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 - Working Paper Series in its series Papers with number 2001:02.
Length: 8 pages
Date of creation: 2001
Date of revision:
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Postal: UPPSALA UNIVERSITY, DEPARTMENT OF ECONOMICS, S-751 20 UPPSALA SWEDEN.
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
Web page: http://www.nek.uu.se/
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GAME THEORY ; ECONOMIC MODELS;
Other versions of this item:
- Voorneveld, Mark & Grahn, Sofia, 2001. "A Minimal Test for Convex Games and the Shapley Value," Working Paper Series 2001:2, Uppsala University, Department of Economics.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000.
"On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs,"
2000-73, Tilburg University, Center for Economic Research.
- Judith Timmer & Peter Borm & Stef Tijs, 2004. "On three Shapley-like solutions for cooperative games with random payoffs," International Journal of Game Theory, Springer, vol. 32(4), pages 595-613, 08.
- 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.
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- Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
- O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
- S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
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