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Nash equilibria for non-binary choice rules

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  • José Alcantud
  • Carlos Alós-Ferrer

Abstract

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Suggested Citation

  • José Alcantud & Carlos Alós-Ferrer, 2007. "Nash equilibria for non-binary choice rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(3), pages 455-464, February.
  • Handle: RePEc:spr:jogath:v:35:y:2007:i:3:p:455-464
    DOI: 10.1007/s00182-006-0060-3
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    References listed on IDEAS

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    1. Crawford, Vincent P., 1990. "Equilibrium without independence," Journal of Economic Theory, Elsevier, vol. 50(1), pages 127-154, February.
    2. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    3. Osborne, Martin J & Rubinstein, Ariel, 1998. "Games with Procedurally Rational Players," American Economic Review, American Economic Association, vol. 88(4), pages 834-847, September.
    4. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    5. Alcantud, J. C. R., 2002. "Non-binary choice in a non-deterministic model," Economics Letters, Elsevier, vol. 77(1), pages 117-123, September.
    6. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Alcantud, J.C.R., 2008. "Mixed choice structures, with applications to binary and non-binary optimization," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 242-250, February.
    2. Monica Patriche, 2017. "Existence of the Equilibrium in Choice," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 158-171, October.
    3. Naqvi, Nadeem, 2012. "Impossibility of interpersonal social identity diversification under binary preferences," MPRA Paper 41365, University Library of Munich, Germany.

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    More about this item

    Keywords

    Non-cooperative games; Non-binary choice; SSB preferences; C60; C72; D83;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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