Besner, Manfred (2019): Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set.
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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.
Item Type: | MPRA Paper |
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Original Title: | Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set |
Language: | English |
Keywords: | Cooperative game; Marginality; Strong monotonicity; Coalitional differential dependence; Weighted Shapley values · Harsanyi set |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games |
Item ID: | 92795 |
Depositing User: | Manfred Besner |
Date Deposited: | 17 Mar 2019 09:33 |
Last Modified: | 02 Oct 2019 11:30 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/92795 |
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Parallel axiomatizations of weighted and multiweighted Shapley values, random order values, and the Harsanyi set. (deposited 15 Mar 2019 17:44)
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