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

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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 16 scientific papers (total in 16 papers)

Control in Social Economic Systems

Reflexive dynamics in the Cournot oligopoly under uncertainty

G. I. Algazin^a, Yu. G. Algazina^b

^a Altai State University, Barnaul, Russia
^b Polzunov Altai State Technical University, Barnaul, Russia

Full-text PDF (333 kB) Citations (16)

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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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Linking options:

https://www.mathnet.ru/eng/at15324

https://www.mathnet.ru/eng/at/y2020/i2/p115

This publication is cited in the following 16 articles:

G. I. Algazin, D. G. Algazina, “Aggregate Estimates of Reflexive Collective Behavior Dynamics in a Cournot Oligopoly Model”, ARC, 85:9 (2024), 923
G. I. Algazin, D. G. Algazina, “Aggregate estimates of reflexive collective behavior dynamics in a Cournot oligopoly model”, Autom. Remote Control, 85:9 (2024), 821–831
A. S. Shvedov, “Cournot oligopoly: strategy choice under uncertainty and other problems”, Control Sciences, 2023, no. 5, 18–31
G. I. Algazin, D. G. Algazina, “Convergence conditions for the dynamics of reflexive collective behavior in a Cournot oligopoly model under incomplete information”, Autom. Remote Control, 84:5 (2023), 486–496
Guennady Ougolnitsky, Anatoly Usov, “Differential Game-Theoretic Models of Cournot Oligopoly with Consideration of the Green Effect”, Games, 14:1 (2023), 14
G. A. Ougolnitsky, A. B. Usov, “The interaction of economic agents in Cournot duopoly models under ecological conditions: a comparison of organizational modes”, Autom. Remote Control, 84:2 (2023), 153–166
G. Algazin, D. Algazina, “Convergence in norm of collective behavior dynamics in the reflexive model of oligopoly with leaders”, Informatics and Automation, 22:3 (2023), 616–646
Guennady Ougolnitsky, Alexey Korolev, “Game-Theoretic Models of Coopetition in Cournot Oligopoly”, Stats, 6:2 (2023), 576
M. I. Geraskin, “Reflexive analysis of equilibria in a triopoly game with linear cost functions of the agents”, Autom. Remote Control, 83:3 (2022), 389–406
G. I. Algazin, J. G. Algazina, “To the analytical investigation of the convergence conditions of the processes of reflexive collective behavior in oligopoly models”, Autom. Remote Control, 83:3 (2022), 367–388
M. I. Geraskin, “Analysis of equilibria in a nonlinear oligopoly model”, Autom. Remote Control, 83:8 (2022), 1261–1277
M. I. Geraskin, “Influence of reflexion on the properties of equilibria in a nonlinear Stackelberg oligopoly model”, Autom. Remote Control, 83:11 (2022), 1792–1817
Denis N. Fedyanin, 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT), 2022, 712
D.G. Algazina, D.G. Algazina, “Solving the Cournot Oligopoly Game under Incomplete Information with the Possibility of Cooperative Interaction”, Izvestiya AltGU, 2022, no. 4(126), 79
G. Algazin, D. Algazina, “Modeling the dynamics of collective behavior in a reflexive game with an arbitrary number of leaders”, Informatics and Automation, 21:2 (2022), 339–375
G. I. Algazin, D. G. Algazina, “Reflexion processes and equilibrium in an oligopoly model with a leader”, Autom. Remote Control, 81:7 (2020), 1258–1270

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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