Example of a finite game with no Berge equilibria at all

Example of a finite game with no Berge equilibria at all

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.

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Bibliographische Detailangaben
Veröffentlicht in:Games 2019-03, Vol.10 (1), p.1-4
Hauptverfasser: Pykacz, Jaros±aw, Bytner, Pawe±, Frñackiewicz, Piotr
Format: Artikel
Sprache:eng
Schlagworte:
Berge equilibrium in the sense of Zhukovskii
best support to strategy
Conflicts of interest
Economic models
Equilibrium
finite normal-form game
Game theory
Games
Mathematical functions
Mathematics
Pareto optimum
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Zusammenfassung: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.
ISSN:2073-4336
2073-4336
DOI:10.3390/g10010007