IDEAS home Printed from https://ideas.repec.org/p/ufl/wpaper/001006.html
   My bibliography  Save this paper

Firestorm: Multiplicity in Models with Full Information

Author

Listed:
  • Jonathan J Adams

    (Department of Economics, University of Florida)

Abstract

Dynamic stochastic models with full information and rational expectations (FIRE) are not as well determined as is commonly believed. In general, FIRE models exhibit a multiplicity that is implicitly ruled out by standard solution methods, which conjecture that equilibria are functions of past shocks alone. The multiplicity is due to the endogenous feedback from choices to information to choices, which in equilibrium may contain self-fulfilling news about future shocks. I demonstrate the multiplicity in several examples, including canonical asset pricing and business cycle models. Then I study how the multiplicity arises in a dynamic programming problem with decentralized markets. Finally, I conclude that the business cycle literature must adopt information frictions.

Suggested Citation

  • Jonathan J Adams, 2021. "Firestorm: Multiplicity in Models with Full Information," Working Papers 001006, University of Florida, Department of Economics.
  • Handle: RePEc:ufl:wpaper:001006
    as

    Download full text from publisher

    File URL: https://www.dropbox.com/scl/fi/4v9itosr084eda7hhuul0/firestorm.pdf?rlkey=ky64y4fe3o5ctciusxeoix030&dl=1
    File Function: First version, 12-12-2021
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    2. Andrea Gazzani, 2020. "News and noise bubbles in the housing market," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 46-72, April.
    3. Jess Benhabib & Pengfei Wang & Yi Wen, 2015. "Sentiments and Aggregate Demand Fluctuations," Econometrica, Econometric Society, vol. 83, pages 549-585, March.
    4. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    5. Kristoffer Nimark, 2007. "Dynamic higher order expectations," Economics Working Papers 1118, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2011.
    6. Paul Beaudry & Bernd Lucke, 2010. "Letting Different Views about Business Cycles Compete," NBER Chapters, in: NBER Macroeconomics Annual 2009, Volume 24, pages 413-455, National Bureau of Economic Research, Inc.
    7. Leonardo Melosi, 2017. "Signalling Effects of Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 853-884.
    8. John H. Cochrane, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 241-265.
    9. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    10. Edward C. Prescott & Rajnish Mehra, 2005. "Recursive Competitive Equilibrium: The Case Of Homogeneous Households," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 11, pages 357-371, World Scientific Publishing Co. Pte. Ltd..
    11. Guido Lorenzoni, 2009. "A Theory of Demand Shocks," American Economic Review, American Economic Association, vol. 99(5), pages 2050-2084, December.
    12. Paul Beaudry & Franck Portier, 2006. "Stock Prices, News, and Economic Fluctuations," American Economic Review, American Economic Association, vol. 96(4), pages 1293-1307, September.
    13. Graham, Liam & Wright, Stephen, 2010. "Information, heterogeneity and market incompleteness," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 164-174, March.
    14. Rondina, Giacomo & Walker, Todd B., 2021. "Confounding dynamics," Journal of Economic Theory, Elsevier, vol. 196(C).
    15. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    16. Gaetano Gaballo, 2018. "Price Dispersion, Private Uncertainty, and Endogenous Nominal Rigidities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(2), pages 1070-1110.
    17. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    18. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    19. Jonathan J Adams, 2019. "Macroeconomic Models with Incomplete Information and Endogenous Signals," Working Papers 001004, University of Florida, Department of Economics.
    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. 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.
    2. George-Marios Angeletos & Chen Lian, 2016. "Incomplete Information in Macroeconomics: Accommodating Frictions in Coordination," NBER Working Papers 22297, National Bureau of Economic Research, Inc.
    3. George-Marios Angeletos, 2018. "Frictional Coordination," Journal of the European Economic Association, European Economic Association, vol. 16(3), pages 563-603.
    4. Adams, Jonathan J., 2023. "Moderating noise-driven macroeconomic fluctuations under dispersed information," Journal of Economic Dynamics and Control, Elsevier, vol. 156(C).
    5. Manoj Atolia & Ryan Chahrour, 2020. "Intersectoral Linkages, Diverse Information, and Aggregate Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 270-292, April.
    6. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
    7. Falck, Elisabeth & Hoffmann, Mathias & Hürtgen, Patrick, 2017. "Disagreement and monetary policy," Discussion Papers 29/2017, Deutsche Bundesbank.
    8. Ryan Chahrour & Gaetano Gaballo, 2021. "Learning from House Prices: Amplification and Business Fluctuations [House Price Booms and the Current Account]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1720-1759.
    9. Rondina, Giacomo & Walker, Todd B., 2021. "Confounding dynamics," Journal of Economic Theory, Elsevier, vol. 196(C).
    10. Benhima, Kenza, 2019. "Booms and busts with dispersed information," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 32-47.
    11. John Duffy, 2008. "Macroeconomics: A Survey of Laboratory Research," Working Paper 334, Department of Economics, University of Pittsburgh, revised Jun 2014.
    12. Michael Rousakis, 2013. "Expectations and Fluctuations: The Role of Monetary Policy," 2013 Meeting Papers 681, Society for Economic Dynamics.
    13. Manoj Atolia & Ryan Chahrour, 2020. "Intersectoral Linkages, Diverse Information, and Aggregate Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 270-292, April.
    14. Candian, Giacomo, 2019. "Information frictions and real exchange rate dynamics," Journal of International Economics, Elsevier, vol. 116(C), pages 189-205.
    15. 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.
    16. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    17. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    18. Rousakis, Michael, 2012. "Expectations and Fluctuations: The Role of Monetary Policy," Economic Research Papers 270655, University of Warwick - Department of Economics.
    19. John Barrdear, 2014. "Peering into the mist: social learning over an opaque observation network," Discussion Papers 1409, Centre for Macroeconomics (CFM).
    20. Baxter, Brad & Graham, Liam & Wright, Stephen, 2011. "Invertible and non-invertible information sets in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 295-311, March.

    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:ufl:wpaper:001006. 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: Jonathan Adams (email available below). General contact details of provider: https://edirc.repec.org/data/eduflus.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.