IDEAS home Printed from https://ideas.repec.org/p/red/sed014/984.html
   My bibliography  Save this paper

Equilibrium Price Dispersion with Sequential Search

Author

Listed:
  • Nicholas Trachter

    (Federal Reserve Bank of Richmond)

  • Guido Menzio

    (University of Pennsylvania)

Abstract

We propose a novel theory of equilibrium price dispersion in product markets with search frictions. As in Diamond (1971), buyers search for sellers sequentially. In contrast to Diamond (1971), buyers do not meet all sellers with the same probability. Specifically, a fraction of the buyers’ meetings leads to one particular large seller, while the remaining fraction of the meetings leads to one of a continuum of small sellers. We prove that the unique equilibrium of this model is such that sellers post a non-degenerate distribution of prices and buyers capture a positive fraction of the gains from trade. The fraction of gains from trade accruing to the buyers is hump-shaped with respect to the market power of the large seller. However, for any degree of market power of the large seller, the fraction of gains from trade accruing to the buyers converges to one when search frictions vanish, and converges to zero when search frictions become arbitrarily large.

Suggested Citation

  • Nicholas Trachter & Guido Menzio, 2014. "Equilibrium Price Dispersion with Sequential Search," 2014 Meeting Papers 984, Society for Economic Dynamics.
  • Handle: RePEc:red:sed014:984
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2014/paper_984.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rothschild, Michael, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown," Journal of Political Economy, University of Chicago Press, vol. 82(4), pages 689-711, July/Aug..
    2. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
    3. Carlos Carrillo‐Tudela & Guido Menzio & Eric Smith, 2011. "Job Search With Bidder Memories," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(3), pages 639-655, August.
    4. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    5. John W. Pratt & David A. Wise & Richard Zeckhauser, 1979. "Price Differences in almost Competitive Markets," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 189-211.
    6. J. J. McCall, 1970. "Economics of Information and Job Search," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 84(1), pages 113-126.
    7. Greg Kaplan & Guido Menzio, 2015. "The Morphology Of Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1165-1206, November.
    8. Damien Gaumont & Martin Schindler & Randall Wright, 2006. "Alternative Theories of Wage Dispersion," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 61-82, Emerald Group Publishing Limited.
    9. Lars A. Stole & Jeffrey Zwiebel, 1996. "Intra-firm Bargaining under Non-binding Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 375-410.
    10. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    11. Reinganum, Jennifer F, 1979. "A Simple Model of Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 851-858, August.
    12. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    13. Albrecht, James W & Axell, Bo, 1984. "An Equilibrium Model of Search Unemployment," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 824-840, October.
    14. Rafael Rob, 1985. "Equilibrium Price Distributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 487-504.
    15. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    16. Roland Benabou, 1988. "Search, Price Setting and Inflation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 353-376.
    17. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    18. Michael Rothschild, 1974. "Searching for the Lowest Price When the Distribution of Prices Is Unknown: A Summary," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 1, pages 293-294, National Bureau of Economic Research, Inc.
    19. Curtis, Elisabeth & Wright, Randall, 2004. "Price setting, price dispersion, and the value of money: or, the law of two prices," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1599-1621, November.
    20. Kenneth Burdett & Tara Vishwanath, 1988. "Declining Reservation Wages and Learning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 655-665.
    21. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-690, September.
    22. Alan T. Sorensen, 2000. "Equilibrium Price Dispersion in Retail Markets for Prescription Drugs," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 833-862, August.
    23. 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.
    24. Stiglitz, Joseph E, 1987. "Competition and the Number of Firms in a Market: Are Duopolies More Competitive than Atomistic Markets?," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1041-1061, October.
    25. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nemet, Gregory F. & O’Shaughnessy, Eric & Wiser, Ryan & Darghouth, Naïm & Barbose, Galen & Gillingham, Ken & Rai, Varun, 2017. "Characteristics of low-priced solar PV systems in the U.S," Applied Energy, Elsevier, vol. 187(C), pages 501-513.
    2. Dudley Cooke, 2019. "Consumer Search, Incomplete Exchange Rate Pass‐Through, and Optimal Interest Rate Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(2-3), pages 455-484, March.
    3. Olivier Coibion & Yuriy Gorodnichenko & Dmitri Koustas, 2021. "Consumption Inequality and the Frequency of Purchases," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(4), pages 449-482, October.
    4. Chahrour, Ryan & Stevens, Luminita, 2020. "Price dispersion and the border effect," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 135-146.
    5. Ma, Qingyin & Stachurski, John, 2019. "Optimal timing of decisions: A general theory based on continuation values," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 62-81.
    6. Baughman, Garth & Rabinovich, Stanislav, 2019. "Self-confirming price dispersion in monetary economies," Journal of Economic Theory, Elsevier, vol. 183(C), pages 284-311.
    7. Petrikaite, Vaiva & Hämäläinen, Saara, 2018. "Mobility with private information and privacy suppression," CEPR Discussion Papers 12860, C.E.P.R. Discussion Papers.
    8. Gallin, Joshua & Verbrugge, Randal J., 2019. "A theory of sticky rents: Search and bargaining with incomplete information," Journal of Economic Theory, Elsevier, vol. 183(C), pages 478-519.
    9. Jose A. Carrasco & Rodrigo Yañez, 2022. "Sequential search and firm prominence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 209-233, July.
    10. Rao, Neel, 2022. "Search equilibrium with unobservable investment," Games and Economic Behavior, Elsevier, vol. 133(C), pages 300-330.
    11. Nicholas Trachter, 2016. "Price Dispersion When Stores Sell Multiple Goods," Economic Quarterly, Federal Reserve Bank of Richmond, issue 2Q, pages 127-146.
    12. José Tudón, 2021. "Can price dispersion be supported solely by information frictions?," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 75-90, April.

    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. José Tudón, 2021. "Can price dispersion be supported solely by information frictions?," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 75-90, April.
    2. Richard Rogerson & Robert Shimer & Randall Wright, 2004. "Search-Theoretic Models of the Labor Market-A Survey," NBER Working Papers 10655, National Bureau of Economic Research, Inc.
    3. Greg Kaplan & Guido Menzio & Leena Rudanko & Nicholas Trachter, 2019. "Relative Price Dispersion: Evidence and Theory," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 68-124, August.
    4. Carlos Carrillo‐Tudela & Guido Menzio & Eric Smith, 2011. "Job Search With Bidder Memories," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(3), pages 639-655, August.
    5. Guido Menzio & Nicholas Trachter, 2014. "Large and Small Sellers: A Theory of Equilibrium Price Dispersion with Sequential Search," NBER Working Papers 19990, National Bureau of Economic Research, Inc.
    6. Benjamin Eden, 2018. "Price Dispersion And Demand Uncertainty: Evidence From U.S. Scanner Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1035-1075, August.
    7. Gaumont, Damien & Schindler, Martin & Wright, Randall, 2006. "Alternative theories of wage dispersion," European Economic Review, Elsevier, vol. 50(4), pages 831-848, May.
    8. repec:smu:ecowpa:1301 is not listed on IDEAS
    9. ANDERSON, Simon & de PALMA, André, 2003. "Price dispersion," LIDAM Discussion Papers CORE 2003032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Saul Lach, 2002. "Existence And Persistence Of Price Dispersion: An Empirical Analysis," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 433-444, August.
    11. Fishman, Arthur & Simhon, Avi, 2003. "Can Income Equality Increase Competitiveness?," Discussion Papers 14983, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.
    12. Andreas Hornstein & Per Krusell & Giovanni L. Violante, 2011. "Frictional Wage Dispersion in Search Models: A Quantitative Assessment," American Economic Review, American Economic Association, vol. 101(7), pages 2873-2898, December.
    13. Burdett, Kenneth, 1989. "Search Market Models: A Survey," Working Paper Series 234, Research Institute of Industrial Economics.
    14. Rauh, Michael T., 2009. "Strategic complementarities and search market equilibrium," Games and Economic Behavior, Elsevier, vol. 66(2), pages 959-978, July.
    15. Xing Zhang & Tat Y. Chan & Ying Xie, 2018. "Price Search and Periodic Price Discounts," Management Science, INFORMS, vol. 64(2), pages 495-510, February.
    16. Alfredo Martín-Oliver & Vicente Salas-Fumás & Jesús Saurina, 2005. "Interest rate dispersion in deposit and loan markets," Working Papers 0506, Banco de España.
    17. Leung, Charles Ka Yui & Zhang, Jun, 2011. "“Fire Sales” in housing market: is the house-searching process similar to a theme park visit?," MPRA Paper 29127, University Library of Munich, Germany.
    18. Wolthoff, Ronald P., 2011. "It's About Time: Implications of the Period Length in an Equilibrium Job Search Model," IZA Discussion Papers 6002, Institute of Labor Economics (IZA).
    19. Simhon Avi & Fishman Arthur, 2011. "Income Distribution, Search and Market Efficiency," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-23, January.
    20. Jose A. Carrasco & Rodrigo Yañez, 2022. "Sequential search and firm prominence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 209-233, July.
    21. Stahl, Dale O., 1996. "Oligopolistic pricing with heterogeneous consumer search," International Journal of Industrial Organization, Elsevier, vol. 14(2), pages 243-268.

    More about this item

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

    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:red:sed014:984. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.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.