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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 1, Pages 106–123 (Mi mgta6)  
This article is cited in 29 scientific papers (total in 29 papers)

Principles of dynamic stability

Leon Petrosyana, Nickolay Zenkevichb

a Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Saint Petersburg
b School of Management, St. Petersburg State University, Saint Petersburg
Full-text PDF (277 kB) Citations (29)
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Abstract: There are three important aspects which must be taken into account when the problem of stability of long-range cooperative agreements is investigated: time-consistency of the cooperative agreements, strategic stability and irrational behavior proofness. The mathematical results based on imputation distribution procedures (IDP) are developed to deal with the above mentioned aspects of cooperation. We proved that for a special class of differential games time-consistent cooperative agreement can be strategically supported by Nash equilibrium. We also consider an example where all three conditions are satisfied.
Keywords: differential game, cooperative solution, time-consistency of the cooperative agreements, payoff distribution procedures (PDP), imputation distribution procedures (IDP), strategic stability, irrational behavior proofness.
English version:
Automation and Remote Control, 2015, Volume 76, Issue 10, Pages 1894–1904
DOI: https://doi.org/10.1134/S0005117915100148
Bibliographic databases:
Document Type: Article
UDC: 518.9 + 517.9
BBC: 65.050.2
Language: Russian
Citation: Leon Petrosyan, Nickolay Zenkevich, “Principles of dynamic stability”, Mat. Teor. Igr Pril., 1:1 (2009), 106–123; Autom. Remote Control, 76:10 (2015), 1894–1904
Citation in format AMSBIB
\Bibitem{PetZen09}
\by Leon Petrosyan, Nickolay Zenkevich
\paper Principles of dynamic stability
\jour Mat. Teor. Igr Pril.
\yr 2009
\vol 1
\issue 1
\pages 106--123
\mathnet{http://mi.mathnet.ru/mgta6}
\zmath{https://zbmath.org/?q=an:05734826}
\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 10
\pages 1894--1904
\crossref{https://doi.org/10.1134/S0005117915100148}
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  • https://www.mathnet.ru/eng/mgta/v1/i1/p106
    Cycle of papers
    This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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