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Example of a Finite Game with No Berge Equilibria at All

Author

Listed:
  • Jarosław Pykacz

    (Institute of Mathematics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland)

  • Paweł Bytner

    (Institute of Mathematics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland)

  • Piotr Frąckiewicz

    (Institute of Mathematics, Pomeranian University, 76-200 Słupsk, Poland)

Abstract

The problem of the existence of Berge equilibria in the sense of Zhukovskii in normal-form finite games in pure and in mixed strategies is studied. The example of a three-player game that has Berge equilibrium neither in pure, nor in mixed strategies is given.

Suggested Citation

  • Jarosław Pykacz & Paweł Bytner & Piotr Frąckiewicz, 2019. "Example of a Finite Game with No Berge Equilibria at All," Games, MDPI, vol. 10(1), pages 1-4, January.
    • Handle: RePEc:gam:jgames:v:10:y:2019:i:1:p:7-:d:201689
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    References listed on IDEAS

    as
    1. A.M. Colman & T.W. Körner & O. Musy & T. Tazdaït, 2011. "Mutual support in games: Some properties of Berge equilibria," Post-Print hal-00716357, HAL.
    2. Olivier Musy & Antonin Pottier & Tarik Tazdait, 2012. "A New Theorem To Find Berge Equilibria," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-10.
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