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A Generalization Of The Shapley-Ichiishi Result And Its Application To Convex Games

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Author Info
Grahn,Sofia
Kuijpers,Jeroen
Vermeulen,Dries
Voorneveld,Mark (METEOR)

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Abstract

In this paper we present a generalization of the Shapley-Ichiishi result for convex games to the class of all exact games. Then we discuss two applications to the class of convex games. First we show that it can indeed be used to give an alternative proof of the Shapley-Ichiishi result. Secondly we use our generalization to derive the minimal dening system of linear inequalities of the class of convex games.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 033.

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Date of creation: 2003
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Handle: RePEc:dgr:umamet:2003033

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Keywords: Economics ;

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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. 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)
  3. 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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