IDEAS home Printed from https://ideas.repec.org/p/cdl/econwp/qt5cd1r3bd.html
   My bibliography  Save this paper

Do You Know that I Know that You Know…? Higher-Order Beliefs in Survey Data

Author

Listed:
  • Coibion, Olivier
  • Gorodnichenko, Yuriy
  • Kumar, Saten
  • Ryngaert, Jane

Abstract

We implement a new survey of firms, focusing on their higher-order macroeconomic expectations. The survey provides a novel set of stylized facts regarding the relationship between first-order and higher-order expectations of economic agents, including how they adjust their beliefs in response to a variety of information treatments. We show how these facts can be used to calibrate key parameters of noisy-information models with infinite regress as well as to test predictions made by this class of models. We also consider a range of extensions to the basic noisy-information model that can potentially better reconcile theory and empirics. Although some extensions like level-k thinking are unsuccessful, incorporating heterogeneous long-run priors can address the empirical shortcomings of the basic noisy-information model.

Suggested Citation

  • Coibion, Olivier & Gorodnichenko, Yuriy & Kumar, Saten & Ryngaert, Jane, 2021. "Do You Know that I Know that You Know…? Higher-Order Beliefs in Survey Data," Department of Economics, Working Paper Series qt5cd1r3bd, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    • Handle: RePEc:cdl:econwp:qt5cd1r3bd
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/5cd1r3bd.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
    2. Colin F. Camerer, 1997. "Progress in Behavioral Game Theory," Journal of Economic Perspectives, American Economic Association, vol. 11(4), pages 167-188, Fall.
    3. Angeletos, George-Marios & La’O, Jennifer, 2009. "Incomplete information, higher-order beliefs and price inertia," Journal of Monetary Economics, Elsevier, vol. 56(S), pages 19-37.
    4. Coibion, Olivier & Gorodnichenko, Yuriy & Kumar, Saten & Pedemonte, Mathieu, 2020. "Inflation expectations as a policy tool?," Journal of International Economics, Elsevier, vol. 124(C).
    5. Saten Kumar & Hassan Afrouzi & Olivier Coibion & Yuriy Gorodnichenko, 2015. "Inflation Targeting Does Not Anchor Inflation Expectations: Evidence from Firms in New Zealand," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 46(2 (Fall)), pages 151-225.
    6. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    7. Philippe Bacchetta & Eric Van Wincoop, 2008. "Higher Order Expectations in Asset Pricing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 837-866, August.
    8. Bartosz Mackowiak & Mirko Wiederholt, 2009. "Optimal Sticky Prices under Rational Inattention," American Economic Review, American Economic Association, vol. 99(3), pages 769-803, June.
    9. Duffy, John & Nagel, Rosemarie, 1997. "On the Robustness of Behaviour in Experimental "Beauty Contest" Games," Economic Journal, Royal Economic Society, vol. 107(445), pages 1684-1700, November.
    10. Olivier Coibion & Yuriy Gorodnichenko & Tiziano Ropele, 2020. "Inflation Expectations and Firm Decisions: New Causal Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 165-219.
    11. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    12. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    13. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    14. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    15. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    16. Patton, Andrew J. & Timmermann, Allan, 2010. "Why do forecasters disagree? Lessons from the term structure of cross-sectional dispersion," Journal of Monetary Economics, Elsevier, vol. 57(7), pages 803-820, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Olivier Coibion & Yuriy Gorodnichenko & Saten Kumar & Jane Ryngaert, 2018. "Do You Know That I Know That You Know...? Higher-Order Beliefs in Survey Data," NBER Working Papers 24987, National Bureau of Economic Research, Inc.
    2. Pascal Kieren & Christian König-Kersting & Robert Schmidt & Stefan Trautmann & Franziska Heinicke, 2023. "First-Order and Higher-Order Inflation Expectations: Evidence about Households and Firms," Working Papers 2023-10, Faculty of Economics and Statistics, Universität Innsbruck.
    3. 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.
    4. Kieren, Pascal & König-Kersting, Christian & Schmidt, Robert J. & Trautmann, Stefan T. & Theurich, Franziska, 2024. "First-order and higher-order inflation expectations: Evidence about households and firms," Discussion Papers 18/2024, Deutsche Bundesbank.
    5. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
    6. Candia, Bernardo & Coibion, Olivier & Gorodnichenko, Yuriy, 2024. "The inflation expectations of U.S. firms: Evidence from a new survey," Journal of Monetary Economics, Elsevier, vol. 145(S).
    7. Mauersberger, Felix & Nagel, Rosemarie & Bühren, Christoph, 2020. "Bounded rationality in Keynesian beauty contests: A lesson for central bankers?," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 14, pages 1-38.
    8. Coibion, Olivier & Georgarakos, Dimitris & Gorodnichenko, Yuriy & van Rooij, Maarten, 2019. "How Does Consumption Respond to News about Inflation? Field Evidence from a Randomized Control Trial," Department of Economics, Working Paper Series qt3zh865pj, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    9. Georganas, Sotiris & Healy, Paul J. & Weber, Roberto A., 2015. "On the persistence of strategic sophistication," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 369-400.
    10. Munday, Tim & Brookes, James, 2021. "Mark my words: the transmission of central bank communication to the general public via the print media," Bank of England working papers 944, Bank of England.
    11. Frache, Serafin & Lluberas, Rodrigo & Turen, Javier, 2024. "Belief-dependent pricing decisions," Economic Modelling, Elsevier, vol. 132(C).
    12. Nagel, Rosemarie & Bühren, Christoph & Frank, Björn, 2017. "Inspired and inspiring: Hervé Moulin and the discovery of the beauty contest game," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 191-207.
    13. Evans, George & Gibbs, Christopher & McGough, Bruce, 2021. "A Unified Model of Learning to Forecast," Working Papers 2021-10, University of Sydney, School of Economics.
    14. Andrade, Philippe & Gautier, Erwan & Mengus, Eric, 2023. "What matters in households’ inflation expectations?," Journal of Monetary Economics, Elsevier, vol. 138(C), pages 50-68.
    15. Duffy, Sean & Smith, John, 2014. "Cognitive load in the multi-player prisoner's dilemma game: Are there brains in games?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 51(C), pages 47-56.
    16. Xavier Gabaix, 2017. "Behavioral Inattention," NBER Working Papers 24096, National Bureau of Economic Research, Inc.
    17. Shu-Heng Chen & Ye-Rong Du & Lee-Xieng Yang, 2014. "Cognitive capacity and cognitive hierarchy: a study based on beauty contest experiments," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 9(1), pages 69-105, April.
    18. Allred, Sarah & Duffy, Sean & Smith, John, 2016. "Cognitive load and strategic sophistication," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 162-178.
    19. Tatsushi Okuda & Tomohiro Tsuruga, 2021. "Inflation Expectations and Central Bank Communication with Unknown Prior," IMES Discussion Paper Series 21-E-07, Institute for Monetary and Economic Studies, Bank of Japan.
    20. Piotr Evdokimov & Umberto Garfagnini, 2022. "Higher-order learning," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1234-1266, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cdl:econwp:qt5cd1r3bd. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/ibbrkus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.