Abstract

We prove that the Burkill-Cesari integral is a value on a subspace ofACand then discuss its continuity with respect to both theBVand the Lipschitz norm. We provide an example of value on a subspace ofACstrictly containingpNAas well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley’s one, on a subspace ofAC∞.

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