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Avtomatika i Telemekhanika, 2020, Issue 2, Pages 115–133
DOI: https://doi.org/10.31857/S0005231020020087 (Mi at15324) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Control in Social Economic Systems

Reflexive dynamics in the Cournot oligopoly under uncertainty

G. I. Algazina, Yu. G. Algazinab

a Altai State University, Barnaul, Russia
b Polzunov Altai State Technical University, Barnaul, Russia
Full-text PDF (333 kB) Citations (18)
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DOI: https://doi.org/10.31857/S0005231020020087
Abstract: A model of dynamic behavior in the Cournot market in the class of linear demand and cost functions of agents is presented. Observing the current state of the market and considering current economic restrictions, agents refine their outputs in game-to-game dynamics and take steps towards the current position of their goal. Sufficient conditions on the step sizes chosen by agents independently of each other under which the dynamics converge to the static Cournot–Nash equilibrium are established.
Keywords: oligopoly, incomplete awareness, reflexive behavior, Cournot–Nash equilibrium, convergence conditions.
Presented by the member of Editorial Board: D. A. Novikov

Received: 14.08.2018
Revised: 29.10.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 2, Pages 287–301
DOI: https://doi.org/10.1134/S0005117920020083
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. I. Algazin, Yu. G. Algazina, “Reflexive dynamics in the Cournot oligopoly under uncertainty”, Avtomat. i Telemekh., 2020, no. 2, 115–133; Autom. Remote Control, 81:2 (2020), 287–301
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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