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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, Volume 7, Issue 4, Pages 56–70 (Mi mgta168)  

This article is cited in 1 scientific paper (total in 1 paper)

Strategic stability in linear-quadratic differential games with nontransferable payoffs

Anna V. Tur

St. Peterburg State University
Full-text PDF (418 kB) Citations (1)
References:
Abstract: The problem of strategically supported cooperation in linear-quadratic differential games with nontranferable payoffs is considered. It is assumed, that the player uses the payoff distribution procedure to get the individual rationality of cooperative solution. To punish those who violate cooperative agreement, the special game, which differs from initial one only by the players' payoffs on cooperative trajectory is constructed. It is shown that in the new game there exists an $\varepsilon$-equilibrium with players' payoffs equal to corresponding cooperative players' payoffs in initial game.
Keywords: linear-quadratic game, differential game, cooperative game, Pareto-optimal solution, strategic stability.
Funding agency Grant number
Saint Petersburg State University 9.38.245.2014
English version:
Automation and Remote Control, 2017, Volume 78, Issue 2, Pages 379–388
DOI: https://doi.org/10.1134/S0005117917020151
Bibliographic databases:
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Anna V. Tur, “Strategic stability in linear-quadratic differential games with nontransferable payoffs”, Mat. Teor. Igr Pril., 7:4 (2015), 56–70; Autom. Remote Control, 78:2 (2017), 379–388
Citation in format AMSBIB
\Bibitem{Tur15}
\by Anna~V.~Tur
\paper Strategic stability in linear-quadratic differential games with nontransferable payoffs
\jour Mat. Teor. Igr Pril.
\yr 2015
\vol 7
\issue 4
\pages 56--70
\mathnet{http://mi.mathnet.ru/mgta168}
\transl
\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 2
\pages 379--388
\crossref{https://doi.org/10.1134/S0005117917020151}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000394288900015}
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  • https://www.mathnet.ru/eng/mgta168
  • https://www.mathnet.ru/eng/mgta/v7/i4/p56
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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