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Nash Equilibria In 2 × 2 × 2 Trimatrix Games With Identical Anonymous Best-Replies

Author

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  • CARLOS GONZÁLEZ-ALCÓN

    (Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna. Campus de Anchieta, 38200 La Laguna (Tenerife), Spain)

  • PETER BORM

    (CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands)

  • RUUD HENDRICKX

    (CentER and Department of Organization and Strategy, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands)

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.

Suggested Citation

  • Carlos González-Alcón & Peter Borm & Ruud Hendrickx, 2014. "Nash Equilibria In 2 × 2 × 2 Trimatrix Games With Identical Anonymous Best-Replies," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1-9.
    • Handle: RePEc:wsi:igtrxx:v:16:y:2014:i:04:n:s0219198914500157
    DOI: 10.1142/S0219198914500157
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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; 91A06; 91A10;
    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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