Extensions of the Diagonal Value
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Theorem 18.4 shows that there always exists an Aumann-Shapley value on the space pFNA ℐ , no matter how the space X and the T∞-tribe. ℐ (generated or not) are chosen. Note that equation (18.6) in this theorem applies only to games of the form υ = f o m where m is a vector T∞ -measure and f : R(m) → ℝ is a continuously differentiable function such that f(0) = 0.
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