Besner, Manfred (2017): Axiomatizations of the proportional Shapley value.
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Abstract
We provide new axiomatic characterizations of the proportional Shapley value, a weighted TU-value with the worths of the singletons as weights. The presented characterizations are proportional counterparts to the famous characterizations of the Shapley value by Shapley (1953b) and Young (1985a). We introduce two new axioms, called proportionality and player splitting respectively. Each of them makes a main difference between the proportional Shapley value and the Shapley value. If the stand-alone worths are plausible weights, the proportional Shapley value is a convincing alternative to the Shapley value, for example in cost allocation. Especially the player splitting property, which states that the players’ payoffs do not change if another player splits into two new players who have the same impact to the game as the original player, justifies the use of the proportional Shapley value in many economic situations.
Item Type: | MPRA Paper |
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Original Title: | Axiomatizations of the proportional Shapley value |
Language: | English |
Keywords: | Cost allocation; Dividends; Proportional Shapley value; (Weighted) Shapley value; Proportionality; Player splitting |
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: | 89193 |
Depositing User: | Manfred Besner |
Date Deposited: | 26 Sep 2018 15:06 |
Last Modified: | 27 Sep 2019 02:12 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/89193 |
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Axiomatizations of the proportional Shapley value. (deposited 29 Nov 2017 14:28)
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Axiomatizations of the proportional Shapley value. (deposited 30 Nov 2017 17:16)
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Axiomatizations of the proportional Shapley value. (deposited 04 Dec 2017 14:24)
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Axiomatizations of the proportional Shapley value. (deposited 04 Dec 2017 14:24)
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Axiomatizations of the proportional Shapley value. (deposited 30 Nov 2017 17:16)