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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2019, Volume 11, Issue 1, Pages 73–95 (Mi mgta231)  
This article is cited in 3 scientific papers (total in 3 papers)

Individual stability of coalition structures in three-person games

Fengyan Sunab, Elena M. Parilinaabc, Hongwei Gaob

a Saint Petersburg State University
b School of Mathematics and Statistics, Qingdao University
c Institute of Applied Mathematics of Shandong
Full-text PDF (808 kB) Citations (3)
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Abstract: Cooperative games with coalition structures are considered and a principle of coalition structure individual stability with respect to some cooperative solution concepts is determined. In comparison with the paper (Sedakov et al., 2013), we consider the opportunity of the players to block the deviation of a player in case their payoffs decrease with the deviation. We prove the existence of an individually stable coalition structure with respect to the Shapley and equal surplus division values for the case of three-person games according to the new definition of a stable coalition structure.
Keywords: coalition structure, stability, the Shapley value, the ES-value.
Funding agency Grant number
Shandong Province WST2017009
National Natural Science Foundation of China 71571108
The work was funded by Shandong Province “Double-Hundred Talent Plan” (No. WST2017009).
Received: 24.12.2018
Revised: 18.03.2019
Accepted: 20.03.2019
English version:
Automation and Remote Control, 2021, Volume 82, Issue 6, Pages 1083–1094
DOI: https://doi.org/10.1134/S0005117921060084
Document Type: Article
UDC: 519.834
BBC: 22.18
Language: Russian
Citation: Fengyan Sun, Elena M. Parilina, Hongwei Gao, “Individual stability of coalition structures in three-person games”, Mat. Teor. Igr Pril., 11:1 (2019), 73–95; Autom. Remote Control, 82:6 (2021), 1083–1094
Citation in format AMSBIB
\Bibitem{SunParGao19}
\by Fengyan~Sun, Elena~M.~Parilina, Hongwei~Gao
\paper Individual stability of coalition structures in three-person games
\jour Mat. Teor. Igr Pril.
\yr 2019
\vol 11
\issue 1
\pages 73--95
\mathnet{http://mi.mathnet.ru/mgta231}
\transl
\jour Autom. Remote Control
\yr 2021
\vol 82
\issue 6
\pages 1083--1094
\crossref{https://doi.org/10.1134/S0005117921060084}
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    • 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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