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Firm Dynamics and Pricing under Customer Capital Accumulation

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  • Pau Roldan

    (New York University)

  • Sophia Gilbukh

    (NYU Stern)

Abstract

What is the relationship between the rate at which firms accumulate their stock of demand over time and the prices that they set for their products? This paper analyzes the implications of cus- tomer capital accumulation for firms’ pricing behavior and firm dynamics. We build an analytically tractable directed search model of the product market in which firms are ex-post heterogeneous in their customer base and commit to the prices they post. The model features dynamic contracts with endogenous customer reallocation, endogenous entry and exit of firms, and allows for an exact characterization of the firm distribution. Price rigidity at the firm level emerges as an equilibrium outcome, and there is price dispersion in the cross-section because firms of different sizes use differ- ent pricing strategies to strike a balance between attracting new customers and retaining incumbent ones. We show that our mechanism can generate realistic firm dynamics, a right-skewed firm size distribution, and size- and age-dependent markups which are in line with the data.

Suggested Citation

  • Pau Roldan & Sophia Gilbukh, 2017. "Firm Dynamics and Pricing under Customer Capital Accumulation," 2017 Meeting Papers 1235, Society for Economic Dynamics.
    • Handle: RePEc:red:sed017:1235
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    1. Simon Gilchrist & Raphael Schoenle & Jae Sim & Egon Zakrajšek, 2017. "Inflation Dynamics during the Financial Crisis," American Economic Review, American Economic Association, vol. 107(3), pages 785-823, March.
    2. Giuseppe Moscarini & Fabien Postel-Vinay, 2013. "Stochastic Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1545-1581.
    3. Renner, Elke & Tyran, Jean-Robert, 2004. "Price rigidity in customer markets," Journal of Economic Behavior & Organization, Elsevier, vol. 55(4), pages 575-593, December.
    4. Petrosky-Nadeau, Nicolas & Wasmer, Etienne & Zeng, Shutian, 2016. "Shopping time," Economics Letters, Elsevier, vol. 143(C), pages 52-60.
    5. 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.
    6. repec:clu:wpaper:0708-12 is not listed on IDEAS
    7. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    8. Leo Kaas & Philipp Kircher, 2015. "Efficient Firm Dynamics in a Frictional Labor Market," American Economic Review, American Economic Association, vol. 105(10), pages 3030-3060, October.
    9. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 961-1013.
    10. Jordi Galí & Mark Gertler & J. David López-Salido, 2007. "Markups, Gaps, and the Welfare Costs of Business Fluctuations," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 44-59, November.
    11. Justiniano, Alejandro & Primiceri, Giorgio E. & Tambalotti, Andrea, 2010. "Investment shocks and business cycles," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 132-145, March.
    12. Laurent Cavenaile & Pau Roldan-Blanco, 2021. "Advertising, Innovation, and Economic Growth," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 251-303, July.
    13. Robert E. Hall, 2008. "General Equilibrium with Customer Relationships: A Dynamic Analysis of Rent-Seeking," 2008 Meeting Papers 312, Society for Economic Dynamics.
    14. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    15. Petrosky-Nadeau, Nicolas & Wasmer, Etienne, 2015. "Macroeconomic dynamics in a model of goods, labor, and credit market frictions," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 97-113.
    16. 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, pages 1165-1206, November.
    17. Fishman, Arthur & Rob, Rafael, 2003. "Consumer inertia, firm growth and industry dynamics," Journal of Economic Theory, Elsevier, vol. 109(1), pages 24-38, March.
    18. Benjamin Wild Pugsley & Ay’egul ahin, 2019. "Grown-up Business Cycles," The Review of Financial Studies, Society for Financial Studies, vol. 32(3), pages 1102-1147.
    19. 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.
    20. 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.
    21. Guido Menzio, 2007. "A Search Theory of Rigid Prices," PIER Working Paper Archive 07-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    22. Michael W. L. Elsby & Ryan Michaels, 2013. "Marginal Jobs, Heterogeneous Firms, and Unemployment Flows," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(1), pages 1-48, January.
    23. Lukasz A. Drozd & Jaromir B. Nosal, 2012. "Understanding International Prices: Customers as Capital," American Economic Review, American Economic Association, vol. 102(1), pages 364-395, February.
    24. Apel, Mikael & Friberg, Richard & Hallsten, Kerstin, 2005. "Microfoundations of Macroeconomic Price Adjustment: Survey Evidence from Swedish Firms," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 313-338, April.
    25. Burdett, Kenneth & Coles, Melvyn G., 1997. "Steady State Price Distributions in a Noisy Search Equilibrium," Journal of Economic Theory, Elsevier, vol. 72(1), pages 1-32, January.
    26. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    27. Maurice Kugler & Eric Verhoogen, 2012. "Prices, Plant Size, and Product Quality," Review of Economic Studies, Oxford University Press, vol. 79(1), pages 307-339.
    28. Carlsson, Mikael & Messina, Julián & Nordström Skans, Oskar, 2014. "Firm-Level Shocks and Labor Adjustments," Working Paper Series, Center for Labor Studies 2014:13, Uppsala University, Department of Economics.
    29. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    30. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    31. Chang-Tai Hsieh & Peter J. Klenow, 2014. "The Life Cycle of Plants in India and Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1035-1084.
    32. Julio J. Rotemberg & Michael Woodford, 1991. "Markups and the Business Cycle," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 63-140, National Bureau of Economic Research, Inc.
    33. Luís M B Cabral & José Mata, 2003. "On the Evolution of the Firm Size Distribution: Facts and Theory," American Economic Review, American Economic Association, vol. 93(4), pages 1075-1090, September.
    34. Mark Bils, 1989. "Pricing in a Customer Market," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 699-718.
    35. Chen Yeh & David Argente, 2016. "A Menu Cost Model with Price Experimentation," 2016 Meeting Papers 1515, Society for Economic Dynamics.
    36. Simon Hall & Mark Walsh & Anthony Yates, 1997. "How do UK companies set prices?," Bank of England working papers 67, Bank of England.
    37. repec:hal:spmain:info:hdl:2441/3bi2m7jdvh8ft9m3o2c19do3i8 is not listed on IDEAS
    38. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    39. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    40. Leo Kaas & Bihemo Kimasa, 2021. "Firm Dynamics With Frictional Product And Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1281-1317, August.
    41. D.B. Audretsch & L. Klomp & E. Santarelli & A.R. Thurik, 2004. "Gibrat's Law: Are the Services Different?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 24(3), pages 301-324, May.
    42. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    43. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    44. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    45. Morten Ravn & Stephanie Schmitt-Grohé & Martín Uribe, 2006. "Deep Habits," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 195-218.
    46. Richard E. Caves, 1998. "Industrial Organization and New Findings on the Turnover and Mobility of Firms," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 1947-1982, December.
    47. Marcela Eslava & James Tybout & David Jinkins & C. Krizan & Jonathan Eaton, 2015. "A Search and Learning Model of Export Dynamics," 2015 Meeting Papers 1535, Society for Economic Dynamics.
    48. Colin J. Hottman & Stephen J. Redding & David E. Weinstein, 2016. "Quantifying the Sources of Firm Heterogeneity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1291-1364.
    49. Ellen R. McGrattan & Edward C. Prescott, 2014. "A Reassessment of Real Business Cycle Theory," American Economic Review, American Economic Association, vol. 104(5), pages 177-182, May.
    50. Kleshchelski, Isaac & Vincent, Nicolas, 2009. "Market share and price rigidity," Journal of Monetary Economics, Elsevier, vol. 56(3), pages 344-352, April.
    51. Guido Menzio & Nicholas Trachter, 2018. "Equilibrium Price Dispersion Across and Within Stores," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 205-220, April.
    52. Cason, Timothy N. & Friedman, Daniel, 2003. "Buyer search and price dispersion: a laboratory study," Journal of Economic Theory, Elsevier, vol. 112(2), pages 232-260, October.
    53. Paul Klemperer, 1987. "Markets with Consumer Switching Costs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 375-394.
    54. Fran?ois Gourio & Leena Rudanko, 2014. "Can Intangible Capital Explain Cyclical Movements in the Labor Wedge?," American Economic Review, American Economic Association, vol. 104(5), pages 183-188, May.
    55. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1988. "Patterns of Firm Entry and Exit in U.S. Manufacturing Industries," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 495-515, Winter.
    56. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    57. repec:hal:wpspec:info:hdl:2441/1787nsa6d1927a90u4bkkombn4 is not listed on IDEAS
    58. Andrew Atkeson & Patrick J. Kehoe, 2005. "Modeling and Measuring Organization Capital," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 1026-1053, October.
    59. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    60. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    61. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    62. John Haltiwanger & Ron S. Jarmin & Javier Miranda, 2013. "Who Creates Jobs? Small versus Large versus Young," The Review of Economics and Statistics, MIT Press, vol. 95(2), pages 347-361, May.
    63. Edouard Schaal, 2017. "Uncertainty and Unemployment," Econometrica, Econometric Society, vol. 85(6), pages 1675-1721, November.
    64. François Gourio & Leena Rudanko, 2014. "Can Intangible Capital Explain Cyclical Movements in the Labor Wedge?," Working Paper Series WP-2014-2, Federal Reserve Bank of Chicago.
    65. P. Geroski, 1998. "An Applied Econometrician's View of Large Company Performance," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 13(3), pages 271-294, June.
    66. Leena Rudanko, 2017. "Pricing in a Frictional Product Market," 2017 Meeting Papers 1281, Society for Economic Dynamics.
    67. 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.
    68. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    69. 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.
    70. Klemperer, Paul D, 1987. "Entry Deterrence in Markets with Consumer Switching Costs," Economic Journal, Royal Economic Society, vol. 97(388a), pages 99-117, Supplemen.
    71. repec:hal:spmain:info:hdl:2441/5por5bt92h8l0bc7ls4elmcc0b is not listed on IDEAS
    72. repec:hal:spmain:info:hdl:2441/22qd4iha9ql84kd2t534hdeb is not listed on IDEAS
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    Cited by:

    1. Leo Kaas & Bihemo Kimasa, 2021. "Firm Dynamics With Frictional Product And Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(3), pages 1281-1317, August.
    2. Laurent Cavenaile & Pau Roldan-Blanco, 2021. "Advertising, Innovation, and Economic Growth," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 251-303, July.
    3. Alan Finkelstein Shapiro & Andres Gonzalez Gomez & Jessica Roldan-Pena & Victoria Nuguer, 2018. "Price Dynamics and the Financing Structure of Firms in Emerging Economies," 2018 Meeting Papers 339, Society for Economic Dynamics.

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