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Learning Stability in Economies with Heterogeneous Agents

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Author Info
Seppo Honkapohja (University of Cambridge)
Kaushik Mitra (University of St. Andrews)

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Abstract

An economy exhibits structural heterogeneity when the forecasts of different agents have different effects on the determination of aggregate variables. We study the important case of economies in which agents' behavior depends on forecasts of aggregate variables and show how different forms of heterogeneity in structure, forecasts, and adaptive learning rules affect the conditions for convergence of adaptive learning towards rational expectations equilibrium. Results are applied to an overlapping generations model and a New Keynesian model of monetary policy. (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1016/j.red.2006.01.003
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Publisher Info
Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 9 (2006)
Issue (Month): 2 (April)
Pages: 284-309
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Handle: RePEc:red:issued:v:9:y:2006:i:2:p:284-309

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Related research
Keywords: Adaptive learning expectations formation stability of equilibrium overlapping generations model inflation monetary policy

Other versions of this item:

Find related papers by JEL classification:
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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  1. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
  2. Evans, G.W. & Honkapohja ,S. & Williams, N., 2005. "Generalized Stochastic Gradient Learning," Cambridge Working Papers in Economics 0545, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  3. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December. [Downloadable!] (restricted)
    Other versions:
  4. Evans, George W & Honkapohja, Seppo & Marimon, Ramon, 1996. "Convergence in Monetary Inflation Models with Heterogeneous Learning Rules," CEPR Discussion Papers 1310, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  5. Thomas J. Sargent & Noah William, 2005. "Impacts of Priors on Convergence and Escapes from Nash Inflation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 360-391, April. [Downloadable!] (restricted)
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  6. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
  7. Bennett T. McCallum & Edward Nelson, 1998. "Performance of Operational Policy Rules in an Estimated Semi-Classical Structural Model," NBER Working Papers 6599, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Evans, George W. & Honkapohja, Seppo, 1996. "Least squares learning with heterogeneous expectations," Economics Letters, Elsevier, vol. 53(2), pages 197-201, November. [Downloadable!] (restricted)
  9. Evans, George W & Honkapohja, Seppo, 2002. "Monetary Policy, Expectations and Commitment," CEPR Discussion Papers 3434, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  10. Honkapohja, Seppo & Mitra, Kaushik, 2003. "Learning with bounded memory in stochastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1437-1457, June. [Downloadable!] (restricted)
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  11. Moreno Diego & Walker Mark, 1994. "Two Problems in Applying Ljung's Projection Algorithms to the Analysis of Decentralized Learning," Journal of Economic Theory, Elsevier, vol. 62(2), pages 420-427, April. [Downloadable!] (restricted)
  12. Evans, George W & Honkapohja, Seppo, 1998. "Economic Dynamics with Learning: New Stability Results," Review of Economic Studies, Blackwell Publishing, vol. 65(1), pages 23-44, January. [Downloadable!] (restricted)
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  13. Carlo Monticelli & Oreste Tristani, 1999. "What does the single monetary policy do? A SVAR benchmark for the European Central Bank," Working Paper Series 2, European Central Bank. [Downloadable!]
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  16. Evans, G.W. & Honkapohja, S., 1998. "Stochastic Gradient Learning in the Cobweb Model," University of Helsinki, Department of Economics 438, Department of Economics.
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  17. Grandmont Jean-michel & Laroque G, 1990. "Economic dynamics with learning : some instability examples," CEPREMAP Working Papers (Couverture Orange) 9007, CEPREMAP.
  18. 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 1306-22, December. [Downloadable!] (restricted)
  19. George W. Evans & Seppo Honkapohja, 2003. "Adaptive learning and monetary policy design," Proceedings, Federal Reserve Bank of Cleveland, pages 1045-1084.
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  20. Honkapohja, Seppo & Mitra, Kaushik, 2002. "Performance of monetary policy with internal central bank forecasting," Research Discussion Papers 3/2002, Bank of Finland. [Downloadable!]
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  21. Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-107, September. [Downloadable!] (restricted)
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  22. Bennett T. McCallum & Edward Nelson, 2004. "Timeless perspective vs. discretionary monetary policy in forward-looking models," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 43-56. [Downloadable!]
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  23. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," Review of Economic Studies, Blackwell Publishing, vol. 70(4), pages 807-824, October. [Downloadable!] (restricted)
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  24. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October. [Downloadable!] (restricted)
  25. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August. [Downloadable!] (restricted)
  26. Michael Woodford, 1996. "Control of the Public Debt: A Requirement for Price Stability?," NBER Working Papers 5684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  27. Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January. [Downloadable!] (restricted)
  28. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March. [Downloadable!] (restricted)
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  29. Negroni, Giorgio, 2003. "Adaptive expectations coordination in an economy with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 117-140, October. [Downloadable!] (restricted)
  30. 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. [Downloadable!] (restricted)
  31. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September. [Downloadable!] (restricted)
  32. George W. Evans & Roger Guesnerie, 1999. "Coordination on saddle path solutions: the eductive viewpoint," University of Oregon Economics Department Working Papers 2001-7, University of Oregon Economics Department, revised 15 May 2001. [Downloadable!]
  33. Jan Marc Berk & Peter A.G. Vanbergeijk, 2000. "Is the yield curve a useful information variable for the Eurosystem?," Working Paper Series 11, European Central Bank. [Downloadable!]
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  35. Fourgeaud, Claude & Gourieroux, Christian & Pradel, Jacqueline, 1986. "Learning Procedures and Convergence to Rationality," Econometrica, Econometric Society, vol. 54(4), pages 845-68, July. [Downloadable!] (restricted)
    Other versions:
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