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Search, Information and Prices

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  • Morris, Stephen
  • Bergemann, Dirk
  • Brooks, Benjamin A

Abstract

Consider a market with many 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 obtain a tight upper bound (under first-order stochastic dominance) on the equilibrium distribution of sale prices. The bound holds across all models of firms' common-prior higher-order beliefs about the price count, including the extreme cases of complete information (firms know the price count exactly) and no information (firms only know the ex ante distribution of the price count). A qualitative implication of our results is that even a small ex ante probability that the price count is one can lead to dramatic increases in the expected price. The bound also applies in a wide class of models where the price count distribution is endogenized, including models of simultaneous and sequential consumer search.

Suggested Citation

  • Morris, Stephen & Bergemann, Dirk & Brooks, Benjamin A, 2020. "Search, Information and Prices," CEPR Discussion Papers 14521, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:14521
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    1. 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.
    2. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    3. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    4. 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.
    5. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Glenn Ellison & Sara Fisher Ellison, 2009. "Search, Obfuscation, and Price Elasticities on the Internet," Econometrica, Econometric Society, vol. 77(2), pages 427-452, March.
    11. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-449, October.
    12. 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..
    13. 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.
    14. repec:cwl:cwldpp:1821rrr is not listed on IDEAS
    15. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    16. 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..
    17. Laura Doval & Jeffrey C. Ely, 2020. "Sequential Information Design," Econometrica, Econometric Society, vol. 88(6), pages 2575-2608, November.
    18. 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.
    19. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    20. 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.
    21. 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.
    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.
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    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.

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    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

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