A "quantized" approach to rational inattention
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.
|Date of creation:||02 Mar 2010|
|Date of revision:||10 Jan 2011|
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- N. Gregory Mankiw & Ricardo Reis, 2001.
"Sticky information versus sticky prices: a proposal to replace the New-Keynesian Phillips curve,"
Federal Reserve Bank of San Francisco, issue Jun.
- 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.
- N. Gregory Mankiw & Ricardo Reis, 2001. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," NBER Working Papers 8290, National Bureau of Economic Research, Inc.
- N. Gregory Mankiw & Ricardo Reis, 2001. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," Harvard Institute of Economic Research Working Papers 1922, Harvard - Institute of Economic Research.
- Mankiw, N. Gregory & Reis, Ricardo, 2002. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," Scholarly Articles 3415324, Harvard University Department of Economics.
- Paciello, Luigi, 2007.
"The Response of Prices to Technology and Monetary Policy Shocks under Rational Inattention,"
5763, University Library of Munich, Germany.
- Luigi Paciello, 2008. "The Response of Prices to Technology and Monetary Policy Shocks under Rational Inattention," EIEF Working Papers Series 0816, Einaudi Institute for Economics and Finance (EIEF), revised Nov 2007.
- Christopher A. Sims, 2006. "Rational Inattention: Beyond the Linear-Quadratic Case," American Economic Review, American Economic Association, vol. 96(2), pages 158-163, May.
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