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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2017, Volume 9, Issue 4, Pages 18–38 (Mi mgta206)  
This article is cited in 2 scientific papers (total in 2 papers)

On the existence of IDP-core in cooperative differential games

Dmitry A. Wolf, Victor V. Zakharov, Ovanes L. Petrosian

Saint Petersburg State University, Faculty of Applied Mathematics and Control Process
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Abstract: In this paper we consider differential games with transferable utility and study of non-emptiness property of IDP-core presented in [7]. We apply methods of linear programming first applied in the paper [23] for analyzing non-emptiness of the Core. With described methods we construct necessary and sufficient conditions for IDP-core to be non-empty. This conditions are formalized for each time instant on which the game is defined and are imposed on a set of imputation distribution procedures (IDPs) corresponding to IDP-core.
Keywords: cooperative differential games, cooperative games, IDP-core, SC-core, linear programming.
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Dmitry A. Wolf, Victor V. Zakharov, Ovanes L. Petrosian, “On the existence of IDP-core in cooperative differential games”, Mat. Teor. Igr Pril., 9:4 (2017), 18–38
Citation in format AMSBIB
\Bibitem{WolZakPet17}
\by Dmitry~A.~Wolf, Victor~V.~Zakharov, Ovanes~L.~Petrosian
\paper On the existence of IDP-core in cooperative differential games
\jour Mat. Teor. Igr Pril.
\yr 2017
\vol 9
\issue 4
\pages 18--38
\mathnet{http://mi.mathnet.ru/mgta206}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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