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Precautionary price stickiness

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  • James Costain

    (Banco de España)

  • Anton Nakov

    (Banco de España)

Abstract

This paper proposes two models in which price stickiness arises endogenously even though fi rms are free to change their prices at zero physical cost. Firms are subject to idiosyncratic and aggregate shocks, and they also face a risk of making errors when they set their prices. In our fi rst specifi cation, fi rms are assumed to play a dynamic logit equilibrium, which implies that big mistakes are less likely than small ones. The second specifi cation derives logit behavior from an assumption that precision is costly. The empirical implications of the two versions of our model are very similar. Since fi rms making suffi ciently large errors choose to adjust, both versions generate a strong “selection effect” in response to a nominal shock that eliminates most of the monetary nonneutrality found in the Calvo model. Thus the model implies that money shocks have little impact on the real economy, as in Golosov and Lucas (2007), but fi ts microdata better than their specifi cation.

Suggested Citation

  • James Costain & Anton Nakov, 2011. "Precautionary price stickiness," Working Papers 1122, Banco de España.
  • Handle: RePEc:bde:wpaper:1122
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    1. Caballero, Ricardo J. & Engel, Eduardo M. R. A., 1993. "Microeconomic rigidities and aggregate price dynamics," European Economic Review, Elsevier, vol. 37(4), pages 697-711, May.
    2. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 655-690.
    3. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-113, May.
    4. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 529-538.
    5. Richard Baron & Jacques Durieu & Hans Haller & Philippe Solal, 2003. "Control costs and potential functions for spatial games," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 541-561, September.
    6. Fernando Alvarez & Francesco Lippi, 2014. "Price Setting With Menu Cost for Multiproduct Firms," Econometrica, Econometric Society, vol. 82(1), pages 89-135, January.
    7. Fernando E. Alvarez & Francesco Lippi & Luigi Paciello, 2011. "Optimal Price Setting With Observation and Menu Costs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1909-1960.
    8. Bartosz Maćkowiak & Mirko Wiederholt, 2015. "Business Cycle Dynamics under Rational Inattention," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1502-1532.
    9. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    10. Mark Gertler & John Leahy, 2008. "A Phillips Curve with an Ss Foundation," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 533-572, June.
    11. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages 100-124.
    12. Jeffrey R. Campbell & Benjamin Eden, 2014. "Rigid Prices: 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. 55(2), pages 423-442, May.
    13. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    14. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    15. Dotsey, Michael & King, Robert G., 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 213-242, January.
    16. Richard Blundell & Stephen Bond, 2000. "GMM Estimation with persistent panel data: an application to production functions," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 321-340.
    17. Caballero, Ricardo J. & Engel, Eduardo M.R.A., 2007. "Price stickiness in Ss models: New interpretations of old results," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 100-121, September.
    18. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 171-199.
    19. Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.
    20. Filip Matějka, 2016. "Rationally Inattentive Seller: Sales and Discrete Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1125-1155.
    21. Sheedy, Kevin D., 2010. "Intrinsic inflation persistence," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 1049-1061, November.
    22. 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.
    23. Sheedy, Kevin D., 2007. "Inflation persistence when price stickiness differs between industries," LSE Research Online Documents on Economics 3738, London School of Economics and Political Science, LSE Library.
    24. Anil K Kashyap, 1995. "Sticky Prices: New Evidence from Retail Catalogs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 245-274.
    25. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    26. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, July.
    27. Tutino, Antonella, 2008. "The rigidity of choice: lifetime savings under information-processing constraints," MPRA Paper 16744, University Library of Munich, Germany, revised 24 Jul 2009.
    28. Costain, James & Nakov, Anton, 2011. "Distributional dynamics under smoothly state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 646-665.
    29. Andrew S. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 703-725.
    30. Klenow, Peter J. & Malin, Benjamin A., 2010. "Microeconomic Evidence on Price-Setting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 6, pages 231-284, Elsevier.
    31. Andrew Caplin & John Leahy, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 683-708.
    32. Alvarez González, Luis Julián, 2008. "What Do Micro Price Data Tell Us on the Validity of the New Keynesian Phillips Curve?," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 2, pages 1-36.
    33. Charles A. Holt & Jacob K. Goeree, 1999. "Stochastic Game Theory: For Playing Games, Not Just for Doing Theory," Virginia Economics Online Papers 306, University of Virginia, Department of Economics.
    34. James Costain & Anton Nakov, 2011. "Price Adjustments in a General Model of State‐Dependent Pricing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(2‐3), pages 385-406, March.
    35. Basu, Susanto, 2005. "Comment on: "Implications of state-dependent pricing for dynamic macroeconomic modeling"," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 243-247, January.
    36. Caballero, Ricardo J, 1992. "A Fallacy of Composition," American Economic Review, American Economic Association, vol. 82(5), pages 1279-1292, December.
    37. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    38. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1221-1263.
    39. Jeffrey R. Campbell & Benjamin Eden, 2014. "Rigid Prices: 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. 55, pages 423-442, May.
    40. Julio J. Rotemberg, 1982. "Monopolistic Price Adjustment and Aggregate Output," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(4), pages 517-531.
    41. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2008. "Reference Prices and Nominal Rigidities," NBER Working Papers 13829, National Bureau of Economic Research, Inc.
    42. George A. Akerlof & Janet L. Yellen, 1985. "A Near-Rational Model of the Business Cycle, with Wage and Price Inertia," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(Supplemen), pages 823-838.
    43. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1999. "Explaining Investment Dynamics in U.S. Manufacturing: A Generalized (S,s) Approach," Econometrica, Econometric Society, vol. 67(4), pages 783-826, July.
    44. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September.
    45. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
    46. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
    47. Stahl, D O, 1990. "Entropy Control Costs and Entropic Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 129-138.
    48. James Costain & Anton Nakov, 2019. "Logit Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 43-78, February.
    49. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(1), pages 17-26.
    50. Kiley, Michael T, 2002. "Partial Adjustment and Staggered Price Setting," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(2), pages 283-298, May.
    51. Carvalho Carlos, 2006. "Heterogeneity in Price Stickiness and the Real Effects of Monetary Shocks," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-58, December.
    52. 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.
    53. Robert G. King & Alexander Wolman & Michael Dotsey, 2009. "Inflation and Real Activity with Firm Level Productivity Shocks," 2009 Meeting Papers 367, Society for Economic Dynamics.
    54. Marsili, Matteo, 1999. "On the multinomial logit model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 9-15.
    55. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 287-303.
    56. Saul Lach & Daniel Tsiddon, 2007. "Small price changes and menu costs," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(7), pages 649-656.
    57. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 2002. "The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies," Southern Economic Journal, John Wiley & Sons, vol. 69(1), pages 21-47, July.
    58. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2011. "Reference Prices, Costs, and Nominal Rigidities," American Economic Review, American Economic Association, vol. 101(1), pages 234-262, February.
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    1. Precautionary price stickiness
      by Christian Zimmermann in NEP-DGE blog on 2011-09-08 08:03:46

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    More about this item

    Keywords

    Nominal rigidity; logit equilibrium; state-dependent pricing; (S; s) adjustment; near-rational behavior;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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