Axiomatization of the Shapley value using the balanced cycle contributions property |
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Authors: | Yoshio Kamijo Takumi Kongo |
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Institution: | 1. Faculty of Political Science and Economics, Waseda University, 1-6-1, Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan 2. Graduate School of Economics, Waseda University, 1-6-1, Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan
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Abstract: | This paper presents an axiomatization of the Shapley value. The balanced cycle contributions property is the key axiom in
this paper. It requires that, for any order of all the players, the sum of the claims from each player against his predecessor
is balanced with the sum of the claims from each player against his successor. This property is satisfied not only by the
Shapley value but also by some other values for TU games. Hence, it is a less restrictive requirement than the balanced contributions
property introduced by Myerson (International Journal of Game Theory 9, 169–182, 1980). |
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