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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. Algazina, Yu. G. Algazinab

a Altai State University, Barnaul, Russia
b Polzunov Altai State Technical University, Barnaul, Russia
References:
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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\paper Reflexive dynamics in the Cournot oligopoly under uncertainty
\jour Avtomat. i Telemekh.
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\pages 115--133
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\transl
\jour Autom. Remote Control
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\issue 2
\pages 287--301
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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:
    1. G. I. Algazin, D. G. Algazina, “Aggregate Estimates of Reflexive Collective Behavior Dynamics in a Cournot Oligopoly Model”, ARC, 85:9 (2024), 923  crossref
    2. 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  mathnet  crossref  crossref
    3. A. S. Shvedov, “Cournot oligopoly: strategy choice under uncertainty and other problems”, Control Sciences, 2023, no. 5, 18–31  mathnet  crossref  crossref
    4. 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  mathnet  crossref  crossref
    5. Guennady Ougolnitsky, Anatoly Usov, “Differential Game-Theoretic Models of Cournot Oligopoly with Consideration of the Green Effect”, Games, 14:1 (2023), 14  crossref
    6. 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  mathnet  crossref  crossref
    7. 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  mathnet  mathnet  crossref
    8. Guennady Ougolnitsky, Alexey Korolev, “Game-Theoretic Models of Coopetition in Cournot Oligopoly”, Stats, 6:2 (2023), 576  crossref
    9. 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  mathnet  crossref  crossref
    10. 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  mathnet  crossref  crossref
    11. M. I. Geraskin, “Analysis of equilibria in a nonlinear oligopoly model”, Autom. Remote Control, 83:8 (2022), 1261–1277  mathnet  crossref  crossref  mathscinet
    12. 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  mathnet  crossref  crossref
    13. Denis N. Fedyanin, 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT), 2022, 712  crossref
    14. 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  crossref
    15. 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  mathnet  mathnet  crossref
    16. 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  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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