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Convex games with countable number of players and sequencing situations

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Author Info
Fragnelli, Vito
Llorca, Natividad
Sanchez-Soriano, Joaquin
Tijs, Stef (Tilburg University, Center for Economic Research)

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Abstract

In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games. Some difficulties arise when dealing with these infinite games, especially to tackle the vectors of marginal contributions. In order to solve these problems we use a continuity property. Infinite sequencing situations where the number of jobs is countable infinite and the related cooperative TU games are introduced. It is shown that these infinite games are convex and the marginals associated with some orders turn out to be extreme points of the core.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 119.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:2006119

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Related research
Keywords: 91A12;

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

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References listed on IDEAS
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  1. Borm, P. & Hamers, H. & Hendrickx,, 2001. "Operations research games : a survey," Discussion Paper 45, Tilburg University, Center for Economic Research. [Downloadable!]
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  2. Natividad Llorca & Joaquín Sánchez-Soriano & Stef Tijs & Judith Timmer, 2004. "The core and related solution concepts for infinite assignment games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 12(2), pages 331-350, December. [Downloadable!] (restricted)
  3. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation, Yale University. [Downloadable!]
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  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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