Share opportunity sets and cooperative games

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Share opportunity sets and cooperative games

Author Info

Caprari, E.
Patrone, F.
Pusillo, L.
Tijs, S.
Torre, A. (Tilburg University, Center for Economic Research)

Abstract

In many share problems there is a priori given a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are investigated. The average lexicographic value for share sets and for cooperative games is studied.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 115.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:2006115

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

NEP-ALL-2006-12-01 (All new papers)
NEP-GTH-2006-12-01 (Game Theory)

References listed on IDEAS
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.:

O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June. [Downloadable!] (restricted)
Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July. [Downloadable!] (restricted)
Tijs, Stef, 2005. "The first steps with Alexia, the average lexicographic value," Discussion Paper 123, Tilburg University, Center for Economic Research. [Downloadable!]
Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August. [Downloadable!] (restricted)
S.C. Littlechild & G.F. Thompson, 1977. "Aircraft Landing Fees: A Game Theory Approach," Bell Journal of Economics, The RAND Corporation, vol. 8(1), pages 186-204, Spring. [Downloadable!] (restricted)

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Caprari, E. & Tijs, S.H. & Torre, A., 2008. "Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games," Discussion Paper 2008-8, Tilburg University, Center for Economic Research. [Downloadable!]

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