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Avtomatika i Telemekhanika, 2017, Issue 11, Pages 105–121 (Mi at14927)  
This article is cited in 11 scientific papers (total in 11 papers)

Control in Social Economic Systems

Analysis of game-theoretic models of an oligopoly market under constrains on the capacity and competitiveness of agents

M. I. Geras'kina, A. G. Chkhartishvilib

a Korolev Samara National Research University, Samara, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (1183 kB) Citations (11)
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Abstract: We develop an oligopoly model for nonlinear cost functions of the agents under constraints on the competitiveness and capacity of the agents and formulate Nash equilibrium conditions for this model. We develop a game-theoretic model for choosing the strategies for competitive and unbounded in capacity agents and define a Pareto optimal solution for this model under complete information.
Keywords: oligopoly, nonlinear cost function, Nash equilibrium, constraints on competitiveness and capacity.
Presented by the member of Editorial Board: D. A. Novikov

Received: 28.12.2015
English version:
Automation and Remote Control, 2017, Volume 78, Issue 11, Pages 2025–2038
DOI: https://doi.org/10.1134/S000511791711008X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. I. Geras'kin, A. G. Chkhartishvili, “Analysis of game-theoretic models of an oligopoly market under constrains on the capacity and competitiveness of agents”, Avtomat. i Telemekh., 2017, no. 11, 105–121; Autom. Remote Control, 78:11 (2017), 2025–2038
Citation in format AMSBIB
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\issue 11
\pages 105--121
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  • https://www.mathnet.ru/eng/at/y2017/i11/p105
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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