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Choice of strategic variables under relative profit maximization in asymmetric oligopoly

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  • Satoh, Atsuhiro
  • Tanaka, Yasuhito

Abstract

We consider a simple model of the choice of strategic variables under relative profit maximization by firms in an asymmetric oligopoly with differentiated substitutable goods such that there are three firms, Firm 1, 2 and 3, demand functions are linear and symmetric, marginal costs are constant, there is no fixed cost, Firm 2 and 3 have the same cost function, but Firm 1 has a different cost function. In such a model we show that there are two pure strategy sub-game perfect equilibria. One is such that all firms choose the outputs as their strategic variables, and the other is such that Firm 2 and 3 choose the outputs as their strategic variables, and Firm 1 chooses the price as its strategic variable.

Suggested Citation

  • Satoh, Atsuhiro & Tanaka, Yasuhito, 2014. "Choice of strategic variables under relative profit maximization in asymmetric oligopoly," MPRA Paper 55886, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:55886
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    References listed on IDEAS

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    1. Robert Gibbons & Kevin J. Murphy, 1990. "Relative Performance Evaluation for Chief Executive Officers," ILR Review, Cornell University, ILR School, vol. 43(3), pages 30, April.
    2. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    3. Matsumura, Toshihiro & Matsushima, Noriaki & Cato, Susumu, 2013. "Competitiveness and R&D competition revisited," Economic Modelling, Elsevier, vol. 31(C), pages 541-547.
    4. Yasuhito Tanaka, 2013. "Irrelevance of the choice of strategic variables in duopoly under relative profit maximization," Economics and Business Letters, Oviedo University Press, vol. 2(2), pages 75-83.
    5. Yuanzhu Lu, 2011. "The Relative-Profit-Maximization Objective Of Private Firms And Endogenous Timing In A Mixed Oligopoly," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 56(02), pages 203-213.
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    1. Tanaka, Yasuhito & Satoh, Atsuhiro, 2016. "Maximin and minimax strategies in asymmetric duopoly: Cournot and Bertrand," MPRA Paper 73925, University Library of Munich, Germany.
    2. Satoh, Atsuhiro & Tanaka, Yasuhito, 2016. "Choice of Strategic Variables by Relative Profit Maximizing Firms in Oligopoly," Economic Review, Hitotsubashi University, vol. 67(1), pages 17-25, January.
    3. Li, Hui & Zhou, Wei & Elsadany, A. A & Chu, Tong, 2021. "Stability, multi-stability and instability in Cournot duopoly game with knowledge spillover effects and relative profit maximization," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Atsuhiro Satoh & Yasuhito Tanaka, 2019. "Two Person Zero-Sum Game with Two Sets of Strategic Variables," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 1-15, September.
    5. Satoh, Atsuhiro & Tanaka, Yasuhito, 2016. "Maximin and minimax strategies in symmetric oligopoly: Cournot and Bertrand," MPRA Paper 75837, University Library of Munich, Germany.

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    More about this item

    Keywords

    relative profit maximization; asymmetric oligopoly; choice of strategic variables;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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