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Effi cient Formulas and Computational Efficiency for Glove Games

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  • Julia Belau

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Abstract

A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, diff erent concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield diff erent distributions of worth. Moreover, computational eff ort of these values is in general very high. This paper provides effi cient allocation formulas of the component restricted Shapley value and the Owen value for glove games in case of efficient coalitions.

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File URL: http://repec.rwi-essen.de/files/REP_13_456.pdf
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Bibliographic Info

Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0456.

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Length: 12 pages
Date of creation: Dec 2013
Date of revision:
Handle: RePEc:rwi:repape:0456

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Related research

Keywords: Glove game; imbalanced market; imhapley value; owen value; effi ciency; computational complexity;

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  1. Julia Belau, 2011. "Outside Options in Probabilistic Coalition Situations," Ruhr Economic Papers 0236, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  2. Shapley, Lloyd S & Shubik, Martin, 1969. "Pure Competition, Coalitional Power, and Fair Division," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 337-62, October.
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