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Information-Constrained State-Dependent Pricing

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Michael Woodford
Abstract

I present a generalization of the standard (full-information) model of state- dependent pricing in which decisions about when to review a firm's existing price must be made on the basis of imprecise awareness of current market conditions. The imperfect information is endogenized using a variant of the theory of "rational inattention" proposed by Sims (1998, 2003, 2006). This results in a one-parameter family of models, indexed by the cost of information, which nests both the standard state-dependent pricing model and the Calvo model of price adjustment as limiting cases (corresponding to a zero information cost and an unboundedly large information cost respectively). For intermediate levels of the information cost, the model is equivalent to a "generalized Ss model" with a continuous \adjustment hazard" of the kind proposed by Caballero and Engel (1993a, 1993b), but provides an economic motivation for the hazard function and very specific predictions about its form. For high enough levels of the information cost, the Calvo model of price-setting is found to be a reasonable approximation to the exact equilibrium dynamics, except in the case of (infrequent) large shocks. When the model is calibrated to match the frequency and size distribution of price changes observed in microeconomic data sets, prices are found to be much less flexible than in a full-information state-dependent pricing model, and only about 20 percent more flexible than under a Calvo model with the same average frequency of price adjustment.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 14620.

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Date of creation: Dec 2008
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Handle: RePEc:nbr:nberwo:14620

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E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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  1. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September. [Downloadable!] (restricted)
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  2. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
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  3. Ricardo J. Caballero & Eduardo M.R.A. Engel, 2007. "Price Stickiness in Ss Models: New Interpretations of Old Results," Working Papers 952, Economic Growth Center, Yale University. [Downloadable!]
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  4. Caballero, Ricardo J & Engel, Eduardo M R A, 1993. "Microeconomic Adjustment Hazards and Aggregate Dynamics," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 359-83, May. [Downloadable!] (restricted)
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  5. 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, MIT Press, vol. 123(3), pages 863-904, August. [Downloadable!] (restricted)
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  6. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115, pages 171-199. [Downloadable!] (restricted)
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  7. Michael Dotsey & Robert G. King, 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Working Papers 05-2, Federal Reserve Bank of Philadelphia. [Downloadable!]
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  8. Mark Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," Macroeconomics 0402020, EconWPA. [Downloadable!]
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  9. Caplin, Andrew S & Spulber, Daniel F, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 703-25, November. [Downloadable!] (restricted)
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  10. 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.
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  11. 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. [Downloadable!] (restricted)
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  12. 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, MIT Press, vol. 114(2), pages 655-690, May. [Downloadable!] (restricted)
  13. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April. [Downloadable!] (restricted)
  14. Burstein, Ariel T., 2006. "Inflation and output dynamics with state-dependent pricing decisions," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1235-1257, October. [Downloadable!] (restricted)
  15. Caballero, R.J., 1989. "Time Dependent Rules, Aggregate Stickiness And Information Externalities," Discussion Papers 1989_11, Columbia University, Department of Economics.
  16. Ricardo Reis, 2006. "Inattentive Producers," Review of Economic Studies, Blackwell Publishing, vol. 73(3), pages 793-821, 07. [Downloadable!] (restricted)
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  17. Bonomo, Marco & Carvalho, Carlos, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1015-41, December.
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  18. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September. [Downloadable!] (restricted)
  19. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bartosz Mackowiak & Frank Smets, 2008. "On implications of micro price data for macro models," Conference Series ; [Proceedings], Federal Reserve Bank of Boston. [Downloadable!]
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  2. Julio J. Rotemberg, 2009. "Altruistic Dynamic Pricing with Customer Regret," NBER Working Papers 14933, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. James Costain & Antón Nákov, 2009. "Dynamics of the price distribution in a general model of state-dependent pricing," Banco de España Working Papers 0831, Banco de España. [Downloadable!]
  4. George-Marios Angeletos & Jennifer La'O, 2009. "Incomplete Information, Higher-Order Beliefs and Price Inertia," NBER Working Papers 15003, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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