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Contributions to Game Theory and Management, 2014, Volume 7, Pages 341–348
(Mi cgtm244)
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An axiomatization of the Myerson value
Özer Selçuk, Takamasa Suzuki CentER, Department of Econometrics & Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands
Abstract:
TU-games with communication structure are cooperative games with transferable utility where the cooperation between players is limited by a communication structure represented by a graph on the set of players. On this class of games, the Myerson value is one of the most well-known solutions and it is the Shapley value of the so-called restricted game. In this study we give another form of fairness axiom on the class of TU-games with communication structure so that the Myerson value is uniquely characterized by this fainess axiom with (component) efficiency, a kind of null player property and additivity. The combination is similar to the original characterization of the Shapley value.
Keywords:
Cooperative TU-games, communication structure, Myerson value, Shapley value.
Citation:
Özer Selçuk, Takamasa Suzuki, “An axiomatization of the Myerson value”, Contributions to Game Theory and Management, 7 (2014), 341–348
Linking options:
https://www.mathnet.ru/eng/cgtm244 https://www.mathnet.ru/eng/cgtm/v7/p341
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Abstract page: | 256 | Full-text PDF : | 97 | References: | 33 |
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