Example of a finite game with no Berge equilibria at all

Jarosław Pykacz , Paweł Bytner , Piotr Frąckiewicz

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.
Author Jarosław Pykacz (FMPI / IM)
Jarosław Pykacz,,
- Institute of Mathematics
, Paweł Bytner (FMPI / IM)
Paweł Bytner,,
- Institute of Mathematics
, Piotr Frąckiewicz
Piotr Frąckiewicz,,
-
Journal seriesGames, ISSN , e-ISSN 2073-4336, (0 pkt)
Issue year2019
Vol10
No1
Pages1-4
Publication size in sheets0.5
Keywords in EnglishBerge equilibrium in the sense of Zhukovskii, finite normal-form game, best support to strategy
DOIDOI:10.3390/g10010007
URL https://www.mdpi.com/2073-4336/10/1/7/pdf
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)5
ScoreMinisterial score = 0.0, 01-02-2019, ArticleFromJournal
Ministerial score (2013-2016) = 5.0, 01-02-2019, ArticleFromJournal - czasopismo zagraniczne spoza list
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