Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 2, Pages 192–201
DOI: https://doi.org/10.7868/S0044466918020047 (Mi zvmmf10672) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Scalarization method in multicriteria games

N. M. Novikovaa, I. I. Pospelovab

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466918020047
Abstract: Using a two-criteria two-person game as an example, the validity of the scalarization method applied for the parameterization of the set of game values and for estimating the players' payoffs is investigated. It is shown that the use of linear scalarization by the players gives the results different from those obtained using Germeyer's scalarization. Various formalizations of the concept of value of MC games are discussed.
Key words: multicriteria games, mixed extensions, scalarization method, linear scalarization, Germeyer's scalarization, averaging of the vector of criteria.
Received: 20.07.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 2, Pages 180–189
DOI: https://doi.org/10.1134/S0965542518020112
Bibliographic databases:
Document Type: Article
UDC: 519. 698
Language: Russian
Citation: N. M. Novikova, I. I. Pospelova, “Scalarization method in multicriteria games”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 192–201; Comput. Math. Math. Phys., 58:2 (2018), 180–189
Citation in format AMSBIB
\Bibitem{NovPos18}
\by N.~M.~Novikova, I.~I.~Pospelova
\paper Scalarization method in multicriteria games
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2018
\vol 58
\issue 2
\pages 192--201
\mathnet{http://mi.mathnet.ru/zvmmf10672}
\crossref{https://doi.org/10.7868/S0044466918020047}
\elib{https://elibrary.ru/item.asp?id=32659381}
\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 2
\pages 180--189
\crossref{https://doi.org/10.1134/S0965542518020112}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000427612600005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044197795}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10672
  • https://www.mathnet.ru/eng/zvmmf/v58/i2/p192
    • This publication is cited in the following 6 articles:
    1. Natalia M. Novikova, Irina I. Pospelova, “A Game-Theoretic Approach to Two-Person Negotiation Under Multiple Criteria”, Group Decis Negot, 33:1 (2024), 195  crossref
    2. Ruhao Jiang, He Luo, Yingying Ma, Guoqiang Wang, “Multicriteria Game Approach to Air-to-Air Combat Tactical Decisions for Multiple UAVs”, J. of Syst. Eng. Electron., 34:6 (2023), 1447  crossref
    3. Natalia Novikova, Irina Pospelova, “Germeier's Scalarization for Approximating Solution of Multicriteria Matrix Games”, Mathematics, 11:1 (2022), 133  crossref
    4. E. M. Kreines, N. M. Novikova, I. I. Pospelova, “Equilibria and compromises in two-person zero-sum multicriteria games”, J. Comput. Syst. Sci. Int., 59:6 (2020), 871–893  crossref  mathscinet  zmath  isi  scopus
    5. E. M. Kreines, N. M. Novikova, I. I. Pospelova, “Multicriteria competitive games as models in operations research”, Comput. Math. Math. Phys., 60:9 (2020), 1570–1587  mathnet  crossref  crossref  isi  elib
    6. N. M. Novikova, I. I. Pospelova, “Mixed strategies in vector optimization and Germeier's convolution”, J. Comput. Syst. Sci. Int., 58:4 (2019), 601–615  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:307
    References:65
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025