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Avtomatika i Telemekhanika, 2018, Issue 5, Pages 83–106
(Mi at14865)
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This article is cited in 15 scientific papers (total in 15 papers)
Control in Social Economic Systems
Modeling reflexion in the non-linear model of the Stakelberg three-agent oligopoly for the Russian telecommunication market
M. I. Geras'kin Korolev Samara National Research University, Samara, Russia
Abstract:
We consider the problem of finding equilibria in games with three agents on an oligopolic market with a linear demand function and nonlinear agent cost functions. Under strategic reflexion of the agents regarding the presence of a Stackelberg leader (leaders) of the first and second levels, we obtain expressions for information equilibria. Modeling real agent costs and demand functions of the Russian telecommunication market has allowed us to construct a set of information equilibria which we have compared with parameters of the real market and showed the presence of reflexion of the first and second ranks.
Keywords:
oligopoly, Stackelberg leader, reflexive game, Nash equilibrium.
Citation:
M. I. Geras'kin, “Modeling reflexion in the non-linear model of the Stakelberg three-agent oligopoly for the Russian telecommunication market”, Avtomat. i Telemekh., 2018, no. 5, 83–106; Autom. Remote Control, 79:5 (2018), 841–859
Linking options:
https://www.mathnet.ru/eng/at14865 https://www.mathnet.ru/eng/at/y2018/i5/p83
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Statistics & downloads: |
Abstract page: | 290 | Full-text PDF : | 55 | References: | 29 | First page: | 20 |
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