IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2109.15198.html
   My bibliography  Save this paper

Nonlinear Prices, Homogeneous Goods, Search

Author

Listed:
  • Atabek Atayev

Abstract

We analyze competition on nonlinear prices in homogeneous goods markets with consumer search. In equilibrium firms offer two-part tariffs consisting of a linear price and lump-sum fee. The equilibrium production is socially efficient as the linear price of equilibrium two-part tariffs equals to the production marginal cost. Firms thus compete in lump-sum fees, which are dispersed in equilibrium. We show that sellers enjoy higher profit, whereas consumers are worse-off with two-part tariffs than with linear prices. The competition softens because with two-part tariffs firms can make effective per-consumer demand less elastic than the actual demand.

Suggested Citation

  • Atabek Atayev, 2021. "Nonlinear Prices, Homogeneous Goods, Search," Papers 2109.15198, arXiv.org.
  • Handle: RePEc:arx:papers:2109.15198
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2109.15198
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 493-510.
    2. Gugler, Klaus & Heim, Sven & Janssen, Maarten C. W. & Liebensteiner, Mario, 2018. "Market liberalization: Price dispersion, price discrimination and consumer search in the German electricity markets," ZEW Discussion Papers 18-042, ZEW - Leibniz Centre for European Economic Research.
    3. Yin, Xiangkang, 2004. "Two-part tariff competition in duopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 799-820, June.
    4. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
    5. Daniel F Garrett & Renato Gomes & Lucas Maestri, 2019. "Competitive Screening Under Heterogeneous Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(4), pages 1590-1630.
    6. Yuriy Gorodnichenko & Viacheslav Sheremirov & Oleksandr Talavera, 2018. "Price Setting in Online Markets: Does IT Click?," Journal of the European Economic Association, European Economic Association, vol. 16(6), pages 1764-1811.
    7. Saul Lach & José L. Moraga†González, 2017. "Asymmetric Price Effects of Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 65(4), pages 767-803, December.
    8. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    9. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    10. Wilde, Louis L., 1977. "Labor market equilibrium under nonsequential search," Journal of Economic Theory, Elsevier, vol. 16(2), pages 373-393, December.
    11. Walter Y. Oi, 1971. "A Disneyland Dilemma: Two-Part Tariffs for a Mickey Mouse Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(1), pages 77-96.
    12. Babur De Los Santos & Ali Hortacsu & Matthijs R. Wildenbeest, 2012. "Testing Models of Consumer Search Using Data on Web Browsing and Purchasing Behavior," American Economic Review, American Economic Association, vol. 102(6), pages 2955-2980, October.
    13. Hayes, Beth, 1987. "Competition and Two-Part Tariffs," The Journal of Business, University of Chicago Press, vol. 60(1), pages 41-54, January.
    14. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 277-311.
    15. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    16. Janssen, Maarten C.W. & Parakhonyak, Alexei, 2013. "Price matching guarantees and consumer search," International Journal of Industrial Organization, Elsevier, vol. 31(1), pages 1-11.
    17. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    18. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 465-491.
    19. Kohn, Meir G. & Shavell, Steven, 1974. "The theory of search," Journal of Economic Theory, Elsevier, vol. 9(2), pages 93-123, October.
    20. Stahl, Dale O, II, 1989. "Oligopolistic Pricing with Sequential Consumer Search," American Economic Review, American Economic Association, vol. 79(4), pages 700-712, September.
    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. Atayev, Atabek, 2021. "Nonlinear prices, homogeneous goods, search," ZEW Discussion Papers 21-092, ZEW - Leibniz Centre for European Economic Research.
    2. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    3. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2021. "Search, Information, and Prices," Journal of Political Economy, University of Chicago Press, vol. 129(8), pages 2275-2319.
    4. Atayev, Atabek, 2022. "Uncertain product availability in search markets," Journal of Economic Theory, Elsevier, vol. 204(C).
    5. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    6. Johannes Johnen & David Ronayne, 2021. "The only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 69(3), pages 595-614, September.
    7. David Ronayne, 2021. "Price Comparison Websites," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1081-1110, August.
    8. Natalia Fabra & Juan-Pablo Montero, 2022. "Product Lines and Price Discrimination in Markets with Information Frictions," Management Science, INFORMS, vol. 68(2), pages 981-1001, February.
    9. Atabek Atayev, 2021. "Uncertain Product Availability in Search Markets," Papers 2109.15211, arXiv.org.
    10. Glenn Ellison & Alexander Wolitzky, 2012. "A search cost model of obfuscation," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 417-441, September.
    11. Stahl, Dale O., 1996. "Oligopolistic pricing with heterogeneous consumer search," International Journal of Industrial Organization, Elsevier, vol. 14(2), pages 243-268.
    12. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
    13. Atayev, Atabek, 2021. "Uncertain product availability in search markets," ZEW Discussion Papers 21-089, ZEW - Leibniz Centre for European Economic Research.
    14. Gamp, Tobias & Krähmer, Daniel, 2022. "Biased Beliefs in Search Markets," Rationality and Competition Discussion Paper Series 365, CRC TRR 190 Rationality and Competition.
    15. Hämäläinen, Saara, 2018. "Competitive search obfuscation," Journal of Economic Dynamics and Control, Elsevier, vol. 97(C), pages 38-63.
    16. Jason R. Blevins & Garrett T. Senney, 2019. "Dynamic selection and distributional bounds on search costs in dynamic unit‐demand models," Quantitative Economics, Econometric Society, vol. 10(3), pages 891-929, July.
    17. Simon P. Anderson & Régis Renault & Claude Jessua, 1996. "Produits différenciés et information imparfaite des consommateurs," Revue Économique, Programme National Persée, vol. 47(3), pages 425-435.
    18. Griva, Krina & Vettas, Nikolaos, 2015. "On two-part tariff competition in a homogeneous product duopoly," International Journal of Industrial Organization, Elsevier, vol. 41(C), pages 30-41.
    19. David Ronayne, 2020. "The Only Dance in Town: Unique Equilibrium in a Generalized Model of Price Competition," Economics Series Working Papers 874, University of Oxford, Department of Economics.
    20. Backus, Matthew R. & Podwol, Joseph Uri & Schneider, Henry S., 2014. "Search costs and equilibrium price dispersion in auction markets," European Economic Review, Elsevier, vol. 71(C), pages 173-192.

    More about this item

    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:arx:papers:2109.15198. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.