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Mat. Teor. Igr Pril., 2020, Volume 12, Issue 4, Pages 40–61 (Mi mgta269)  

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

Superadditive extension of characteristic functions for cooperative differential games

Ekaterina V. Gromova, Ekaterina V. Marova

Saint-Petersburg State University

Abstract: The paper provides a constructive theorem that allows one to construct a superadditive characteristic function in a differential game based on a non-superadditive one. As an example, a differential game is considered in which the $ \delta $- and $\eta$-characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity.

Keywords: cooperative games, characteristic function, differential games, superadditivity.

Funding Agency Grant Number
Russian Science Foundation 17-11-01079


Full text: PDF file (246 kB)
References: PDF file   HTML file
UDC: 517.977.8, 519.83
BBK: 22.18
Received: 30.10.2020
Revised: 24.11.2020
Accepted:05.12.2020

Citation: Ekaterina V. Gromova, Ekaterina V. Marova, “Superadditive extension of characteristic functions for cooperative differential games”, Mat. Teor. Igr Pril., 12:4 (2020), 40–61

Citation in format AMSBIB
\Bibitem{GroMar20}
\by Ekaterina~V.~Gromova, Ekaterina~V.~Marova
\paper Superadditive extension of characteristic functions for cooperative differential games
\jour Mat. Teor. Igr Pril.
\yr 2020
\vol 12
\issue 4
\pages 40--61
\mathnet{http://mi.mathnet.ru/mgta269}


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  • http://mi.mathnet.ru/eng/mgta/v12/i4/p40

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    Remarks

    This publication is cited in the following articles:
    1. Ekaterina V. Gromova, “Pismo v redaktsiyu”, MTIP, 13:2 (2021), 118–119  mathnet
  • Математическая теория игр и её приложения
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