Characterizations of a multi-choice value

José Zarzuelo (), Marco Slikker and Flip Klijn

International Journal of Game Theory, 1999, vol. 28, issue 4, 532 pages

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.

Keywords: Multi-choice; games; ·; Shapley; value; ·; characterizations; ·; balanced; contributions (search for similar items in EconPapers)
Date: 1999-12-15
Note: Received: November 1997/final version: February 1999
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Citations: View citations in EconPapers (31)

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Working Paper: Characterizations of a Multi-Choice Value (1997)
Working Paper: Characterizations of a Multi-Choice Value (1997)
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