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Logit Price Dynamics

Author

Listed:
  • JAMES COSTAIN
  • ANTON NAKOV
Abstract
We model retail price stickiness as the result of costly, error‐prone decision making. Under our assumed cost function for the precision of choice, the timing of price adjustments and the prices firms set are both logit random variables. Errors in the prices firms set help explain micro facts related to the size of price changes, the behavior of adjustment hazards, and the variability of prices and costs. Errors in adjustment timing increase the real effects of monetary shocks, by reducing the “selection effect.” Allowing for both types of errors also helps explain how trend inflation affects price adjustment.

Suggested Citation

  • James Costain & Anton Nakov, 2019. "Logit Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 43-78, February.
    • Handle: RePEc:wly:jmoncb:v:51:y:2019:i:1:p:43-78
    DOI: 10.1111/jmcb.12559
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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. 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.
    3. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    4. Khaw, Mel Win & Stevens, Luminita & Woodford, Michael, 2017. "Discrete adjustment to a changing environment: Experimental evidence," Journal of Monetary Economics, Elsevier, vol. 91(C), pages 88-103.
    5. Costain, James & Nakov, Anton, 2015. "Precautionary price stickiness," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 218-234.
    6. Bernardo Guimaraes & Kevin D. Sheedy, 2011. "Sales and Monetary Policy," American Economic Review, American Economic Association, vol. 101(2), pages 844-876, April.
    7. 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.
    8. Jakub Steiner & Colin Stewart & Filip Matějka, 2017. "Rational Inattention Dynamics: Inertia and Delay in Decision‐Making," Econometrica, Econometric Society, vol. 85, pages 521-553, March.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Costain, James & Nakov, Anton, 2011. "Distributional dynamics under smoothly state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 646-665.
    14. 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.
    15. 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.
    16. Timothy Cogley & Riccardo Colacito & Lars Peter Hansen & Thomas J. Sargent, 2008. "Robustness and U.S. Monetary Policy Experimentation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1599-1623, December.
    17. 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.
    18. 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.
    19. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
    20. Jacopo Magnani & Aspen Gorry & Ryan Oprea, 2016. "Time and State Dependence in an Ss Decision Experiment," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(1), pages 285-310, January.
    21. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    22. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages 100-124.
    23. 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.
    24. Cosmin Ilut & Rosen Valchev & Nicolas Vincent, 2020. "Paralyzed by Fear: Rigid and Discrete Pricing Under Demand Uncertainty," Econometrica, Econometric Society, vol. 88(5), pages 1899-1938, September.
    25. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo & Josephine Smith, 2014. "How Frequent Are Small Price Changes?," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(2), pages 137-155, April.
    26. Marsili, Matteo, 1999. "On the multinomial logit model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 9-15.
    27. 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.
    28. 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.
    29. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    30. 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.
    31. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    32. Ruediger Bachmann & Giuseppe Moscarini, 2011. "Business Cycles and Endogenous Uncertainty," 2011 Meeting Papers 36, Society for Economic Dynamics.
    33. Luminita Stevens, 2020. "Coarse Pricing Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(1), pages 420-453.
    34. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
    35. 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.
    36. 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.
    37. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    38. Lars Peter Hansen & Thomas J. Sargent, 2008. "Time Inconsistency of Robust Control?," Chapters, in: Roger E.A. Farmer (ed.), Macroeconomics in the Small and the Large, chapter 7, Edward Elgar Publishing.
    39. Machina, Mark J, 1985. "Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries," Economic Journal, Royal Economic Society, vol. 95(379), pages 575-594, September.
    40. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    41. 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.
    42. 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.
    43. 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.
    44. James W. Bono & David H. Wolpert, 2009. "Statistical prediction of the outcome of a noncooperative game," Working Papers 2009-20, American University, Department of Economics.
    45. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
    46. 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.
    47. 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.
    48. 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.
    49. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    Cited by:

    1. Khaw, Mel Win & Stevens, Luminita & Woodford, Michael, 2017. "Discrete adjustment to a changing environment: Experimental evidence," Journal of Monetary Economics, Elsevier, vol. 91(C), pages 88-103.
    2. Erwan Gautier & Cristina Conflitti & Riemer P. Faber & Brian Fabo & Ludmila Fadejeva & Valentin Jouvanceau & Jan-Oliver Menz & Teresa Messner & Pavlos Petroulas & Pau Roldan-Blanco & Fabio Rumler & Se, 2024. "New Facts on Consumer Price Rigidity in the Euro Area," American Economic Journal: Macroeconomics, American Economic Association, vol. 16(4), pages 386-431, October.
    3. Nakov, Anton & Petit, Borja & Costain, James, 2018. "Monetary policy implications of state-dependent prices and wages," CEPR Discussion Papers 13398, C.E.P.R. Discussion Papers.
    4. Costain, James & Nakov, Anton, 2015. "Precautionary price stickiness," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 218-234.
    5. Shaowen Luo & Daniel Villar, 2021. "The Skewness of the Price Change Distribution: A New Touchstone for Sticky Price Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(1), pages 41-72, February.
    6. Flynn, Joel P. & Sastry, Karthik A., 2023. "Strategic mistakes," Journal of Economic Theory, Elsevier, vol. 212(C).
    7. David R. Munro, 2021. "Consumer Behavior and Firm Volatility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(4), pages 845-873, June.
    8. Gasteiger, Emanuel & Grimaud, Alex, 2023. "Price setting frequency and the Phillips curve," European Economic Review, Elsevier, vol. 158(C).
    9. James Costain, 2017. "Costly decisions and sequential bargaining," Working Papers 1729, Banco de España.
    10. Guido Ascari & Timo Haber, 2019. "Sticky prices and the transmission mechanism of monetary policy: A minimal test of New Keynesian models," Economics Series Working Papers 869, University of Oxford, Department of Economics.
    11. Cristina Conflitti & Riemer P. Faber & Brian Fabo & Ludmila Fadejeva & Erwan Gautier & Valentin Jouvanceau & Jan-Oliver Menz & Teresa Messner & Pavlos Petroulas & Pau Roldan-Blanco & Fabio Rumler & Se, 2022. "New Facts on Consumer Price Rigidity in the Euro Area (Erwan Gautier, Cristina Conflitti, Riemer P. Faber, Brian Fabo, Ludmila Fadejeva, Valentin Jouvanceau, Jan-Oliver Menz, Teresa Messner, Pavlos Pe," Working Papers 240, Oesterreichische Nationalbank (Austrian Central Bank).
    12. Russell W. Cooper & Immo Schott, 2023. "Capital reallocation and the cyclicality of aggregate productivity," Quantitative Economics, Econometric Society, vol. 14(4), pages 1337-1365, November.
    13. Mauersberger, Felix, 2019. "Thompson Sampling: Endogenously Random Behavior in Games and Markets," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203600, Verein für Socialpolitik / German Economic Association.

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    More about this item

    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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