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A Minimal Test for Convex Games and the Shapley Value

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Author Info
Voorneveld, M.
Grahn, S.

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Abstract

A 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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Publisher Info
Paper provided by Uppsala - Working Paper Series in its series Papers with number 2001:02.

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Length: 8 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:fth:uppaal:2001:02

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Related research
Keywords: GAME THEORY ; ECONOMIC MODELS;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

References listed on IDEAS
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  1. 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)
  2. Timmer, J. & Borm, P. & Tijs, S., 2000. "On three Shapley-like solutions for cooperative games with random payoffs," Discussion Paper 73, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. 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)
  4. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June. [Downloadable!] (restricted)
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