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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.

Suggested Citation

  • Saint-Paul, Gilles, 2017. "A “quantized” approach to rational inattention," European Economic Review, Elsevier, vol. 100(C), pages 50-71.
  • Handle: RePEc:eee:eecrev:v:100:y:2017:i:c:p:50-71
    DOI: 10.1016/j.euroecorev.2017.07.004
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    1. 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.
    2. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    3. 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.
    4. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
    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, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    6. Bartosz Mackowiak & Mirko Wiederholt, 2009. "Optimal Sticky Prices under Rational Inattention," American Economic Review, American Economic Association, vol. 99(3), pages 769-803, June.
    7. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    8. Gilles Saint-Paul, 2005. "Some Evolutionary Foundations for Price Level Rigidity," American Economic Review, American Economic Association, vol. 95(3), pages 765-779, June.
    9. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2008. "Reference Prices and Nominal Rigidities," NBER Working Papers 13829, National Bureau of Economic Research, Inc.
    10. Paciello, Luigi, 2007. "The Response of Prices to Technology and Monetary Policy Shocks under Rational Inattention," MPRA Paper 5763, University Library of Munich, Germany.
    11. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-666, September.
    12. Emmanuel Dhyne & Luis J. Alvarez & Herve Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lunnemann & Fabio Rumler & Jouko Vilmunen, 2006. "Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data," Journal of Economic Perspectives, American Economic Association, vol. 20(2), pages 171-192, Spring.
    13. 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.
    14. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    15. Barton L. Lipman, 1995. "Information Processing and Bounded Rationality: A Survey," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 42-67, February.
    16. 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.
    17. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    18. Weitzman, Martin L, 1985. "The Simple Macroeconomics of Profit Sharing," American Economic Review, American Economic Association, vol. 75(5), pages 937-953, December.
    19. Mark E. Doms & Timothy Dunne, 1998. "Capital Adjustment Patterns in Manufacturing Plants," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 409-429, April.
    20. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 95-119.
    21. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    22. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    23. Matějka, Filip, 2015. "Rigid pricing and rationally inattentive consumer," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 656-678.
    24. Caballero, Ricardo J & Engel, Eduardo M R A & Haltiwanger, John, 1997. "Aggregate Employment Dynamics: Building from Microeconomic Evidence," American Economic Review, American Economic Association, vol. 87(1), pages 115-137, March.
    25. Christopher A. Sims, 2006. "Rational Inattention: Beyond the Linear-Quadratic Case," American Economic Review, American Economic Association, vol. 96(2), pages 158-163, May.
    26. Ball, Laurence & Romer, David, 1991. "Sticky Prices as Coordination Failure," American Economic Review, American Economic Association, vol. 81(3), pages 539-552, June.
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    Cited by:

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    3. Ellis, Andrew, 2018. "Foundations for optimal inattention," Journal of Economic Theory, Elsevier, vol. 173(C), pages 56-94.
    4. Massenot, Baptiste, 2020. "Pain of Paying in a Business Cycle Model," SAFE Working Paper Series 194, Leibniz Institute for Financial Research SAFE, revised 2020.
    5. Luo, Yulei & Young, Eric, 2013. "Rational Inattention in Macroeconomics: A Survey," MPRA Paper 54267, University Library of Munich, Germany.

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    More about this item

    Keywords

    Rational inattention; Lumpy adjustment; Price-setting; Monetary policy; Mutual information; Entropy;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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