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Competitive search with private information: Can price signal quality?

Author

Listed:
  • James Albrecht

    (Georgetown University)

  • Xiaoming Cai

    (Peking University HSBC Business School)

  • Pieter Gautier

    (Vrije Universiteit Amsterdam)

  • Susan Vroman

    (Georgetown University)

Abstract
This paper considers competitive search equilibrium in a market for a good whose quality differs across sellers. Each seller knows the quality of the good that he or she is offering for sale, but buyers cannot observe quality directly. We thus have a “market for lemons†with competitive search frictions. In contrast to Akerlof (1970), we prove the existence of a unique equilibrium, which is separating. Higher-quality sellers post higher prices, so price signals quality. The arrival rate of buyers is lower in submarkets with higher prices, but this is less costly for higher-quality sellers given their higher continuation values. For some parameter values, higher-quality sellers post the full-information price; for other values these sellers have to post a higher price to keep lower-quality sellers from mimicking them. In an extension, we show that if sellers compete with auctions, the reserve price can also act as a signal.

Suggested Citation

  • James Albrecht & Xiaoming Cai & Pieter Gautier & Susan Vroman, 2024. "Competitive search with private information: Can price signal quality?," Tinbergen Institute Discussion Papers 24-054/VI, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20240054
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    File URL: https://papers.tinbergen.nl/24054.pdf
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    References listed on IDEAS

    as
    1. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    2. Veronica Guerrieri & Robert Shimer, 2014. "Dynamic Adverse Selection: A Theory of Illiquidity, Fire Sales, and Flight to Quality," American Economic Review, American Economic Association, vol. 104(7), pages 1875-1908, July.
    3. Barsanetti, Bruno & Camargo, Braz, 2022. "Signaling in dynamic markets with adverse selection," Journal of Economic Theory, Elsevier, vol. 206(C).
    4. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    5. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    6. Basil Williams, 2021. "Search, Liquidity, and Retention: Screening Multidimensional Private Information," Journal of Political Economy, University of Chicago Press, vol. 129(5), pages 1487-1507.
    7. Xiaoming Cai & Pieter Gautier & Ronald Wolthoff, 2023. "Meetings And Mechanisms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 155-185, February.
    8. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), July.
    9. Hellwig, Martin, 1987. "Some recent developments in the theory of competition in markets with adverse selection ," European Economic Review, Elsevier, vol. 31(1-2), pages 319-325.
    10. Delacroix, Alain & Shi, Shouyong, 2013. "Pricing and signaling with frictions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1301-1332.
    11. George A. Akerlof, 1970. "The Market for "Lemons": Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(3), pages 488-500.
    12. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    13. Briana Chang, 2018. "Adverse Selection and Liquidity Distortion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 275-306.
    14. Leland, Hayne E & Pyle, David H, 1977. "Informational Asymmetries, Financial Structure, and Financial Intermediation," Journal of Finance, American Finance Association, vol. 32(2), pages 371-387, May.
    15. Guido Menzio, 2007. "A Theory of Partially Directed Search," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 748-769, October.
    16. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    17. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    18. Kyungmin Kim & Philipp Kircher, 2015. "Efficient Competition Through Cheap Talk: The Case of Competing Auctions," Econometrica, Econometric Society, vol. 83(5), pages 1849-1875, September.
    19. Kyungmin Kim, 2012. "Endogenous market segmentation for lemons," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 562-576, September.
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    More about this item

    Keywords

    Competitive Search; Signaling;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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