IDEAS home Printed from https://ideas.repec.org/p/bon/boncrc/crctr224_2025_678v2.html

Dual Pricing in a Model of Sales

Author

Listed:
  • Nicolas Schutz

  • Anton Sobolev

Abstract

We study the competitve effects of dual pricing, a vertical restraint that involves charging a distributor different prices for units intended to be resold online versus offline. We develop a model in which a manufacturer contracts with hybrid retailers selling both in-store and online. We find that, by eliminating wasteful price dispersion, dual pricing allows the manufacturer to induce the industry monopoly outcome, whereas uniform pricing does not. Despite this, a ban on dual pricing has negative welfare effects if the online market is small, if the offline consumers' search costs are high, and if the monopoly pass-through is high.

Suggested Citation

  • Nicolas Schutz & Anton Sobolev, 2025. "Dual Pricing in a Model of Sales," CRC TR 224 Discussion Paper Series crctr224_2025_678v2, University of Bonn and University of Mannheim, Germany, revised Jun 2025.
  • Handle: RePEc:bon:boncrc:crctr224_2025_678v2
    as

    Download full text from publisher

    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp678
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Joao Montez & Nicolas Schutz, 2021. "All-Pay Oligopolies: Price Competition with Unobservable Inventory Choices [Extremal Equilibria of Oligopolistic Supergames]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(5), pages 2407-2438.
    2. Alberto Cavallo, 2017. "Are Online and Offline Prices Similar? Evidence from Large Multi-channel Retailers," American Economic Review, American Economic Association, vol. 107(1), pages 283-303, January.
    3. Dmitry Lubensky, 2017. "A model of recommended retail prices," RAND Journal of Economics, RAND Corporation, vol. 48(2), pages 358-386, May.
    4. Anderson, Simon P. & Renault, Regis, 2003. "Efficiency and surplus bounds in Cournot competition," Journal of Economic Theory, Elsevier, vol. 113(2), pages 253-264, December.
    5. David Genesove & Wallace P. Mullin, 1998. "Testing Static Oligopoly Models: Conduct and Cost in the Sugar Industry, 1890-1914," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 355-377, Summer.
    6. G.F. Mathewson & R.A. Winter, 1984. "An Economic Theory of Vertical Restraints," RAND Journal of Economics, The RAND Corporation, vol. 15(1), pages 27-38, Spring.
    7. Sandro Shelegia & Chris M. Wilson, 2021. "A Generalized Model of Advertised Sales," American Economic Journal: Microeconomics, American Economic Association, vol. 13(1), pages 195-223, February.
    Full references (including those not matched with items on IDEAS)

    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. repec:bon:boncrc:crctr224_2025_678 is not listed on IDEAS
    2. Helfrich, Magdalena & Herweg, Fabian, 2020. "Context-dependent preferences and retailing: Vertical restraints on internet sales," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 87(C).
    3. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    4. Robert A. Ritz, 2014. "On Welfare Losses Due to Imperfect Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 62(1), pages 167-190, March.
    5. De los Santos, Babur & Kim, In Kyung & Lubensky, Dmitry, 2018. "Do MSRPs decrease prices?," International Journal of Industrial Organization, Elsevier, vol. 59(C), pages 429-457.
      • Babur De los Santos & In Kyung Kim & Dmitry Lubensky, 2013. "Do MSRPs Decrease Prices?," Working Papers 2013-13, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    6. Herweg, Fabian & Helfrich, Magdalena, 2017. "Salience in Retailing: Vertical Restraints on Internet Sales," CEPR Discussion Papers 11948, Centre for Economic Policy Research.
    7. Rhodes, Andrew & Yang, Yang, 2025. "Resale Price Maintenance and Consumer Search," TSE Working Papers 25-1695, Toulouse School of Economics (TSE), revised 10 Jun 2026.
    8. Martimort, David & Pouyet, Jérôme, 2024. "The Incentive Virtues of Performance-Based Trade Allowances and Loss Leading," TSE Working Papers 24-1564, Toulouse School of Economics (TSE), revised Feb 2026.
    9. Kazunobu Hayakawa & Hiroshi Mukunoki & Shujiro Urata, 2023. "Can e-commerce mitigate the negative impact of COVID-19 on international trade?," The Japanese Economic Review, Springer, vol. 74(2), pages 215-232, April.
    10. Simon P. Anderson & Régis Renault, 2011. "Price Discrimination," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 22, Edward Elgar Publishing.
    11. Hovhannisyan, Vardges & Stiegert, Kyle W. & Bozic, Marin, 2013. "On Endogeneity Of Retail Market Power In An Equilibrium Analysis: A Control Function Approach," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149830, Agricultural and Applied Economics Association.
    12. Xiao, Junji & Ju, Heng, 2016. "The determinants of dealership structure: Empirical analysis of the Chinese auto market," Journal of Comparative Economics, Elsevier, vol. 44(4), pages 961-981.
    13. Sofia Berto Villas-Boas, 2007. "Vertical Relationships between Manufacturers and Retailers: Inference with Limited Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 625-652.
    14. Suguru Otani, 2024. "Industry Dynamics with Cartels: The Case of the Container Shipping Industry," Discussion Paper Series DP2024-28, Research Institute for Economics & Business Administration, Kobe University.
    15. Neslin, Scott A., 2022. "The omnichannel continuum: Integrating online and offline channels along the customer journey," Journal of Retailing, Elsevier, vol. 98(1), pages 111-132.
    16. Leela Nageswaran & Soo-Haeng Cho & Alan Scheller-Wolf, 2020. "Consumer Return Policies in Omnichannel Operations," Management Science, INFORMS, vol. 66(12), pages 5558-5575, December.
    17. Barrie R. Nault & Rajeev K. Tyagi, 2001. "Implementable Mechanisms to Coordinate Horizontal Alliances," Management Science, INFORMS, vol. 47(6), pages 787-799, June.
    18. João Montez, 2015. "Controlling opportunism in vertical contracting when production precedes sales," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 650-670, September.
    19. Benchimol, Jonathan & Palumbo, Luigi, 2024. "Sanctions and Russian online prices," Journal of Economic Behavior & Organization, Elsevier, vol. 225(C), pages 483-521.
    20. Elizabeth Emperatriz García-Salirrosas & Dany Yudet Millones-Liza & Jorge Alberto Esponda-Pérez & Ángel Acevedo-Duque & Jessica Müller-Pérez & Lisette C. Sánchez Díaz, 2022. "Factors Influencing Loyalty to Health Food Brands: An Analysis from the Value Perceived by the Peruvian Consumer," Sustainability, MDPI, vol. 14(17), pages 1-16, August.
    21. Mansur, Erin T, 2007. "Upstream Competition and Vertical Integration in Electricity Markets," Journal of Law and Economics, University of Chicago Press, vol. 50(1), pages 125-156, February.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L42 - Industrial Organization - - Antitrust Issues and Policies - - - Vertical Restraints; Resale Price Maintenance; Quantity Discounts
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bon:boncrc:crctr224_2025_678v2. 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: CRC Office (email available below). General contact details of provider: https://www.crctr224.de .

    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.