Extensions of the Diagonal Value

Part of the Theory and Decision Library book series (TDLC, volume 10)


Theorem 18.4 shows that there always exists an Aumann-Shapley value on the space pFNA , 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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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaIsrael
  2. 2.Institute of MathematicsJohannes Kepler UniversityLinzAustria

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