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Robustness of Adaptive Expections as an Equilibrium Selection Device

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  • Lettau, M.
  • Van Zandt, T.

Abstract

Dynamic models in which agents' behaviour depends on expectations of future prices or other endogenous variables can have steady states that are stationary equilibria for a wide variety of expectations rules, including rational expectations. When there are multiple steady states, stability is a criterion for selecting predictions of long-run outcomes among them. The purpose of this Paper is to study how sensitive stability is to certain details of the expectations rules, in a simple OLG model with constant government debt that is financed through seigniorage. We compare simple recursive learning rules, learning rules with vanishing gain, and OLS learning, and also relate these to expectational stability. One finding is that two adaptive expectation rules that differ only in whether they use current information can have opposite stability properties.

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Bibliographic Info

Paper provided by Tilburg - Center for Economic Research in its series Papers with number 9598.

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Length: 24 pages
Date of creation: 1995
Date of revision:
Handle: RePEc:fth:tilbur:9598

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Keywords: GENERAL EQUILIBRIUM;

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References

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  1. Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December.
  2. Ramon Marimon & Shyam Sunder, 1993. "Indeterminacy of equilibria in a hyperinflationary world: Experimental evidence," Economics Working Papers 25, Department of Economics and Business, Universitat Pompeu Fabra.
  3. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
  4. Evans, Jean Lynne & Yarrow, George Keith, 1981. "Some Implications of Alternative Expectations Hypotheses in the Monetary Analysis of Hyperinflations," Oxford Economic Papers, Oxford University Press, vol. 33(1), pages 61-80, March.
  5. Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November.
  6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  7. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
  8. George W. Evans & Seppo Honkapohja, 2000. "Convergence for difference equations with vanishing time-dependence, with applications to adaptive learning," Economic Theory, Springer, vol. 15(3), pages 717-725.
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Citations

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Cited by:
  1. Klaus Adam & George W. Evans & Seppo Honkapoja, 2003. "Are Stationary Hyperinflation Paths Learnable?," CESifo Working Paper Series 936, CESifo Group Munich.
  2. Óscar J. Arce, 2006. "Speculative hyperinflations: when can we rule them out?," Banco de Espa�a Working Papers 0607, Banco de Espa�a.
  3. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
  4. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," Review of Economic Studies, Wiley Blackwell, vol. 70(4), pages 887-907, October.
  5. Shurojit Chatterji & Ignacio Lobato, 2007. "Transformations of the State Variable and Learning Dynamics," Working Papers 0708, Centro de Investigacion Economica, ITAM.
  6. Barucci, Emilio, 2001. "Fading memory learning in a class of forward-looking models with an application to hyperinflation dynamics," Economic Modelling, Elsevier, vol. 18(2), pages 233-252, April.
  7. Klaus Adam, 2001. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky," CSEF Working Papers 69, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  8. Tuinstra, Jan, 2003. "Beliefs equilibria in an overlapping generations model," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 145-164, February.
  9. Alonso-Carrera, Jaime, 2001. "On learning to forecast in an endogenous growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1139-1156, August.

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