Characterizations of a multi-choice value |
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| Authors: | Flip Klijn Marco Slikker José Zarzuelo |
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| Affiliation: | (1) Department of Econometrics and CentER, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands (e-mail: F.Klijn@kub.nl), NL;(2) Department of Applied Mathematics, University of Paı′s Vasco, E-48015 Bilbao, Spain, ES |
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| Abstract: | A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. We study the extended Shapley value as proposed by Derks and Peters (1993). Van den Nouweland (1993) provided a characterization that is an extension of Young's (1985) characterization of the Shapley value. Here we provide several other characterizations, one of which is the analogue of Shapley's (1953) original characterization. The three other characterizations are inspired by Myerson's (1980) characterization of the Shapley value using balanced contributions. Received: November 1997/final version: February 1999 |
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| Keywords: | : Multi-choice games Shapley value characterizations balanced contributions |
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