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Imperfect competition à la Negishi, also with fixed costs

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  • DEHEZ, Pierre
  • DREZE, Jacques
  • SUZUKI, Takashi

Abstract

The paper studies equilibria for economies with imperfect competition and non-convex technologies. Following Negishi, firms maximise profits under downward-sloping perceived demand functions. Negishi's assumptions, in particular the assumption of a single monopolistic competitor in each market, are relaxed. Existence of equilibria is obtained, under otherwisestandard assumptions, for productions sets defined in each firm by the union of a convex technology and a technology subject to fixed costs. In the light of a counterexample, it is assumed that fixed factors are distinct from variable factors. Technically, the proof rests on pricing rules.

Suggested Citation

  • DEHEZ, Pierre & DREZE, Jacques & SUZUKI, Takashi, 2002. "Imperfect competition à la Negishi, also with fixed costs," CORE Discussion Papers 2002078, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2002078
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-2002.html
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    References listed on IDEAS

    as
    1. Jaskold Gabszewicz, Jean & Vial, Jean-Philippe, 1972. "Oligopoly "A la cournot" in a general equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 4(3), pages 381-400, June.
    2. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 119-147, April.
    3. Dehez, Pierre & Dreze, Jacques, 1988. "Distributive production sets and equilibria with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 231-248, April.
    4. Vohra, Rajiv, 1988. "On the existence of equilibria in economies with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 179-192, April.
    5. Dehez, Pierre & Dreze, Jacques, 1988. "Competitive equilibria with quantity-taking producers and increasing returns to scale," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 209-230, April.
    6. Oliver D. Hart, 1979. "Monopolistic Competition in a Large Economy with Differentiated Commodities," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 1-30.
    7. Dierker, Egbert & Guesnerie, Roger & Neuefeind, Wilhelm, 1985. "General Equilibrium When Some Firms Follow Special Pricing Rules," Econometrica, Econometric Society, vol. 53(6), pages 1369-1393, November.
    8. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-666, September.
    9. Gary-Bobo, Robert J., 1989. "Cournot-Walras and locally consistent equilibria," Journal of Economic Theory, Elsevier, vol. 49(1), pages 10-32, October.
    10. Takashi Negishi, 1961. "Monopolistic Competition and General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(3), pages 196-201.
    11. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    12. Silvestre, Joaquim, 1977. "A model of general equilibrium with monopolistic behavior," Journal of Economic Theory, Elsevier, vol. 16(2), pages 425-442, December.
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    Citations

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    Cited by:

    1. Jacques H. Drèze & P. Jean-Jacques Herings, 2008. "Kinky perceived demand curves and Keynes-Negishi equilibria," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 207-246.
    2. J. M. Bonnisseau & A. Jamin, 2008. "Equilibria with Increasing Returns: Sufficient Conditions on Bounded Production Allocations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1033-1068, December.
    3. Weinrich, Gerd, 2007. "New Keynesian monopolistic competition and objective demand," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 153-173, February.
    4. Xi Chen & Bertrand M. Koebel, 2017. "Fixed Cost, Variable Cost, Markups and Returns to Scale," Annals of Economics and Statistics, GENES, issue 127, pages 61-94.

    More about this item

    Keywords

    imperfect competition; fixed costs; general equilibrium; perceived demand; pricing rules;

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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