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Customer Relationship and Sales

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  • Shouyong Shi

Abstract

I analyze a search equilibrium in a large market where customer relationship based on past trade arises endogenously together with service priority and sales. Specifically, there exists a unique equilibrium where it is optimal for a buyer to make repeat purchases from the related seller and optimal for a seller to give service priority to the related buyer. Customer relationship always improves welfare by reducing search frictions, but the equilibrium is socially efficient only when the buyer/seller ratio in the market is below a critical level. When the buyer/seller ratio exceeds this critical level, the equilibrium is inefficient because it fails to induce the coexistence of trading priority for related buyers and partial mixing of buyers for related sellers. Customer relationship induces price variations for individual sellers over time even when market conditions do not change. A seller posts a (high) regular price to sell to the related buyer and, once the seller loses the relationship, the seller posts a (low) sale price to sell to unrelated buyers until he gains a relationship. I also examine how market conditions affect the aggregate stock of relationships, markups, the size and the duration of a sale.

Suggested Citation

  • Shouyong Shi, 2013. "Customer Relationship and Sales," Working Papers tecipa-490, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-490
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    1. Kehoe, Patrick & Midrigan, Virgiliu, 2015. "Prices are sticky after all," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 35-53.
    2. Shi, Shouyong, 2016. "Customer relationship and sales," Journal of Economic Theory, Elsevier, vol. 166(C), pages 483-516.
    3. Peter J. Klenow & Oleksiy Kryvtsov, 2008. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 863-904.
    4. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    5. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    6. Dutta, Shantanu & Bergen, Mark & Levy, Daniel, 2002. "Price flexibility in channels of distribution: Evidence from scanner data," Journal of Economic Dynamics and Control, Elsevier, vol. 26(11), pages 1845-1900, September.
    7. Shouyong Shi, 2002. "Product Market and the Size-Wage Differential," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(1), pages 21-54, February.
    8. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    9. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    10. Luigi Paciello & Andrea Pozzi & Nicholas Trachter, 2019. "Price Dynamics With Customer Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(1), pages 413-446, February.
    11. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    12. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    13. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    14. Salop, S & Stiglitz, J E, 1982. "The Theory of Sales: A Simple Model of Equilibrium Price Dispersion with Identical Agents," American Economic Review, American Economic Association, vol. 72(5), pages 1121-1130, December.
    15. Paul Klemperer, 1995. "Competition when Consumers have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 515-539.
    16. 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.
    17. Veronica Guerrieri, 2008. "Inefficient Unemployment Dynamics under Asymmetric Information," Journal of Political Economy, University of Chicago Press, vol. 116(4), pages 667-708, August.
    18. Francisco M. Gonzalez & Shouyong Shi, 2010. "An Equilibrium Theory of Learning, Search, and Wages," Econometrica, Econometric Society, vol. 78(2), pages 509-537, March.
    19. Shi, Shouyong, 2006. "Wage differentials, discrimination and efficiency," European Economic Review, Elsevier, vol. 50(4), pages 849-875, May.
    20. 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.
    21. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    22. Kevin Lang & Michael Manove & William T. Dickens, 2005. "Racial Discrimination in Labor Markets with Posted Wage Offers," American Economic Review, American Economic Association, vol. 95(4), pages 1327-1340, September.
    23. François Gourio & Leena Rudanko, 2014. "Customer Capital," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1102-1136.
    24. 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.
    25. 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.
    26. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
    27. Joel Sobel, 1984. "The Timing of Sales," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 353-368.
    28. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    29. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October.
    30. Judith A. Chevalier & Anil K. Kashyap & Peter E. Rossi, 2003. "Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data," American Economic Review, American Economic Association, vol. 93(1), pages 15-37, March.
    31. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    32. Kyle Bagwell, 1987. "Introductory Price as a Signal of Cost in a Model of Repeat Business," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 365-384.
    33. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April.
    34. Delacroix, Alain & Shi, Shouyong, 2013. "Pricing and signaling with frictions," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1301-1332.
    35. Martin Pesendorfer, 2002. "Retail Sales: A Study of Pricing Behavior in Supermarkets," The Journal of Business, University of Chicago Press, vol. 75(1), pages 33-66, January.
    36. Guido Menzio, 2007. "A Theory of Partially Directed Search," Journal of Political Economy, University of Chicago Press, vol. 115(5), pages 748-769, October.
    37. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    38. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    39. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    40. Shouyong Shi, 2002. "A Directed Search Model of Inequality with Heterogeneous Skills and Skill-Biased Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 467-491.
    41. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
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    More about this item

    Keywords

    Customer relationship; Sales; Directed search;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General

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