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Expectational stability of stationary sunspot equilibria in a forward-looking linear model

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  • Evans, George W.
  • Honkapohja, Seppo

Abstract

We consider the stability under adaptive learning of the complete set of solutions to the model x_i=beta(Ei*)(x_i+1) when |beat| >1. In addition to the fundamentals solution, the literature describes both finite-state Markov sunspot solutions and autoregressive solutions depending on an arbitrary martingale difference sequence. We clarify the relationships between these solutions and show that the stability properties of equilibria may depend crucially on the representations used by agents in the learning process. Autoregressive forms of solutions are not learnable, but finite-state Markov sunspot solutions are stable under learning if beta

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 28 (2003)
Issue (Month): 1 (October)
Pages: 171-181

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Handle: RePEc:eee:dyncon:v:28:y:2003:i:1:p:171-181

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  1. Evans, George & Honkapohja, Seppo, 1986. "A Complete Characterization of ARMA Solutions to Linear Rational Expectations Models," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 227-39, April.
  2. 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.
  3. Desgranges, Gabriel & Negroni, Giorgio, 2003. "Expectations Coordination On A Sunspot Equilibrium: An Eductive Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 7-41, February.
  4. Gourieroux, C & Laffont, J J & Monfort, Alain, 1982. "Rational Expectations in Dynamic Linear Models: Analysis of the Solutions," Econometrica, Econometric Society, vol. 50(2), pages 409-25, March.
  5. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-126, September.
  6. Evans, George W. & Honkapohja, Seppo, 1999. "Learning dynamics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 7, pages 449-542 Elsevier.
  7. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
  8. Azariadis, Costas & Guesnerie, Roger, 1986. "Sunspots and Cycles," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 725-37, October.
  9. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
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Citations

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Cited by:
  1. George W. Evans & Seppo Honkapohja, 2008. "Expectations, Learning and Monetary Policy: An Overview of Recent Research," CDMA Working Paper Series 200802, Centre for Dynamic Macroeconomic Analysis.
  2. Seppo Honkapohja & Kaushik Mitra, . "Are Non-Fundamental Equilibria Learnable in Models of Monetary Policy?," Discussion Papers 01/05, Department of Economics, University of York.
  3. Evans, George W. & McGough, Bruce, 2005. "Stable sunspot solutions in models with predetermined variables," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 601-625, April.
  4. Berardi, Michele, 2012. "Strategic interactions, incomplete information and learning," MPRA Paper 38651, University Library of Munich, Germany.
  5. Evans, George W. & McGough, Bruce, 2003. "Monetary policy, indeterminacy and learning," CFS Working Paper Series 2003/37, Center for Financial Studies (CFS).
  6. Bennett T. McCallum, 2009. "Indeterminancy from inflation forecast targeting : problem or pseudo-problem?," Economic Quarterly, Federal Reserve Bank of Richmond, issue Win, pages 25-51.
  7. Berardi, Michele, 2009. "Heterogeneous expectations, sunspot equilibria and their fragility," Economics Letters, Elsevier, vol. 105(3), pages 276-279, December.
  8. Seonghoon Cho & Antonio Moreno, 2006. "Expectational Stability in Multivariate Models," Faculty Working Papers 06/08, School of Economics and Business Administration, University of Navarra.
  9. Ariane Szafarz, 2010. "How Did Financial-Crisis-Based Criticisms of Market Efficiency Get It So Wrong?," DULBEA Working Papers 10-01.RS., ULB -- Universite Libre de Bruxelles.
  10. Piero Ferri & Anna Maria Variato, 2007. "Endogenous Cycles, Debt and Monetary Policy," Working Papers 0703, University of Bergamo, Department of Economics.
  11. Piero Ferri & Anna Maria Variato, 2007. "Macro Dynamics in a Model with Uncertainty," Working Papers 0704, University of Bergamo, Department of Economics.

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