IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/2224r2.html
   My bibliography  Save this paper

Search, Information, and Prices

Author

Listed:

Abstract

Consider a market with identical firms offering a homogeneous good. A consumer obtains price quotes from a subset of firms and buys from the firm offering the lowest price. The "price count" is the number of firms from which the consumer obtains a quote. For any given ex ante distribution of the price count, we derive a tight upper bound (under first-order stochastic dominance) on the equilibrium distribution of sales prices. The bound holds across all models of firms' common-prior higher-order beliefs about the price count, including the extreme cases of full information (firms know the price count) and no information (firms only know the ex ante distribution of the price count). A qualitative implication of our results is that a small ex ante probability that the price count is equal to one can lead to a large increase in the expected price. The bound also applies in a large class of models where the price count distribution is endogenously determined, including models of simultaneous and sequential consumer search.

Suggested Citation

  • Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2020. "Search, Information, and Prices," Cowles Foundation Discussion Papers 2224R2, Cowles Foundation for Research in Economics, Yale University, revised Nov 2020.
  • Handle: RePEc:cwl:cwldpp:2224r2
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d22/d2224-r2.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Geoffroy de Clippel & Kfir Eliaz & Kareen Rozen, 2014. "Competing for Consumer Inattention," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1203-1234.
    2. Helmuts Āzacis & Péter Vida, 2015. "Collusive communication schemes in a first-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 125-160, January.
    3. Rothschild, Michael, 1973. "Models of Market Organization with Imperfect Information: A Survey," Journal of Political Economy, University of Chicago Press, vol. 81(6), pages 1283-1308, Nov.-Dec..
    4. Laura Doval & Jeffrey C. Ely, 2020. "Sequential Information Design," Econometrica, Econometric Society, vol. 88(6), pages 2575-2608, November.
    5. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    6. 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.
    7. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    8. Michael R. Baye & John Morgan & Patrick Scholten, 2006. "Information, Search, and Price Dispersion," Working Papers 2006-11, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    9. Benjamin Lester & Ali Shourideh & Venky Venkateswaran & Ariel Zetlin-Jones, 2019. "Screening and Adverse Selection in Frictional Markets," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 338-377.
    10. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    11. Patrick Bajari & Lixin Ye, 2003. "Deciding Between Competition and Collusion," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 971-989, November.
    12. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    13. Hanming Fang & Stephen Morris, 2012. "Multidimensional Private Value Auctions," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 9, pages 319-356, World Scientific Publishing Co. Pte. Ltd..
    14. Han Hong & Matthew Shum, 2006. "Using price distributions to estimate search costs," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 257-275, June.
    15. 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.
    16. Abrantes-Metz, Rosa M. & Froeb, Luke M. & Geweke, John & Taylor, Christopher T., 2006. "A variance screen for collusion," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 467-486, May.
    17. 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.
    18. Glenn Ellison & Sara Fisher Ellison, 2009. "Search, Obfuscation, and Price Elasticities on the Internet," Econometrica, Econometric Society, vol. 77(2), pages 427-452, March.
    19. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-449, October.
    20. repec:cwl:cwldpp:1821rrr is not listed on IDEAS
    21. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    22. 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.
    23. David P. Myatt, 2019. "A Theory of Stable Price Dispersion," Economics Series Working Papers 873, University of Oxford, Department of Economics.
    24. Glenn Ellison & Alexander Wolitzky, 2012. "A search cost model of obfuscation," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 417-441, September.
    25. Ilya Segal & Michael D. Whinston, 2003. "Robust Predictions for Bilateral Contracting with Externalities," Econometrica, Econometric Society, vol. 71(3), pages 757-791, May.
    26. Stahl, Dale O, II, 1989. "Oligopolistic Pricing with Sequential Consumer Search," American Economic Review, American Economic Association, vol. 79(4), pages 700-712, September.
    27. Janssen, Maarten C.W. & Moraga-Gonzalez, Jose Luis & Wildenbeest, Matthijs R., 2005. "Truly costly sequential search and oligopolistic pricing," International Journal of Industrial Organization, Elsevier, vol. 23(5-6), pages 451-466, June.
    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. Mark Armstrong & John Vickers, 2022. "Patterns of Competitive Interaction," Econometrica, Econometric Society, vol. 90(1), pages 153-191, January.
    2. Mark Armstrong & Jidong Zhou, 2022. "Consumer Information and the Limits to Competition," American Economic Review, American Economic Association, vol. 112(2), pages 534-577, February.
    3. Dirk Bergemann & Alessandro Bonatti, 2024. "Data, Competition, and Digital Platforms," American Economic Review, American Economic Association, vol. 114(8), pages 2553-2595, August.
    4. Teh, Christopher & Wang, Chengsi & Watanabe, Makoto, 2024. "Strategic limitation of market accessibility: Search platform design and welfare," Journal of Economic Theory, Elsevier, vol. 216(C).
    5. Groh, Carl-Christian, 2023. "Search, Data, and Market Power," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277701, Verein für Socialpolitik / German Economic Association.
    6. Vickers, John, 2021. "Competition for imperfect consumers," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    7. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2020. "Competition and Public Information: A Note," Cowles Foundation Discussion Papers 2234, Cowles Foundation for Research in Economics, Yale University.
    8. Brian C. Albrecht & Mark Whitmeyer, 2023. "Comparison Shopping: Learning Before Buying From Duopolists," Papers 2302.06580, arXiv.org, revised Apr 2023.
    9. Carl-Christian Groh, & Jonas von Wangenheim, 2024. "Pigou Meets Wolinsky: Search, Price Discrimination, and Consumer Sophistication," CRC TR 224 Discussion Paper Series crctr224_2024_527, University of Bonn and University of Mannheim, Germany.

    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. Xulia González & Daniel Miles-Touya, 2018. "Price dispersion, chain heterogeneity, and search in online grocery markets," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(1), pages 115-139, March.
    2. Hämäläinen, Saara, 2018. "Competitive search obfuscation," Journal of Economic Dynamics and Control, Elsevier, vol. 97(C), pages 38-63.
    3. Wilson, Chris M., 2010. "Ordered search and equilibrium obfuscation," International Journal of Industrial Organization, Elsevier, vol. 28(5), pages 496-506, September.
    4. 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.
    5. 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.
    6. Mark Armstrong & John Vickers, 2022. "Patterns of Competitive Interaction," Econometrica, Econometric Society, vol. 90(1), pages 153-191, January.
    7. Maarten Janssen & Paul Pichler & Simon Weidenholzer, 2009. "Sequential Search with Incompletely Informed Consumers: Theory and Evidence from Retail Gasoline Markets," Vienna Economics Papers 0914, University of Vienna, Department of Economics.
    8. 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.
    9. Rauh, Michael T., 2009. "Strategic complementarities and search market equilibrium," Games and Economic Behavior, Elsevier, vol. 66(2), pages 959-978, July.
    10. Monica Giulietti & Michael Waterson & Matthijs Wildenbeest, 2014. "Estimation of Search Frictions in the British Electricity Market," Journal of Industrial Economics, Wiley Blackwell, vol. 62(4), pages 555-590, December.
    11. 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.
    12. 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.
    13. Florian Morath & Johannes Münster, 2018. "Online Shopping and Platform Design with Ex Ante Registration Requirements," Management Science, INFORMS, vol. 64(1), pages 360-380, January.
    14. Donna, Javier D. & Schenone, Pablo & Veramendi, Gregory F., 2020. "Networks, frictions, and price dispersion," Games and Economic Behavior, Elsevier, vol. 124(C), pages 406-431.
    15. Glenn Ellison & Alexander Wolitzky, 2012. "A search cost model of obfuscation," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 417-441, September.
    16. Chen, Yongmin & Zhang, Tianle, 2011. "Equilibrium price dispersion with heterogeneous searchers," International Journal of Industrial Organization, Elsevier, vol. 29(6), pages 645-654.
    17. Atayev, Atabek, 2022. "Uncertain product availability in search markets," Journal of Economic Theory, Elsevier, vol. 204(C).
    18. Obradovits, Martin, 2015. "Going to the Discounter: Consumer Search with Local Market Heterogeneities," MPRA Paper 66613, University Library of Munich, Germany.
    19. Atabek Atayev, 2021. "Nonlinear Prices, Homogeneous Goods, Search," Papers 2109.15198, arXiv.org.
    20. Michael Grubb, 2015. "Failing to Choose the Best Price: Theory, Evidence, and Policy," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 47(3), pages 303-340, November.

    More about this item

    Keywords

    Search; Price Competition; Bertrand Competition; Law of One Price; Price Count; Price Quote; Information Structure; Bayes Correlated Equilibrium;
    All these keywords.

    JEL classification:

    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • 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:cwl:cwldpp:2224r2. 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: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.html .

    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.