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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2019, Volume 25, Number 3, Pages 200–216
DOI: https://doi.org/10.21538/0134-4889-2019-25-3-200-216 (Mi timm1659) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Coalitional stability conditions in multicriteria dynamic games

A. N. Rettievaabc

a Institute of Applied Mathematical Research of the Karelian Research Centre RAS, Petrozavodsk
b Qingdao University
c Institute of Applied Mathematics of Shandong, Qingdao 266071, PR China
Full-text PDF (241 kB) Citations (3)
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DOI: https://doi.org/10.21538/0134-4889-2019-25-3-200-216
Abstract: We study the stability of coalitions in multicriteria dynamic games. We use the Nash bargaining solution (Nash products) to construct a noncooperative equilibrium and the Nash bargaining solution for the entire planning horizon to find a cooperative solution. Conditions for the internal and external stability are extended to dynamic games with vector payoff functions. The notion of coalitional stability, which takes into account the stimuli for the player to transfer to other coalitions, is introduced. To illustrate the presented approach, we consider a multicriteria dynamic model of bioresource management. Conditions for the internal, external, and coalitional stability are presented.
Keywords: dynamic games, multicriteria games, Nash bargaining solution, internal and external stability, coalitional stability.
Funding agency Grant number
Shandong Province WST2017009
This work was supported by the Shandong Province “Double-Hundred Talent Plan” (No. WST2017009).
Received: 30.07.2019
Revised: 10.08.2019
Accepted: 19.08.2019
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2019, Volume 307, Issue 1, Pages S99–S115
DOI: https://doi.org/10.1134/S0081543819070083
Bibliographic databases:
Document Type: Article
UDC: 519.837
MSC: 91A25, 91A80, 90B50, 91B76
Language: Russian
Citation: A. N. Rettieva, “Coalitional stability conditions in multicriteria dynamic games”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 3, 2019, 200–216; Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S99–S115
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/timm/v25/i3/p200
    • This publication is cited in the following 3 articles:
    1. Denis V. Kuzyutin, Nadezhda V. Smirnova, Igor R. Tantlevskii, “Mnogoshagovaya model ispolzovaniya vozobnovlyaemogo resursa igrokami dvukh tipov”, MTIP, 16:1 (2024), 61–77  mathnet
    2. D. V. Kuzyutin, N. V. Smirnova, I. R. Tantlevskij, “Multistage Model for Renewable Resource Extraction by Players of Two Types”, Dokl. Math., 110:S2 (2024), S445  crossref
    3. Anna N. Rettieva, “Dynamic multicriteria games' solutions: classical and untraditional approaches”, Autom. Remote Control, 82:5 (2021), 902–910  mathnet  crossref
    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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