Example of a finite game with no Berge equilibria at all

Jarosław Pykacz , Paweł Bytner , Piotr Frąckiewicz


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 2073-4336, (N/A 40 pkt)
Issue year2019
Publication size in sheets0.50
Article number7
Keywords in EnglishBerge equilibrium in the sense of Zhukovskii, finite normal-form game, best support to strategy
ASJC Classification1804 Statistics, Probability and Uncertainty; 2604 Applied Mathematics; 2613 Statistics and Probability
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)40
Score sourcejournalList
ScoreMinisterial score = 40.0, 28-07-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2019 = 0.559
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