Potential approach and characterizations of a Shapley value in multi-choice games

Yan-An Hwang and Yu-Hsien Liao

Mathematical Social Sciences, 2008, vol. 56, issue 3, 321-335

Abstract: The main focus of this paper is on the restricted Shapley value for multi-choice games introduced by Derks and Peters [Derks, J., Peters, H., 1993. A Shapley value for games with restricted coalitions. International Journal of Game Theory 21, 351-360] and studied by Klijn et al. [Klijn, F., Slikker, M., Zazuelo, J., 1999. Characterizations of a multi-choice value. International Journal of Game Theory 28, 521-532]. We adopt several characterizations from TU game theory and reinterpret them in the framework of multi-choice games. We generalize the potential approach and show that this solution can be formulated as the vector of marginal contributions of a potential function. Also, we characterize the family of all solutions for multi-choice games that admit a potential. Further, a consistency result is reported.

Keywords: Multi-choice; games; Shapley; value; Potential; Consistency (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:56:y:2008:i:3:p:321-335

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