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Price equilibrium in address models of product differentiation: unit-elastic demand

Author

Listed:
  • Martin Peitz

    (Faculty of Economics and Business Administration, Goethe-University Frankfurt, Uni-PF 77, 60054 Frankfurt, GERMANY)

Abstract

I present a class of address models of product differentiation with unit-elastic individual demand and show the existence of Nash equilibrium in prices under assumptions on utility functions and the taste and income heterogeneity across consumers. This paper complements the work by Caplin and Nalebuff (1991, Econometrica), who analyze unit demand models of product differentiation.

Suggested Citation

  • Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 849-860.
    • Handle: RePEc:spr:joecth:v:20:y:2002:i:4:p:849-860
    Note: Received: December 28, 1998; revised version: September 5, 2001
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    Citations

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    Cited by:

    1. Yiquan Gu & Tobias Wenzel, 2009. "Product Variety, Price Elasticity of Demand and Fixed Cost in Spatial Models," Ruhr Economic Papers 0092, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    2. Peitz, Martin, 2000. "Aggregation in a Model of Price Competition," Journal of Economic Theory, Elsevier, vol. 90(1), pages 1-38, January.
    3. repec:zbw:rwirep:0092 is not listed on IDEAS
    4. Margaret Aksoy-Pierson & Gad Allon & Awi Federgruen, 2013. "Price Competition Under Mixed Multinomial Logit Demand Functions," Management Science, INFORMS, vol. 59(8), pages 1817-1835, August.
    5. Gu, Yiquan & Wenzel, Tobias, 2009. "Product variety, price elasticity of demand and fixed cost in spatial models," FAU Discussion Papers in Economics 03/2009, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    6. Alexander Konovalov & Zsolt Sándor, 2010. "On price equilibrium with multi-product firms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 271-292, August.
    7. González-Maestre, Miguel & Granero, Lluís M., 2020. "Excessive vs. insufficient entry in spatial models: When product design and market size matter," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 27-35.
    8. Gu, Yiquan & Wenzel, Tobias, 2009. "A note on the excess entry theorem in spatial models with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 567-571, September.
    9. repec:zbw:rwirep:0033 is not listed on IDEAS
    10. Yiquan Gu & Tobias Wenzel, 2007. "A Note on the Excess Entry Theorem in Spatial Models with Elastic Demand," Ruhr Economic Papers 0033, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.

    More about this item

    Keywords

    Imperfect competition; Characteristics approach; Price competition; Income heterogeneity; Variable individual demand.;
    All these keywords.

    JEL classification:

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

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