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Comparative Statics for Oligopoly: A Generalized Result

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  • Naoto Jinji

Abstract

We perform comparative statics for a general model of asymmetric oligopoly and derive a concise formula for the response of one firm to a marginal change in its rival’s strategic variable, taking into account the responses of all other firms. We obtain the conditions under which the sign of this response coincides with that of the mixed second-order partial derivative of the firm’s payoff function. We then propose a distinction between gross and net strategic relationships (i.e., strategic substitute and complement).

Suggested Citation

  • Naoto Jinji, 2013. "Comparative Statics for Oligopoly: A Generalized Result," Discussion papers e-12-011, Graduate School of Economics Project Center, Kyoto University.
    • Handle: RePEc:kue:dpaper:e-12-011
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    Cited by:

    1. Finn Christensen, 2019. "Comparative statics and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 665-702, April.
    2. Naoto Jinji & Tsuyoshi Toshimitsu, 2014. "Strategic Investment Subsidies under Asymmetric Oligopoly," Review of Development Economics, Wiley Blackwell, vol. 18(3), pages 490-501, August.

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    More about this item

    Keywords

    comparative statics; asymmetry; stability conditions;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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