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Trudy Inst. Mat. i Mekh. UrO RAN, 2019, Volume 25, Number 1, Pages 166–173 (Mi timm1608)  

Two-level cooperation in a class of non-zero-sum differential games

L. A. Petrosyana, D. W. K. Yeungb

a Saint Petersburg State University
b Hong Kong Shue Yan University

Abstract: A two-level game is considered. At the first level, the set of players $N$ is partitioned into coalitions $S_i\subset N$, $i=1,\ldots,m$, such that $S_i\cap S_j=\varnothing$ for $i\neq j$ and each coalition plays against other coalitions a non-zero-sum cooperative differential game with prescribed duration and nontransferable payoffs. At the second level, within each coalition, the players are engaged in a cooperative differential game with prescribed duration and transferrable payoffs. The concept of solution is proposed for this type of two-level games. The properties of a solution, namely, its time consistency or dynamic stability, are studied.

Keywords: coalition partition, cooperative differential game with transferable payoffs, Pareto optimality, payoff distribution procedure, time consistency.

Funding Agency Grant Number
Russian Science Foundation 17-11-01079
This work was supported by the Russian Science Foundation (project no. 17-11-01079).


DOI: https://doi.org/10.21538/0134-4889-2019-25-1-166-173

Full text: PDF file (180 kB)
First page: PDF file
References: PDF file   HTML file

Document Type: Article
UDC: 517.977
MSC: 91A12, 91A23
Received: 12.12.2018
Revised: 27.12.2018
Accepted:14.01.2019

Citation: L. A. Petrosyan, D. W. K. Yeung, “Two-level cooperation in a class of non-zero-sum differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 1, 2019, 166–173

Citation in format AMSBIB
\Bibitem{PetYeu19}
\by L.~A.~Petrosyan, D.~W.~K.~Yeung
\paper Two-level cooperation in a class of non-zero-sum differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2019
\vol 25
\issue 1
\pages 166--173
\mathnet{http://mi.mathnet.ru/timm1608}
\crossref{https://doi.org/10.21538/0134-4889-2019-25-1-166-173}
\elib{http://elibrary.ru/item.asp?id=37051101}


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