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Logit price dynamics

  • James Costain

    ()

    (Banco de España)

  • Anton Nakov

    ()

    (Banco de España)

We propose a near-rational model of retail price adjustment consistent with microeconomic and macroeconomic evidence on price dynamics. Our framework is based on the idea that avoiding errors in decision making is costly. Given our assumed cost function for error avoidance, the timing of firms’ price adjustments is determined by a weighted binary logit, and the prices they choose are determined by a multinomial logit. We build this behavior into a DSGE model, estimate the decision cost function by matching microdata, and simulate aggregate dynamics using a tractable algorithm for heterogeneous-agent models. Both errors in the prices firms set, and errors in the timing of these adjustments, are relevant for our results. Errors of the first type help make our model consistent with some puzzling observations from microdata, such as the coexistence of large and small price changes, the behavior of adjustment hazards, and the relative variability of prices and costs. Errors of the second type increase the real effects of monetary shocks, by reducing the correlation between the value of price adjustment and the probability of adjustment, (i.e., by reducing the\selection effect»). Allowing for both types of errors also helps reproduce the effects of trend inflation on price adjustment behavior. Our model of error-prone pricing in many ways resembles a stochastic menu cost (SMC) model, but it has less free parameters than most SMC models have, and unlike those models, it does not require the implausible assumption of i.i.d. adjustment costs. Our derivation of a weighted logit from control costs oers an alternative justication for the adjustment hazard derived by Woodford (2008). Our assumption that costs are related to entropy is similar to the framework of Sims (2003) and the subsequent\rational inattention» literature. However, our setup has the major technical advantage that a firm’s idiosyncratic state variable is simply its price level and productivity, whereas under rational inattention a firm’s idiosyncratic state is its prior (which is generally an infinite-dimensional object).

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File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/13/Fich/dt1301e.pdf
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Paper provided by Banco de España & Working Papers Homepage in its series Working Papers with number 1301.

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Length: 55 pages
Date of creation: Feb 2013
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Handle: RePEc:bde:wpaper:1301
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  1. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1999. "The Logit Equilibrium: A Perspective on Intuitive Behavioral Anomalies," Virginia Economics Online Papers 332, University of Virginia, Department of Economics.
  2. Peter J. Klenow & Oleksiy Kryvtsov, 2005. "State-Dependent or Time-Dependent Pricing: Does It Matter for Recent U.S. Inflation?," Staff Working Papers 05-4, Bank of Canada.
  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. Stahl, D O, 1990. "Entropy Control Costs and Entropic Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 129-38.
  5. Filip Matejka & Alisdair McKay, 2011. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," CERGE-EI Working Papers wp442, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
  6. Mark Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2003. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," Working Papers 2003-07, Bar-Ilan University, Department of Economics.
  7. Richard Blundell & Steve Bond, 1999. "GMM estimation with persistent panel data: an application to production functions," IFS Working Papers W99/04, Institute for Fiscal Studies.
  8. Philip A. Haile & Ali Hortacsu & Grigory Kosenok, 2003. "On the Empirical Content of Quantal Response Equilibrium," Cowles Foundation Discussion Papers 1432, Cowles Foundation for Research in Economics, Yale University.
  9. James Costain & Anton Nakov, 2011. "Precautionary price stickiness," Working Papers 1122, Banco de España;Working Papers Homepage.
  10. F. Alvarez & F. Lippi & L. Paciello, 2010. "Optimal price setting with observation and menu costs," 2010 Meeting Papers 478, Society for Economic Dynamics.
  11. Kevin Sheedy & Bernardo Guimaraes, 2009. "Sales and Monetary Policy," 2009 Meeting Papers 365, Society for Economic Dynamics.
  12. 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.
  13. 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.
  14. Woodford, Michael, 2009. "Information-constrained state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 56(S), pages S100-S124.
  15. Marsili, Matteo, 1999. "On the multinomial logit model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 9-15.
  16. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
  17. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
  18. Robert Lucas & Mike Golosov, 2004. "Menu Costs and Phillips Curves," 2004 Meeting Papers 144, Society for Economic Dynamics.
  19. Peter J. Klenow & Benjamin A. Malin, 2010. "Microeconomic Evidence on Price-Setting," NBER Working Papers 15826, National Bureau of Economic Research, Inc.
  20. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
  21. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
  22. Filip Matejka, 2010. "Rationally Inattentive Seller: Sales and Discrete Pricing," CERGE-EI Working Papers wp408, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
  23. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  24. 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.
  25. Tack Yun, 2005. "Optimal Monetary Policy with Relative Price Distortions," American Economic Review, American Economic Association, vol. 95(1), pages 89-109, March.
  26. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2011. "Reference Prices, Costs, and Nominal Rigidities," American Economic Review, American Economic Association, vol. 101(1), pages 234-62, February.
  27. 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, Oxford University Press, vol. 100(Supplemen), pages 823-838.
  28. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 529-538.
  29. Lars Peter Hansen & Thomas J. Sargent, 2008. "Â Time Inconsistency of Robust Control?," Chapters, in: Macroeconomics in the Small and the Large, chapter 7 Edward Elgar Publishing.
  30. 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.
  31. 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.
  32. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," Review of Economic Studies, Oxford University Press, vol. 39(1), pages 17-26.
  33. 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.
  34. Andrew C. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," NBER Working Papers 2311, National Bureau of Economic Research, Inc.
  35. 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.
  36. Patrick J. Kehoe & Virgiliu Midrigan, 2010. "Prices are Sticky After All," NBER Working Papers 16364, National Bureau of Economic Research, Inc.
  37. Machina, Mark J, 1985. "Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries," Economic Journal, Royal Economic Society, vol. 95(379), pages 575-94, September.
  38. 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.
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