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A "quantized" approach to rational inattention

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  • Saint-Paul, Gilles

Abstract

In this paper, I propose a model of rational inattention where the choice variable is a deterministic function of the exogenous variables, and still only a finite amount of information is being used. This holds provided the choice variable is discrete rather than continuous; that is, the mapping from the realization of the exogenous variables to the endogenous ones is piece-wise constant. Thus, limited information is now a source of lumpiness in behavior, rather than a source of noise. A central result is that the mutual information between the exogenous variable and the endogenous one is simply equal to the entropy, in the usual discrete sense, of the endogenous variable. The approach is illustrated with two applications: a general linear-quadratic problem with a uniform distribution, and a simple static model of price-setting where individual price setters face aggregate monetary shocks and idiosyncratic productivity shocks.

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 10-144.

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Date of creation: 02 Mar 2010
Date of revision: 10 Jan 2011
Handle: RePEc:tse:wpaper:22409

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  1. Andrew C. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," NBER Working Papers 2311, National Bureau of Economic Research, Inc.
  2. Peter J. Klenow & Oleksiy Kryvtsov, 2007. "State-Dependent or Time-Dependent Pricing: Does It Matter for Recent U.S. Inflation?," Discussion Papers 07-007, Stanford Institute for Economic Policy Research.
  3. Paciello, Luigi, 2007. "The Response of Prices to Technology and Monetary Policy Shocks under Rational Inattention," MPRA Paper 5763, University Library of Munich, Germany.
  4. Yulei Luo, 2005. "Consumption Dynamics under Information Processing Constraints," Macroeconomics 0505011, EconWPA, revised 03 Jun 2005.
  5. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information Versus Sticky Prices: A Proposal To Replace The New Keynesian Phillips Curve," The Quarterly Journal of Economics, MIT Press, vol. 117(4), pages 1295-1328, November.
  6. Ann P. Bartel & Casey Ichniowski & Kathryn L. Shaw, 2005. "How Does Information Technology Really Affect Productivity? Plant-Level Comparisons of Product Innovation, Process Improvement and Worker Skills," NBER Working Papers 11773, National Bureau of Economic Research, Inc.
  7. Ricardo J. Caballero & Eduardo M.R.A. Engel & John Haltiwanger, 1995. "Aggregate Employment Dynamics: Building From Microeconomic Evidence," NBER Working Papers 5042, National Bureau of Economic Research, Inc.
  8. Moscarini, Giuseppe, 2004. "Limited information capacity as a source of inertia," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2003-2035, September.
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Cited by:
  1. Luo, Yulei & Young, Eric, 2013. "Rational Inattention in Macroeconomics: A Survey," MPRA Paper 54267, University Library of Munich, Germany.

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