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Relative profit maximization and the choice of strategic variables in duopoly

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  • Satoh, Atsuhiro
  • Tanaka, Yasuhito

Abstract

We study implications of the choice of strategic variables, price or quantity, by firms in a duopoly with differentiated goods in which each firm maximizes its relative profit. We consider general demand and cost functions, and show that the choice of strategic variables is irrelevant in the sense that the conditions of relative profit maximization for the firms are the same in all situations, and so any combination of strategy choice by the firms constitutes a sub-game perfect equilibrium in a two stage game such that in the first stage the firms choose their strategic variables and in the second stage they determine the values of their strategic variables. We define the relative profit of a firm as the ratio of its profit over the total profit. But, even if we define the relative profit of a firm as the difference between the profits of firms, we can show the same result.

Suggested Citation

  • Satoh, Atsuhiro & Tanaka, Yasuhito, 2015. "Relative profit maximization and the choice of strategic variables in duopoly," MPRA Paper 63000, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:63000
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    References listed on IDEAS

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    Cited by:

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    2. 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).

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    More about this item

    Keywords

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

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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