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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2018, Volume 10, Issue 2, Pages 40–61 (Mi mgta218)  

This article is cited in 3 scientific papers (total in 3 papers)

Coalition Formation in Dynamic Multicriteria Games

Anna N. Rettievaabc

a Institute of Applied Mathematics of Shandong
b Institute of Applied Mathematical Research Karelian Research Center of RAS
c School of Mathematics and Statistics, Qingdao University
Full-text PDF (223 kB) Citations (3)
References:
Abstract: In this paper, new approaches to obtain optimal behavior in dynamic multicriteria games are suggested. The multicriteria Nash equilibrium is designed via the Nash bargaining scheme (Nash products), and the cooperative equilibrium is determined by the Nash bargaining solution for the entire planning horizon. The process of coalition formation in dynamic mul-ticriteria games is studied. For constructing the characteristic function the Nash bargaining scheme is applied, where the multicriteria Nash equilibrium plays the role of the status quo points. Two modifications of the characteristic function are presented that take into account the information structure of the game (the models without and with information). The dynamic multicriteria bioresource management problem is considered. The players’ strategies and the quantities of resource are compared under the cooperative and noncooperative behavior for the above modifications of the characteristic function.
Keywords: dynamic games, multicriteria games, ash equilibrium, cooperative equilibrium, characteristic function, Nash bargaining scheme.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00183_а
16-41-100062 р_а
Shandong Province WST2017009
English version:
Automation and Remote Control, 2019, Volume 80, Issue 10, Pages 1912–1927
DOI: https://doi.org/10.1134/S0005117919100114
Document Type: Article
UDC: 519.833.2
BBC: 22.18
Language: Russian
Citation: Anna N. Rettieva, “Coalition Formation in Dynamic Multicriteria Games”, Mat. Teor. Igr Pril., 10:2 (2018), 40–61; Autom. Remote Control, 80:10 (2019), 1912–1927
Citation in format AMSBIB
\Bibitem{Ret18}
\by Anna~N.~Rettieva
\paper Coalition Formation in Dynamic Multicriteria Games
\jour Mat. Teor. Igr Pril.
\yr 2018
\vol 10
\issue 2
\pages 40--61
\mathnet{http://mi.mathnet.ru/mgta218}
\transl
\jour Autom. Remote Control
\yr 2019
\vol 80
\issue 10
\pages 1912--1927
\crossref{https://doi.org/10.1134/S0005117919100114}
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  • https://www.mathnet.ru/eng/mgta/v10/i2/p40
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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