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Properties of Dual Reduction

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Author Info
Yannick Viossat (LEEP - Laboratoire d'econometrie de l'école polytechnique - CNRS : UMR7657 - Polytechnique - X)
Abstract

Nous étudions les propriétés de la réduction duale : une technique de réduction des jeux finis qui permet d'opérer une sélection entre les équilibres corrélés. Nous montrons que le processus de réduction est indépendant des fonctions d'utilités choisies pour représenter les préférences des agents et que les jeux à deux joueurs ont génériquement une unique réduction duale pleine. De plus, dans une réduction duale pleine, toutes les stratégies et tous les profils de stratégie qui ne sont jamais jouées dans des équilibres corrélés sont éliminées. Nous étudions les propriétés supplémentaires qu'a la réduction duale dans plusieurs classes de jeux et nous comparons la réduction duale à d'autres concepts de raffinement des équilibre corrélés. Enfin, nous passons en revue et relions les différentes preuves d'existence des équilibres corrélés fondées sur la programmation linéaire.

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Paper provided by HAL in its series Working Papers with number hal-00242992_v1.

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Date of creation: 2003
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Handle: RePEc:hal:wpaper:hal-00242992_v1

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Related research
Keywords: Réduction duale; Equilibres corrélés; Raffinement;

References listed on IDEAS
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  1. Myerson, Roger B., 1997. "Dual Reduction and Elementary Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 183-202, October. [Downloadable!] (restricted)
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  2. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  3. Robert W. Rosenthal, 1973. "Correlated Equilibria in Some Classes of Two-Person Games," Discussion Papers 45, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  4. Dhillon, Amrita & Mertens, Jean Francois, 1996. "Perfect Correlated Equilibria," Journal of Economic Theory, Elsevier, vol. 68(2), pages 279-302, February. [Downloadable!] (restricted)
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  5. Myerson, R B, 1986. "Acceptable and Predominant Correlated Equilibria," International Journal of Game Theory, Springer, vol. 15(3), pages 133-54.
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  6. Nau, Robert F. & McCardle, Kevin F., 1990. "Coherent behavior in noncooperative games," Journal of Economic Theory, Elsevier, vol. 50(2), pages 424-444, April. [Downloadable!] (restricted)
  7. Von Stengel, Bernhard, 2002. "Computing equilibria for two-person games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 45, pages 1723-1759 Elsevier. [Downloadable!] (restricted)
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This page was last updated on 2009-11-28.


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