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Nash Equilibria in 2 × 2 × 2 Trimatrix Games with Identical Anonymous Best-Replies

Author

Listed:
  • Gonzalez-Alcon, C.
  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

  • Hendrickx, R.L.P.

    (Tilburg University, Center For Economic Research)

Abstract

This paper introduces the class of 2 × 2 × 2 trimatrix games with identical anonymous best-replies. For this class a complete classification on the basis of the Nash equilibrium set is provided.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Gonzalez-Alcon, C. & Borm, P.E.M. & Hendrickx, R.L.P., 2011. "Nash Equilibria in 2 × 2 × 2 Trimatrix Games with Identical Anonymous Best-Replies," Discussion Paper 2011-138, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:455a0882-9863-4da9-a260-5bc9ba8a0f7a
    as

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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/1378205/2011-138.pdf
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    References listed on IDEAS

    as
    1. Carlos González-Alcón & Peter Borm & Ruud Hendrickx & Kim Kuijk, 2007. "A taxonomy of best-reply multifunctions in 2×2×2 trimatrix games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(2), pages 297-306, December.
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    Cited by:

    1. Melkikh, A.V. & Beregov, R.Y. & Sutormina, M.I., 2022. "Strange attractors and nontrivial solutions in games with three players," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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    1. Melkikh, A.V. & Beregov, R.Y. & Sutormina, M.I., 2022. "Strange attractors and nontrivial solutions in games with three players," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Alberto Bressan & Yilun Jiang, 2019. "On the Generic Structure and Stability of Stackelberg Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 840-880, December.

    More about this item

    Keywords

    trimatrix games; Nash equilibrium; best-reply correspondences; symmetric games;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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