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Constant Pass-Through

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  • Matsuyama, Kiminori
  • Ushchev, Philip

Abstract

We propose and characterize parametric families of homothetic demand systems, which feature a constant pass-through rate that is common across otherwise heterogenous monopolistically competitive firms. These parametric families offer natural, flexible, and yet tractable extensions of CES. In the case of complete pass-through, the markup rate is constant, as in CES, yet it can be heterogenous across firms, unlike in CES. In the case of incomplete pass-thorough, the price of each firm is log-linear in its marginal cost and its choke price with the common coefficients across firms. Tougher competition, captured by a lower “average price,†reduces the prices of all firms at a uniform rate, and hence without affecting their relative prices. Yet, it causes a disproportionately larger decline in the revenue and the profit among firms with lower markup rates.

Suggested Citation

  • Matsuyama, Kiminori & Ushchev, Philip, 2020. "Constant Pass-Through," CEPR Discussion Papers 15475, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:15475
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    References listed on IDEAS

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    1. Oleg Itskhoki & Dmitry Mukhin, 2021. "Exchange Rate Disconnect in General Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 129(8), pages 2183-2232.
    2. Evgeny Zhelobodko & Sergey Kokovin & Mathieu Parenti & Jacques‐François Thisse, 2012. "Monopolistic Competition: Beyond the Constant Elasticity of Substitution," Econometrica, Econometric Society, vol. 80(6), pages 2765-2784, November.
    3. Feenstra, Robert C., 2003. "A homothetic utility function for monopolistic competition models, without constant price elasticity," Economics Letters, Elsevier, vol. 78(1), pages 79-86, January.
    4. Matsuyama, Kiminori, 2017. "Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems," CEPR Discussion Papers 12210, C.E.P.R. Discussion Papers.
    5. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
    6. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    7. Behrens, Kristian & Murata, Yasusada, 2007. "General equilibrium models of monopolistic competition: A new approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 776-787, September.
    8. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
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    Cited by:

    1. Matsuyama, Kiminori & Ushchev, Philip, 2022. "Destabilizing effects of market size in the dynamics of innovation," Journal of Economic Theory, Elsevier, vol. 200(C).

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    More about this item

    Keywords

    Homothetic demand systems; Constant pass-through (copath); Constant price elasticity (cpe); Constant elasticity of substitution (ces); H.s.a.; H.d.i.a.; H.i.i.a.; Monopolistic competition; Heterogenous firms;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • 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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