Bulletin of Irkutsk State University. Series Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Bulletin of Irkutsk State University. Series Mathematics:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Bulletin of Irkutsk State University. Series Mathematics, 2021, Volume 36, Pages 3–13
DOI: https://doi.org/10.26516/1997-7670.2021.36.3
(Mi iigum448)
 

This article is cited in 5 scientific papers (total in 5 papers)

Dynamic systems and optimal control

A note on anti-Berge equilibrium for bimatrix game

R. Enkhbat

Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia
Full-text PDF (695 kB) Citations (5)
References:
Abstract: We introduce a new concept of equilibrium based on Nash and Berge equilibriums. This equilibrium is called Anti-Berge equilibrium. We prove an existence of Anti-Berge equilibrium in the game. Based on Mills theorem [9], we reduce finding Anti-Berge equilibrium to a quadratic programming problem with linear constraints. The proposed approach has been illustrated on an example.
Keywords: Berge equilibrium, optimization, bimatrix game, Anti-Berge equlibrium.
Received: 17.02.2021
Bibliographic databases:
Document Type: Article
UDC: 519.832
MSC: 91A05, 91A10
Language: English
Citation: R. Enkhbat, “A note on anti-Berge equilibrium for bimatrix game”, Bulletin of Irkutsk State University. Series Mathematics, 36 (2021), 3–13
Citation in format AMSBIB
\Bibitem{Enk21}
\by R.~Enkhbat
\paper A note on anti-Berge equilibrium for bimatrix game
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2021
\vol 36
\pages 3--13
\mathnet{http://mi.mathnet.ru/iigum448}
\crossref{https://doi.org/10.26516/1997-7670.2021.36.3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000662709100001}
Linking options:
  • https://www.mathnet.ru/eng/iigum448
  • https://www.mathnet.ru/eng/iigum/v36/p3
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025