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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 3, Pages 193–203 (Mi timm1094)  

This article is cited in 12 scientific papers (total in 12 papers)

Two-level cooperation in coalitional differential games

L. A. Petrosyan, E. V. Gromova

Saint Petersburg State University
References:
Abstract: We consider a differential game with prescribed duration and given coalitional partition of the set of players. The cooperative game proceeds in two stages. At the first stage the players (coalitions) maximize the total payoff and then distribute it according to the Shapley value. At the second stage the components of the Shapley value are distributed inside fixed coalitions. We study the time consistency of the proposed two-level cooperative solution. The problem is solved by means of an imputation distribution procedure. The results are illustrated by a differential game of emission reduction.
Keywords: cooperative differential games, Shapley value, imputation distribution procedure, time consistency.
Received: 30.04.2014
Bibliographic databases:
Document Type: Article
UDC: 519.83
Language: Russian
Citation: L. A. Petrosyan, E. V. Gromova, “Two-level cooperation in coalitional differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 193–203
Citation in format AMSBIB
\Bibitem{PetGro14}
\by L.~A.~Petrosyan, E.~V.~Gromova
\paper Two-level cooperation in coalitional differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 3
\pages 193--203
\mathnet{http://mi.mathnet.ru/timm1094}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379224}
\elib{https://elibrary.ru/item.asp?id=23503121}
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  • https://www.mathnet.ru/eng/timm1094
  • https://www.mathnet.ru/eng/timm/v20/i3/p193
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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