IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-00265701.html
   My bibliography  Save this paper

Vertical differentiation with non-uniform consumers' distribution

Author

Listed:
  • Jean-Marc Bonnisseau

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, Axe Economie mathématique et jeux - CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Rim Lahmandi-Ayed

    (LEGI - Laboratoire d'Économie et de Gestion Industrielle [Tunis] - Ecole Polytechnique de Tunisie - UCAR - Université de Carthage (Tunisie))

Abstract

This note explores a vertical differentiation model with a continuous non-uniform consumers' distribution. First, a result concerning the finiteness property obtained with uniform consumers' distribution is generalized. Second, we prove an existence result of price equilibrium when the distribution is concave. Finally, we exhibit a counter-example to the existence of price equilibrium to show that the concavity assumption is not superfluous.

Suggested Citation

  • Jean-Marc Bonnisseau & Rim Lahmandi-Ayed, 2007. "Vertical differentiation with non-uniform consumers' distribution," PSE-Ecole d'économie de Paris (Postprint) halshs-00265701, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00265701
    DOI: 10.1111/j.1742-7363.2007.00054.x
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kim, Joo-Han & Kim, Jae-Cheol, 1996. "Quality choice of multiproduct monopolist and spill-over effect," Economics Letters, Elsevier, vol. 52(3), pages 345-352, September.
    2. Rim Lahmandi-Ayed, 2004. "Finiteness property in vertically differentiated markets: a note on locally increasing and decreasing returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 371-382, January.
    3. Acharyya, Rajat, 1998. "Monopoly and product quality: Separating or pooling menu?," Economics Letters, Elsevier, vol. 61(2), pages 187-194, November.
    4. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    5. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-1483, September.
    6. Lahmandi-Ayed, Rim, 2000. "Natural Oligopolies: A Vertical Differentiation Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(4), pages 971-987, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Coloma, Germán, 2023. "Demand estimation and market definition in quality-differentiated products: The case of beer in Argentina," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 69, pages 48-64.
    2. Encaoua David & Hollander Abraham, 2007. "First-Degree Discrimination by a Duopoly: Pricing and Quality Choice," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-21, May.
    3. C. Benassi & A. Chirco & C. Colombo, 2015. "Beyond the Uniform Distribution: Equilibrium Prices and Qualities in a Vertically Differentiated Duopoly," Working Papers wp1044, Dipartimento Scienze Economiche, Universita' di Bologna.
    4. Janko Hernández Cortés & Paolo Morganti, 2022. "Existence and uniqueness of price equilibria in location-based models of differentiation with full coverage," Journal of Economics, Springer, vol. 136(2), pages 115-148, July.
    5. Corrado Benassi & Alessandra Chirco & Caterina Colombo, 2019. "Vertical differentiation beyond the uniform distribution," Journal of Economics, Springer, vol. 126(3), pages 221-248, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Auer, Raphael A. & Sauré, Philip, 2017. "Dynamic entry in vertically differentiated markets," Journal of Economic Theory, Elsevier, vol. 167(C), pages 177-205.
    2. Lahmandi-Ayed, Rim, 2010. "Spatial differentiation, divisible consumption and the pro-competitive effect of income," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 71-85, January.
    3. repec:ebl:ecbull:v:4:y:2008:i:34:p:1-10 is not listed on IDEAS
    4. Emanuele Bacchiega & Olivier Bonroy & Emmanuel Petrakis, 2018. "Contract contingency in vertically related markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(4), pages 772-791, October.
    5. Gabszewicz, Jean J. & Wauthy, Xavier Y., 2002. "Quality underprovision by a monopolist when quality is not costly," Economics Letters, Elsevier, vol. 77(1), pages 65-72, September.
    6. Raphael Auer & Philip Sauré, 2011. "Spatial Competition in Quality, Demand Induced Innovation, and Schumpeterian Growth," DEGIT Conference Papers c016_067, DEGIT, Dynamics, Economic Growth, and International Trade.
    7. Acharyya, Rajat & Banerjee, Swapnendu, 2012. "On tariff and quality innovation in a market with discrete preferences," Economic Modelling, Elsevier, vol. 29(3), pages 917-925.
    8. Onur A. Koska, 2020. "Sourcing product quality for foreign market entry," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 156(3), pages 669-702, August.
    9. Ornella Tarola & Cecilia Vergari, 2015. "Asymmetric Complements in a Vertically Differentiated Market: Competition or Integration?," Manchester School, University of Manchester, vol. 83(1), pages 72-100, January.
    10. Janko Hernández Cortés & Paolo Morganti, 2022. "Existence and uniqueness of price equilibria in location-based models of differentiation with full coverage," Journal of Economics, Springer, vol. 136(2), pages 115-148, July.
    11. Gabszewicz, J. & Turrini, A., 2000. "Workers' skills, product quality and industry equilibrium," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 575-593, May.
    12. Acharyya, Rajat, 1998. "Monopoly and product quality: Separating or pooling menu?," Economics Letters, Elsevier, vol. 61(2), pages 187-194, November.
    13. Kurt R. Brekke & Luigi Siciliani & Odd Rune Straume, 2017. "Horizontal mergers and product quality," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(4), pages 1063-1103, November.
    14. Cellini, Roberto & Siciliani, Luigi & Straume, Odd Rune, 2018. "A dynamic model of quality competition with endogenous prices," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 190-206.
    15. Krueger Malte, 2015. "Do the Poor Pay for Card Rewards of the Rich?," Review of Economics, De Gruyter, vol. 66(2), pages 129-154, August.
    16. Rim Lahmandi-Ayed, 2007. "Finiteness property with vertical and horizontal differentiation: does it really matter?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 531-548, December.
    17. Catherine Matraves & Laura Rondi, 2007. "Product Differentiation, Industry Concentration and Market Share Turbulence," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 14(1), pages 37-57.
    18. Brekke, Kurt R. & Siciliani, Luigi & Straume, Odd Rune, 2010. "Price and quality in spatial competition," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 471-480, November.
    19. Frascatore, Mark R., 1999. "The grouping of stars: An application to professional sports," International Journal of Industrial Organization, Elsevier, vol. 17(7), pages 1009-1027, October.
    20. Acharyya, Rajat, 2005. "Quality discrimination among income constrained consumers," Economics Letters, Elsevier, vol. 86(2), pages 245-251, February.
    21. Wright, Donald J., 2004. "The drug bargaining game: pharmaceutical regulation in Australia," Journal of Health Economics, Elsevier, vol. 23(4), pages 785-813, July.

    More about this item

    Keywords

    vertical differentiation; non-uniform distribution; finiteness property; price equilibrium existence;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:pseptp:halshs-00265701. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.