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Convex Interval Games

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Author Info
Alparslan-Gok, S.Z.
Branzei, R.
Tijs, S.H. (Tilburg University, Center for Economic Research)
Abstract

In this paper, convex interval games are introduced and some characterizations are given. Some economic situations leading to convex interval games are discussed. The Weber set and the Shapley value are defined for a suitable class of interval games and their relations with the interval core for convex interval games are established. A square operator is introduced which allows us to obtain interval solutions starting from classical cooperative game theory solutions. It turns out that on the class of convex interval games the square Weber set coincides with the interval core.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-37.

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Date of creation: 2008
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Handle: RePEc:dgr:kubcen:200837

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C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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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.:
  1. 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)
  2. Biswas, A. K. & Parthasarathy, T. & Potters, J. A. M. & Voorneveld, M., 1999. "Large Cores and Exactness," Games and Economic Behavior, Elsevier, vol. 28(1), pages 1-12, July. [Downloadable!] (restricted)
  3. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 9(2), pages 139-199, December. [Downloadable!] (restricted)
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  4. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October. [Downloadable!] (restricted)
  5. Branzei, R. & Dimitrov, D. & Tijs, S.H., 2004. "A new characterization of convex games," Discussion Paper 109, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper 2008-17, Tilburg University, Center for Economic Research. [Downloadable!]
  7. 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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  1. Alparslan-Gok, S.Z. & Branzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper 2008-47, Tilburg University, Center for Economic Research. [Downloadable!]
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