A Minimal Test for Convex Games and the Shapley Value
AbstractA set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.
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Bibliographic InfoPaper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 2001:2.
Length: 8 pages
Date of creation: 01 Feb 2001
Date of revision:
Contact details of provider:
Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
Web page: http://www.nek.uu.se/
More information through EDIRC
Convex game; unanimity game; Shapley value; axiomatization;
Other versions of this item:
- Voorneveld, M. & Grahn, S., 2001. "A Minimal Test for Convex Games and the Shapley Value," Papers 2001:02, Uppsala - Working Paper Series.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2003. "On three Shapley-like solutions for cooperative games with random payoffs," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142543, Tilburg University.
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs," Discussion Paper 2000-73, Tilburg University, Center for Economic Research.
- Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
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