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Games 2019, 10(1), 7; https://doi.org/10.3390/g10010007

Example of a Finite Game with No Berge Equilibria at All

1
Institute of Mathematics, Faculty of Mathematics, Physics, and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland
2
Institute of Mathematics, Pomeranian University, 76-200 Słupsk, Poland
*
Author to whom correspondence should be addressed.
Received: 20 December 2018 / Revised: 19 January 2019 / Accepted: 25 January 2019 / Published: 29 January 2019
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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. View Full-Text
Keywords: Berge equilibrium in the sense of Zhukovskii; finite normal-form game; best support to strategy Berge equilibrium in the sense of Zhukovskii; finite normal-form game; best support to strategy
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Pykacz, J.; Bytner, P.; Frąckiewicz, P. Example of a Finite Game with No Berge Equilibria at All. Games 2019, 10, 7.

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