Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set

Manfred Besner

MPRA Paper from University Library of Munich, Germany

Abstract: We present new axiomatic characterizations of five classes of TU-values, the classes of the weighted, positively weighted, and multiweighted Shapley values, random order values, and the Harsanyi set. The axiomatizations are given in parallel, i.e., they differ only in one axiom. In conjunction with marginality, a new property, called coalitional differential dependence, is the key that allows us to dispense with additivity. In addition, we propose new axiomatizations of the above five classes, in which, in part new, different versions of monotonicity, associated with the strong monotonicity in Young (1985), are decisive.

Keywords: Cooperative game; Marginality; Strong monotonicity; Coalitional differential dependence; Weighted Shapley values · Harsanyi set (search for similar items in EconPapers)
JEL-codes: C7 C71 (search for similar items in EconPapers)
Date: 2019-03-15
New Economics Papers: this item is included in nep-gth and nep-mic
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Citations: View citations in EconPapers (1)

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https://mpra.ub.uni-muenchen.de/109331/1/MPRA_paper_93067.pdf revised version (application/pdf)

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