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Discrete Actions in Information-Constrained Tracking Problems

Author

Listed:
  • Filip Matejka
  • Christopher A. Sims
Abstract
Optimal actions of an agent facing a Shannon capacity constraint on the translation of an uncertain signal into an action can easily turn out to be discretely distributed, even when the objective function and the initial distribution of uncertainty contain no discrete elements. We show this result analytically in a broad class of cases. It has implications for the interpretation of observed intervals between changes in prices or other economic choice variables in micro-data as indicators of costs of adjustment or of the degree of “stickiness” in responses to aggregate policy changes or business cycle fluctuations.

Suggested Citation

  • Filip Matejka & Christopher A. Sims, 2011. "Discrete Actions in Information-Constrained Tracking Problems," CERGE-EI Working Papers wp441, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
  • Handle: RePEc:cer:papers:wp441
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    File URL: http://www.cerge-ei.cz/pdf/wp/Wp441.pdf
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    References listed on IDEAS

    as
    1. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2008. "Reference Prices and Nominal Rigidities," NBER Working Papers 13829, National Bureau of Economic Research, Inc.
    2. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
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    Citations

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    Cited by:

    1. Etienne Gagnon & David López-Salido & Nicolas Vincent, 2013. "Individual Price Adjustment along the Extensive Margin," NBER Macroeconomics Annual, University of Chicago Press, vol. 27(1), pages 235-281.
    2. Kacperczyk, Marcin & Nosal, Jaromir & Stevens, Luminita, 2019. "Investor sophistication and capital income inequality," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 18-31.
    3. Silvia Miranda-Agrippino & Giovanni Ricco, 2021. "The Transmission of Monetary Policy Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 74-107, July.
    4. Luigi Paciello, 2012. "Monetary Policy and Price Responsiveness to Aggregate Shocks under Rational Inattention," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(7), pages 1375-1399, October.
    5. Yulei Luo & Eric R. Young, 2016. "Long‐Run Consumption Risk and Asset Allocation under Recursive Utility and Rational Inattention," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(2-3), pages 325-362, March.
    6. Altantsetseg Batchuluun & Yulei Luo & Eric R. Young, 2019. "Portfolio Choice with Information-Processing Limits," Annals of Economics and Finance, Society for AEF, vol. 20(1), pages 137-162, May.
    7. Andrew Caplin & John Leahy & Filip Matějka, 2015. "Social Learning and Selective Attention," NBER Working Papers 21001, National Bureau of Economic Research, Inc.
    8. Saint-Paul, Gilles, 2010. "A "quantum" approach to rational inattention," CEPR Discussion Papers 7739, C.E.P.R. Discussion Papers.
    9. Antonella Tutino, 2013. "Rationally inattentive consumption choices," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 421-439, July.
    10. Jonathan A. Parker & Nicholas S. Souleles & David S. Johnson & Robert McClelland, 2013. "Consumer Spending and the Economic Stimulus Payments of 2008," American Economic Review, American Economic Association, vol. 103(6), pages 2530-2553, October.
    11. Gaetano Gaballo, 2016. "Rational Inattention to News: The Perils of Forward Guidance," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(1), pages 42-97, January.
    12. Vojtech Bartos & Michal Bauer & Julie Chytilova & Filip Matejka, 2013. "Attention Discrimination: Theory and Field Experiments," CERGE-EI Working Papers wp499, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    13. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    14. George-Marios Angeletos & Chen Lian, 2016. "Incomplete Information in Macroeconomics: Accommodating Frictions in Coordination," NBER Working Papers 22297, National Bureau of Economic Research, Inc.
    15. Tim Willems, 2017. "Actively Learning by Pricing: A Model of an Experimenting Seller," Economic Journal, Royal Economic Society, vol. 127(604), pages 2216-2239, September.

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    More about this item

    Keywords

    rational inattention; adjustment frictions; sticky prices;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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