Upravlenie Bol'shimi Sistemami
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


UBS:
Year:
Volume:
Issue:
Page:
Find




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

Upravlenie Bol'shimi Sistemami, 2010, Issue 31.1, , Pages 51–77 (Mi ubs470)  
Mathematical Control Theory

Strong equilibrium construction in a noncooperative differential game

N. A. Zenkevich, A. V. Zyatchin

Graduate School of Management
Full-text PDF (259 kB)
References:
PDF
HTML
Abstract: In this paper a special technique based on scalarization of a vector criterion is used to construct a strong equilibrium in a differential game. Sufficient conditions for the existence of strong equilibrium are proved. This approach is tested on an example of an asymmetrical differential game of two players, where the strong equilibrium was found in the explicit form.
Keywords: differential game, Nash equilibrium, strong equilibrium.
Document Type: Article
UDC: 518.9 + 517.9
BBC: 65.050.2
Language: Russian
Citation: N. A. Zenkevich, A. V. Zyatchin, “Strong equilibrium construction in a noncooperative differential game”, UBS, 31.1 (2010), 51–77
Citation in format AMSBIB
\Bibitem{ZenZya10}
\by N.~A.~Zenkevich, A.~V.~Zyatchin
\paper Strong equilibrium construction in a noncooperative differential game
\jour UBS
\yr 2010
\vol 31.1
\pages 51--77
\mathnet{http://mi.mathnet.ru/ubs470}
Linking options:
  • https://www.mathnet.ru/eng/ubs470
  • https://www.mathnet.ru/eng/ubs/v31/i1/p51
    Cycle of papers
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Upravlenie Bol'shimi Sistemami
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024