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Modeling diverse expectations in an aggregated New Keynesian Model

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  • Kurz, Mordecai
  • Piccillo, Giulia
  • Wu, Howei

Abstract

We explore a New Keynesian Model with diverse beliefs and study the aggregation problems in the log-linearized economy. We show the solution of these problems depend upon the belief structure. Agents' beliefs are described by individual state variables and satisfy three Rationality Axioms, leading to the emergence of an aggregate state variable named “mean market state of belief.” In equilibrium, endogenous variables are functions of mean market belief and this state variable is the tool used to solve the aggregation problems.

Suggested Citation

  • Kurz, Mordecai & Piccillo, Giulia & Wu, Howei, 2013. "Modeling diverse expectations in an aggregated New Keynesian Model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1403-1433.
    • Handle: RePEc:eee:dyncon:v:37:y:2013:i:8:p:1403-1433
    DOI: 10.1016/j.jedc.2013.01.016
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    as
    1. Susanto Basu, 1996. "Procyclical Productivity: Increasing Returns or Cyclical Utilization?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 719-751.
    2. Olivier Blanchard & Jordi Galí, 2010. "Labor Markets and Monetary Policy: A New Keynesian Model with Unemployment," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(2), pages 1-30, April.
    3. Jasmina Arifovic & James Bullard & Olena Kostyshyna, 2013. "Social Learning and Monetary Policy Rules," Economic Journal, Royal Economic Society, vol. 123(567), pages 38-76, March.
    4. Jeffrey A. Frankel & Andrew K. Rose, 1994. "A Survey of Empirical Research on Nominal Exchange Rates," NBER Working Papers 4865, National Bureau of Economic Research, Inc.
    5. Mordecai Kurz & Maurizio Motolese, 2011. "Diverse beliefs and time variability of risk premia," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 293-335, June.
    6. Laurence M. Ball, 1999. "Policy Rules for Open Economies," NBER Chapters, in: Monetary Policy Rules, pages 127-156, National Bureau of Economic Research, Inc.
    7. Klaus Adam, 2007. "Experimental Evidence on the Persistence of Output and Inflation," Economic Journal, Royal Economic Society, vol. 117(520), pages 603-636, April.
    8. Eichenbaum, Martin, 1991. "Real business-cycle theory : Wisdom or whimsy?," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 607-626, October.
    9. Mordecai Kurz & Maurizio Motolese, "undated". "Endogenous Uncertainty and Market Volatility," Working Papers 99005, Stanford University, Department of Economics.
    10. Ho-Mou Wu & Mordecai Kurz, 1996. "Endogenous uncertainty in a general equilibrium model with price contingent contracts (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 461-488.
    11. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(4), pages 807-824.
    12. Frankel, Jeffrey A. & Rose, Andrew K., 1995. "Empirical research on nominal exchange rates," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 33, pages 1689-1729, Elsevier.
    13. Kurz, Mordecai & Jin, Hehui & Motolese, Maurizio, 2005. "The role of expectations in economic fluctuations and the efficacy of monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 29(11), pages 2017-2065, November.
    14. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    15. Mark Gertler & Luca Sala & Antonella Trigari, 2008. "An Estimated Monetary DSGE Model with Unemployment and Staggered Nominal Wage Bargaining," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1713-1764, December.
    16. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    17. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    18. Maurizio Motolese, 2003. "Endogenous uncertainty and the non-neutrality of money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 317-345, March.
    19. Anufriev, M. & Assenza, T. & Hommes, C.H. & Massaro, D., 2008. "Interest Rate Rules with Heterogeneous Expectations," CeNDEF Working Papers 08-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    20. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
    21. George W. Evans & Seppo Honkapohja, 2006. "Monetary Policy, Expectations and Commitment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 108(1), pages 15-38, March.
    22. Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-872, August.
    23. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner (ed.), 2009. "Handbook of Financial Markets: Dynamics and Evolution," Elsevier Monographs, Elsevier, edition 1, number 9780123742582.
    24. Branch, William A. & Evans, George W., 2006. "Intrinsic heterogeneity in expectation formation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 264-295, March.
    25. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    26. William Branch & George Evans, 2011. "Monetary policy and heterogeneous expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 365-393, June.
    27. Howitt, Peter, 1992. "Interest Rate Control and Nonconvergence to Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 776-800, August.
    28. Lawrence H. Summers, 1986. "Some skeptical observations on real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 10(Fall), pages 23-27.
    29. Alex Brazier & Richard Harrison & Mervyn King & Tony Yates, 2008. "The Danger of Inflating Expectations of Macroeconomic Stability: Heuristic Switching in an Overlapping-Generations Monetary Model," International Journal of Central Banking, International Journal of Central Banking, vol. 4(2), pages 219-254, June.
    30. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    31. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
    32. Shinji Takagi, 1991. "Exchange Rate Expectations: A Survey of Survey Studies," IMF Staff Papers, Palgrave Macmillan, vol. 38(1), pages 156-183, March.
    33. Branch, William A. & McGough, Bruce, 2009. "A New Keynesian model with heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1036-1051, May.
    34. Taylor, John B, 1979. "Estimation and Control of a Macroeconomic Model with Rational Expectations," Econometrica, Econometric Society, vol. 47(5), pages 1267-1286, September.
    35. Paul Grauwe, 2011. "Animal spirits and monetary policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 423-457, June.
    36. Batchelor, Roy & Dua, Pami, 1991. "Blue Chip Rationality Tests," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(4), pages 692-705, November.
    37. Carl E. Walsh, 2010. "Monetary Theory and Policy, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262013770, April.
    38. William Branch & Bruce McGough, 2011. "Business cycle amplification with heterogeneous expectations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 395-421, June.
    39. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    40. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    41. Massaro, Domenico, 2013. "Heterogeneous expectations in monetary DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 37(3), pages 680-692.
    42. Guido Lorenzoni, 2009. "A Theory of Demand Shocks," American Economic Review, American Economic Association, vol. 99(5), pages 2050-2084, December.
    43. Hehui JIN, 2007. "Nominal Interest Rate Rules under Heterogeneous Beliefs," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 115(3), pages 403-442.
    44. Maurizio Motolese, 2001. "Money non-neutrality in a Rational Belief Equilibrium with financial assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 97-126.
    45. Fabio Milani, 2011. "Expectation Shocks and Learning as Drivers of the Business Cycle," Economic Journal, Royal Economic Society, vol. 121(552), pages 379-401, May.
    46. Robert E. Lucas Jr., 2003. "Macroeconomic Priorities," American Economic Review, American Economic Association, vol. 93(1), pages 1-14, March.
    47. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    More about this item

    Keywords

    New Keynesian Model; Heterogenous beliefs; Market state of belief; Bayesian learning; Updating beliefs; Rational beliefs; Monetary policy rule;
    All these keywords.

    JEL classification:

    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E27 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Forecasting and Simulation: Models and Applications
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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