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Robustness of Adaptive Expectations as an Equilibrium Selection Device

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  • Lettau, Martin
  • Van Zandt, Timothy

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 C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2882.

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Date of creation: Jul 2001
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Handle: RePEc:cpr:ceprdp:2882

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Keywords: adaptive expectations; inflation; stability;

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References

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  1. 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.
  2. 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.
  3. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  4. James Bullard, 1991. "Learning equilibria," Working Papers 1991-004, Federal Reserve Bank of St. Louis.
  5. Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-107, September.
  6. 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.
  7. 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.
  8. 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. Jan Tuinstra, 2001. "Beliefs Equilbria in an Overlapping Generations Model," CeNDEF Workshop Papers, January 2001 4B.4, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  2. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 887-907.
  3. Oscar J. Arce, 2006. "Speculative Hyperinflations: When Can We Rule Them Out?," Computing in Economics and Finance 2006 376, Society for Computational Economics.
  4. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
  5. Shurojit Chatterji & Ignacio N. Lobato, 2010. "Transformations of the state variable and learning dynamics," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(4), pages 385-403.
  6. 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.
  7. Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2003. "Are stationary hyperinflation paths learnable?," CFS Working Paper Series 2004/15, Center for Financial Studies (CFS).
  8. 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.
  9. 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.

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