Number: 109
End Page Number: 120
Publication Date: Jan 2003
Journal: International Journal of Game Theory
Authors: ,
Abstract:

We prove here the existence of a value (of norm 1) on the spaces ′NA and even ′AN, the closure in the variation distance of the linear space spanned by all games ƒ ∘ μ, where μ is a non-atomic, non-negative finitely additive measure of mass 1 and ƒ a real-valued function on [0, 1] which satisfies a much weaker continuity at zero and one.

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