IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2208.02073.html
   My bibliography  Save this paper

Coherence without Rationality at the Zero Lower Bound

Author

Listed:
  • Guido Ascari
  • Sophocles Mavroeidis
  • Nigel McClung

Abstract

Standard rational expectations models with an occasionally binding zero lower bound constraint either admit no solutions (incoherence) or multiple solutions (incompleteness). This paper shows that deviations from full-information rational expectations mitigate concerns about incoherence and incompleteness. Models with no rational expectations equilibria admit self-confirming equilibria involving the use of simple mis-specified forecasting models. Completeness and coherence is restored if expectations are adaptive or if agents are less forward-looking due to some information or behavioral friction. In the case of incompleteness, the E-stability criterion selects an equilibrium.

Suggested Citation

  • Guido Ascari & Sophocles Mavroeidis & Nigel McClung, 2022. "Coherence without Rationality at the Zero Lower Bound," Papers 2208.02073, arXiv.org, revised Oct 2023.
  • Handle: RePEc:arx:papers:2208.02073
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2208.02073
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 87-118.
    2. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
    3. Gauti B. Eggertsson, 2011. "What Fiscal Policy Is Effective at Zero Interest Rates?," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 59-112, National Bureau of Economic Research, Inc.
    4. George-Marios Angeletos & Chen Lian, 2018. "Forward Guidance without Common Knowledge," American Economic Review, American Economic Association, vol. 108(9), pages 2477-2512, September.
    5. Marco Del Negro & Marc P. Giannoni & Christina Patterson, 2023. "The Forward Guidance Puzzle," Journal of Political Economy Macroeconomics, University of Chicago Press, vol. 1(1), pages 43-79.
    6. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    7. Bianchi, Francesco & Melosi, Leonardo & Rottner, Matthias, 2021. "Hitting the elusive inflation target," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 107-122.
    8. Fernández-Villaverde, Jesús & Gordon, Grey & Guerrón-Quintana, Pablo & Rubio-Ramírez, Juan F., 2015. "Nonlinear adventures at the zero lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 182-204.
    9. Audzei, Volha & Slobodyan, Sergey, 2022. "Sparse restricted perceptions equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    10. Eusepi, Stefano & Gibbs, Chris & Preston, Bruce, 2021. "Forward guidance with unanchored expectations," Bank of Finland Research Discussion Papers 11/2021, Bank of Finland.
    11. Alisdair McKay & Emi Nakamura & Jón Steinsson, 2017. "The Discounted Euler Equation: A Note," Economica, London School of Economics and Political Science, vol. 84(336), pages 820-831, October.
    12. Gauti Eggertsson & Sergey Egiev & Alessandro Lin & Josef Platzer & Luca Riva, 2021. "A Toolkit for Solving Models with a Lower Bound on Interest Rates of Stochastic Duration," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 121-173, July.
    13. George W. Evans & Seppo Honkapohja & Kaushik Mitra, 2022. "Expectations, Stagnation, And Fiscal Policy: A Nonlinear Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 1397-1425, August.
    14. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    15. George-Marios Angeletos & Chen Lian, 2023. "Determinacy without the Taylor Principle," Journal of Political Economy, University of Chicago Press, vol. 131(8), pages 2125-2164.
    16. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    17. Greta Meggiorini & Fabio Milani, 2021. "Behavioral New Keynesian Models: Learning vs. Cognitive Discounting," CESifo Working Paper Series 9039, CESifo.
    18. Bruce Preston, 2005. "Learning about Monetary Policy Rules when Long-Horizon Expectations Matter," International Journal of Central Banking, International Journal of Central Banking, vol. 1(2), September.
    19. Marcet, Albert & Sargent, Thomas J, 1989. "Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1306-1322, December.
    20. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    21. James Bullard & George W. Evans & Seppo Honkapohja, 2008. "Monetary Policy, Judgment, and Near-Rational Exuberance," American Economic Review, American Economic Association, vol. 98(3), pages 1163-1177, June.
    22. Assenza, T. & Heemeijer, P. & Hommes, C.H. & Massaro, D., 2021. "Managing self-organization of expectations through monetary policy: A macro experiment," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 170-186.
    23. John Beshears & James J. Choi & Andreas Fuster & David Laibson & Brigitte C. Madrian, 2013. "What Goes Up Must Come Down? Experimental Evidence on Intuitive Forecasting," American Economic Review, American Economic Association, vol. 103(3), pages 570-574, May.
    24. Boneva, Lena Mareen & Braun, R. Anton & Waki, Yuichiro, 2016. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 216-232.
    25. Evans, George W & McGough, Bruce, 2018. "Equilibrium selection, observability and backward-stable solutions," Journal of Monetary Economics, Elsevier, vol. 98(C), pages 1-10.
    26. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    27. McClung, Nigel, 2020. "E-stability vis-à-vis determinacy in regime-switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    28. Taisuke Nakata, 2018. "Reputation and Liquidity Traps," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 252-268, April.
    29. Evans, George W. & Guse, Eran & Honkapohja, Seppo, 2008. "Liquidity traps, learning and stagnation," European Economic Review, Elsevier, vol. 52(8), pages 1438-1463, November.
    30. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, vol. 93(5), pages 1476-1498, December.
    31. George W. Evans & Bruce Mcgough, 2018. "Interest‐Rate Pegs in New Keynesian Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(5), pages 939-965, August.
    32. Taisuke Nakata & Sebastian Schmidt, 2022. "Expectations-Driven Liquidity Traps: Implications for Monetary and Fiscal Policy," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 68-103, October.
    33. Alisdair McKay & Emi Nakamura & Jón Steinsson, 2016. "The Power of Forward Guidance Revisited," American Economic Review, American Economic Association, vol. 106(10), pages 3133-3158, October.
    34. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    35. Branch, William A. & Evans, George W., 2006. "Intrinsic heterogeneity in expectation formation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 264-295, March.
    36. Ascari, Guido & Mavroeidis, Sophocles, 2022. "The unbearable lightness of equilibria in a low interest rate environment," Journal of Monetary Economics, Elsevier, vol. 127(C), pages 1-17.
    37. James Bullard & Stefano Eusepi, 2014. "When Does Determinacy Imply Expectational Stability?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 1-22, February.
    38. Nakata, Taisuke & Schmidt, Sebastian, 2019. "Conservatism and liquidity traps," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 37-47.
    39. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May.
    40. George W. Evans, 2001. "Expectations in Macroeconomics. Adaptive versus Eductive Learning," Revue Économique, Programme National Persée, vol. 52(3), pages 573-582.
    41. Xavier Gabaix, 2020. "A Behavioral New Keynesian Model," American Economic Review, American Economic Association, vol. 110(8), pages 2271-2327, August.
    42. Stephen J. Cole, 2021. "Learning and the Effectiveness of Central Bank Forward Guidance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(1), pages 157-200, February.
    43. Woodford, Michael & Xie, Yinxi, 2022. "Fiscal and monetary stabilization policy at the zero lower bound: Consequences of limited foresight," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 18-35.
    44. Evans, George W. & Honkapohja, Seppo & Sargent, Thomas J., 1993. "On the preservation of deterministic cycles when some agents perceive them to be random fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 705-721.
    45. Taisuke Nakata, 2018. "Reputation and Liquidity Traps," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 252-268, April.
    46. repec:zbw:bofrdp:2021_011 is not listed on IDEAS
    47. Gourieroux, C & Laffont, J J & Monfort, A, 1980. "Coherency Conditions in Simultaneous Linear Equation Models with Endogenous Switching Regimes," Econometrica, Econometric Society, vol. 48(3), pages 675-695, April.
    48. Evans, George W. & McGough, Bruce, 2020. "Stable near-rational sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 186(C).
    49. Florin O. Bilbiie, 2022. "Neo-Fisherian Policies and Liquidity Traps," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 378-403, October.
    50. Karel R. S. M. Mertens & Morten O. Ravn, 2014. "Fiscal Policy in an Expectations-Driven Liquidity Trap," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1637-1667.
    51. Evans, George W. & Honkapohja, Seppo, 1998. "Convergence of learning algorithms without a projection facility," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 59-86, August.
    52. Honkapohja, Seppo & McClung, Nigel, 2021. "On robustness of average inflation targeting," Bank of Finland Research Discussion Papers 6/2021, Bank of Finland.
    53. repec:zbw:bofrdp:2021_006 is not listed on IDEAS
    54. Mendes, Rhys R., 2011. "Uncertainty and the Zero Lower Bound: A Theoretical Analysis," MPRA Paper 59218, University Library of Munich, Germany.
    55. Roc Armenter, 2018. "The Perils of Nominal Targets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 50-86.
    56. Sophocles Mavroeidis, 2021. "Identification at the Zero Lower Bound," Econometrica, Econometric Society, vol. 89(6), pages 2855-2885, November.
    57. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    58. James Bullard & Stefano Eusepi, 2014. "When Does Determinacy Imply Expectational Stability?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1-22, February.
    59. Branch, William A. & Davig, Troy & McGough, Bruce, 2013. "Adaptive Learning In Regime-Switching Models," Macroeconomic Dynamics, Cambridge University Press, vol. 17(5), pages 998-1022, July.
    60. Sergey Slobodyan & Raf Wouters, 2012. "Learning in a Medium-Scale DSGE Model with Expectations Based on Small Forecasting Models," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 65-101, April.
    61. Evans, David & Evans, George W. & McGough, Bruce, 2022. "The RPEs of RBCs and other DSGEs," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    62. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, 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. Guido Ascari & Sophocles Mavroeidis & Nigel McClung, 2023. "Coherence without Rationality at the ZLB," DEM Working Papers Series 212, University of Pavia, Department of Economics and Management.
    2. Ascari, Guido & Mavroeidis, Sophocles, 2022. "The unbearable lightness of equilibria in a low interest rate environment," Journal of Monetary Economics, Elsevier, vol. 127(C), pages 1-17.
    3. Evans, David & Evans, George W. & McGough, Bruce, 2022. "The RPEs of RBCs and other DSGEs," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    4. Tom D. Holden, 2023. "Existence and Uniqueness of Solutions to Dynamic Models with Occasionally Binding Constraints," The Review of Economics and Statistics, MIT Press, vol. 105(6), pages 1481-1499, November.
    5. George W. Evans & Seppo Honkapohja & Kaushik Mitra, 2022. "Expectations, Stagnation, And Fiscal Policy: A Nonlinear Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 1397-1425, August.
    6. Florin O. Bilbiie, 2022. "Neo-Fisherian Policies and Liquidity Traps," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 378-403, October.
    7. Rodríguez Arosemena, Nicolás, 2018. "The Dominium Mundi Game and the Case for Artificial Intelligence in Economics and the Law," MPRA Paper 90560, University Library of Munich, Germany.
    8. repec:zbw:bofrdp:2021_014 is not listed on IDEAS
    9. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Research Discussion Papers 14/2021, Bank of Finland.
    10. Eo, Yunjong & McClung, Nigel, 2021. "Determinacy and E-stability with interest rate rules at the zero lower bound," Bank of Finland Research Discussion Papers 14/2021, Bank of Finland.
    11. Evans, David & Li, Jungang & McGough, Bruce, 2023. "Local rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 216-236.
    12. Cars Hommes & Domenico Massaro & Isabelle Salle, 2019. "Monetary And Fiscal Policy Design At The Zero Lower Bound: Evidence From The Lab," Economic Inquiry, Western Economic Association International, vol. 57(2), pages 1120-1140, April.
    13. Nakata, Taisuke & Ogaki, Ryota & Schmidt, Sebastian & Yoo, Paul, 2019. "Attenuating the forward guidance puzzle: Implications for optimal monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 90-106.
    14. Goy, Gavin & Hommes, Cars & Mavromatis, Kostas, 2022. "Forward guidance and the role of central bank credibility under heterogeneous beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 1240-1274.
    15. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    16. Evans, George W. & McGough, Bruce, 2020. "Stable near-rational sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 186(C).
    17. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    18. Lansing, Kevin J., 2021. "Endogenous forecast switching near the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 153-169.
    19. He Nie & Jordan Roulleau-Pasdeloup, 2023. "The promises (and perils) of control-contingent forward guidance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 77-98, July.
    20. Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2017. "Forward Guidance And The State Of The Economy," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1593-1624, October.
    21. Roulleau-Pasdeloup, Jordan, 2020. "Optimal monetary policy and determinacy under active/passive regimes," European Economic Review, Elsevier, vol. 130(C).

    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
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    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:arx:papers:2208.02073. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.