IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v108y2020icp27-37.html
   My bibliography  Save this article

Bertrand–Edgeworth competition with substantial horizontal product differentiation

Author

Listed:
  • Somogyi, Robert

Abstract

Since Kreps and Scheinkman’s seminal article (1983) a large number of papers have analyzed capacity constraints’ potential to relax price competition. However, the majority of the ensuing literature has assumed that products are either perfect or very close substitutes. Therefore very little is known about the interaction between capacity constraints and local monopoly power. The aim of the present paper is to shed light on this question using a standard Hotelling setup. The high level of product differentiation results in a variety of equilibrium firm behavior and it generates at least one pure-strategy equilibrium for any capacity level.

Suggested Citation

  • Somogyi, Robert, 2020. "Bertrand–Edgeworth competition with substantial horizontal product differentiation," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 27-37.
    • Handle: RePEc:eee:matsoc:v:108:y:2020:i:c:p:27-37
    DOI: 10.1016/j.mathsocsci.2020.08.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016548962030086X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2020.08.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Thomas P. Lyon, 1999. "Quality Competition, Insurance, and Consumer Choice in Health Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(4), pages 546-580, December.
    2. Yin, Xiangkang, 2004. "Two-part tariff competition in duopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 799-820, June.
    3. Koji Ishibashi & Toyokazu Kaneko, 2008. "Partial privatization in mixed duopoly with price and quality competition," Journal of Economics, Springer, vol. 95(3), pages 213-231, December.
    4. Kurt R. Brekke & Robert Nuscheler & Odd Rune Straume, 2006. "Quality and Location Choices under Price Regulation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 207-227, March.
    5. Esther Gal‐Or, 1997. "Exclusionary Equilibria in Health‐Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 5-43, March.
    6. Jean-Pascal Benassy, 1989. "Market Size and Substitutability in Imperfect Competition: A Bertrand-Edgeworth-Chamberlin Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(2), pages 217-234.
    7. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    8. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    9. Acemoglu, Daron & Bimpikis, Kostas & Ozdaglar, Asuman, 2009. "Price and capacity competition," Games and Economic Behavior, Elsevier, vol. 66(1), pages 1-26, May.
    10. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    11. Xavier Wauthy, 1996. "Capacity constraints may restore the existence of an equilibrium in the Hotelling model," Journal of Economics, Springer, vol. 64(3), pages 315-324, October.
    12. Hunold, Matthias & Muthers, Johannes, 2019. "Spatial competition and price discrimination with capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    13. Canoy, Marcel, 1996. "Product Differentiation in a Bertrand-Edgeworth Duopoly," Journal of Economic Theory, Elsevier, vol. 70(1), pages 158-179, July.
    14. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    15. WAUTHY, Xavier Y., 2014. "From Bertrand to Cournot via Kreps and Scheinkman: a hazardous journey," LIDAM Discussion Papers CORE 2014026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Lemus, Ana B. & Moreno, Diego, 2017. "Price caps with capacity precommitment," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 131-158.
    17. Skander Essegaier & Sunil Gupta & Z. John Zhang, 2002. "Pricing Access Services," Marketing Science, INFORMS, vol. 21(2), pages 139-159, June.
    18. Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
    19. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Matthias Hunold & Kai Hüschelrath & Ulrich Laitenberger & Johannes Muthers, 2020. "Competition, Collusion, and Spatial Sales Patterns: Theory and Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 68(4), pages 737-779, December.
    2. Peter-J. Jost, 2024. "Market expansion and the scope of mass customization," Marketing Letters, Springer, vol. 35(1), pages 73-94, March.
    3. Jinho Jung & Juan Sesmero & Ralph Siebert, 2022. "A structural estimation of spatial differentiation and market power in input procurement," American Journal of Agricultural Economics, John Wiley & Sons, vol. 104(2), pages 613-644, March.
    4. Gu, Wei & Heese, H. Sebastian & Kemahlıoğlu-Ziya, Eda & Ziya, Serhan, 2024. "Pricing for services with cross-segment externalities, capacity constraints, and competition," European Journal of Operational Research, Elsevier, vol. 313(2), pages 801-813.

    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. Robert Somogyi, 2013. "Bertrand-Edgeworth competition with substantial product differentiation," CERS-IE WORKING PAPERS 1332, Institute of Economics, Centre for Economic and Regional Studies.
    2. Christiaan Behrens & Mark Lijesen, 2012. "Capacity Choice under Uncertainty with Product Differentiation," Tinbergen Institute Discussion Papers 12-113/VIII, Tinbergen Institute, revised 20 Feb 2014.
    3. Hunold, Matthias & Muthers, Johannes, 2019. "Spatial competition and price discrimination with capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    4. Matthias Hunold & Kai Hüschelrath & Ulrich Laitenberger & Johannes Muthers, 2020. "Competition, Collusion, and Spatial Sales Patterns: Theory and Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 68(4), pages 737-779, December.
    5. Gilad Sorek, 2015. "Health Insurance and Competition in Health Care Markets," Auburn Economics Working Paper Series auwp2015-03, Department of Economics, Auburn University.
    6. James D. Dana Jr. & Kevin R. Williams, 2018. "This paper develops an oligopoly model in which firms first choose capacity and then compete in prices in a series of advance-purchase markets. We show the existence of multiple sales opportunities cr," Cowles Foundation Discussion Papers 2136R4, Cowles Foundation for Research in Economics, Yale University, revised Nov 2021.
    7. Somogyi, Robert & Vergote, Wouter & Virag, Gabor, 2023. "Price competition with capacity uncertainty - feasting on leftovers," Games and Economic Behavior, Elsevier, vol. 140(C), pages 253-271.
    8. James D. Dana Jr. & Kevin R. Williams, 2018. "Intertemporal Price Discrimination in Sequential Quantity-Price Games," Cowles Foundation Discussion Papers 2136R2, Cowles Foundation for Research in Economics, Yale University, revised Mar 2019.
    9. James D. Dana Jr. & Kevin R. Williams, 2020. "Intertemporal Price Discrimination in Sequential Quantity-Price Games," NBER Working Papers 26794, National Bureau of Economic Research, Inc.
    10. Edwards, Robert A. & Routledge, Robert R., 2022. "Information, Bertrand–Edgeworth competition and the law of one price," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    11. James D. Dana Jr. & Kevin R. Williams, 2018. "Intertemporal Price Discrimination in Sequential Quantity-Price Games," Cowles Foundation Discussion Papers 2136R3, Cowles Foundation for Research in Economics, Yale University, revised Feb 2020.
    12. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    13. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    14. Alexander Maslov, 2023. "Bertrand Duopoly in Online Consumer-to-Consumer Markets," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 63(1), pages 97-109, August.
    15. Sinitsyn, Maxim, 2009. "Price dispersion in duopolies with heterogeneous consumers," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 197-205, March.
    16. Tasnádi, Attila, 2001. "A Bertrand-Edgeworth-oligopóliumok. Irodalmi áttekintés [Bertrand-Edgeworth oligopolies - a survey of the literature]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1081-1092.
    17. Mongoljin Batsaikhan & Norovsambuu Tumennasan, 2018. "Output Decisions and Price Matching: Theory and Experiment," Management Science, INFORMS, vol. 64(8), pages 3609-3624, August.
    18. Jinho Jung & Juan Sesmero & Ralph Siebert, 2022. "A structural estimation of spatial differentiation and market power in input procurement," American Journal of Agricultural Economics, John Wiley & Sons, vol. 104(2), pages 613-644, March.
    19. Sorek Gilad, 2016. "Competition and Product Choice in Option Demand Markets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(2), pages 785-805, April.
    20. Bos, Iwan & Vermeulen, Dries, 2021. "On pure-strategy Nash equilibria in price–quantity games," Journal of Mathematical Economics, Elsevier, vol. 96(C).

    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:eee:matsoc:v:108:y:2020:i:c:p:27-37. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.