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The Berge Equilibrium in Cournot Oligopoly Model

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Optimization and Applications (OPTIMA 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 974))

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Abstract

More than a hundred years ago, the first models of oligopolies were described. Modeling of oligopolies continues to this day in many modern papers. The main approach meets the concept of the Nash equilibrium and is actively used in modeling the behavior of players in a competitive market. The exact opposite of such “selfish” equilibrium is the “altruistic” concept of the Berge equilibrium. At the moment, many works are devoted to a Berge equilibrium. However, all of these items are limited to purely theoretical issues, or, in general, to psychological applications. Papers devoted to the study of Berge equilibrium in economic problems were not seen until now. In this paper, the Berge equilibrium is considered in the Cournot oligopoly, and its relationship to the Nash equilibrium is studied. Cases are revealed in which players gain more profit by following the concept of the Berge equilibrium, then by using strategies dictated by the Nash equilibrium.

The work was supported by Grant of the Foundation for perspective scientific researches of Chelyabinsk State University (2018) and by Act 211 Government of the Russian Federation, contract N 02.A03.21.0011.

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Author information

Authors and Affiliations

  1. South Ural State University, Lenin prospekt 76, Chelyabinsk, 454080, Russia

    Konstantin Kudryavtsev

  2. Chelyabinsk State University, Bratiev Kashirinykh st. 129, Chelyabinsk, 454001, Russia

    Viktor Ukhobotov

  3. M.V. Lomonosov Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    Vladislav Zhukovskiy

Authors
  1. Konstantin Kudryavtsev
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  2. Viktor Ukhobotov
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  3. Vladislav Zhukovskiy
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Corresponding author

Correspondence to Konstantin Kudryavtsev .

Editor information

Editors and Affiliations

  1. FRC CSC RAS, Dorodnitsyn Computing Centre, Moscow, Russia

    Yury Evtushenko

  2. University of Montenegro, Podgorica, Montenegro

    Milojica Jaćimović

  3. Krasovsky Institute of Mathematics and Mechanics, Yekaterinburg, Russia

    Michael Khachay

  4. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

    Yury Kochetov

  5. FRC CSC RAS, Dorodnitsyn Computing Centre, Moscow, Russia

    Vlasta Malkova

  6. FRC CSC RAS, Dorodnitsyn Computing Centre, Moscow, Russia

    Mikhail Posypkin

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Kudryavtsev, K., Ukhobotov, V., Zhukovskiy, V. (2019). The Berge Equilibrium in Cournot Oligopoly Model. In: Evtushenko, Y., Jaćimović, M., Khachay, M., Kochetov, Y., Malkova, V., Posypkin, M. (eds) Optimization and Applications. OPTIMA 2018. Communications in Computer and Information Science, vol 974. Springer, Cham. https://doi.org/10.1007/978-3-030-10934-9_29

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  • DOI: https://doi.org/10.1007/978-3-030-10934-9_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10933-2

  • Online ISBN: 978-3-030-10934-9

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