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Learning in a large square economy

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  • James Bullard
  • John Duffy

Abstract

Learning is introduced into a sequence of large square endowment economies indexed by n, in which agents live n periods. Young agents need to forecast n - 1 periods ahead in these models in order to make consumption decisions, and thus these models constitute multi-step ahead systems. Real time learning is introduced via least squares. The systems studied in this paper are sometimes locally convergent when n = 2,3 but are never locally convergent when . Because the economies studied are analogous, nonconvergence can be attributed solely to the multi-step ahead nature of the forecast problem faced by the agents. We interpret this result as suggesting that beliefs-outcomes interaction may be an important element in explaining actual dynamics in general equilibrium systems of this type.

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Bibliographic Info

Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 1994-013.

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Date of creation: 1993
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Handle: RePEc:fip:fedlwp:1994-013

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Keywords: Consumption (Economics);

References

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  1. 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.
  2. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
  3. Ramon Marimon & Stephen E. Spear & Shyam Sunder, 1993. "Expectationally-driven market volatility: An experimental study," Economics Working Papers 21, Department of Economics and Business, Universitat Pompeu Fabra.
  4. 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.
  5. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
  6. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
  7. Grandmont Jean-michel & Laroque G, 1990. "Economic dynamics with learning : some instability examples," CEPREMAP Working Papers (Couverture Orange) 9007, CEPREMAP.
  8. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
  9. George W. Evans & Seppo Honkapohja, 1992. "Adaptive Learning and Expectational Stability: An Introduction - (Now published as Ch.4 in 'Learning Rationality in Economics', A Kirman and M Salmon (eds), 1995, Basil Blackwell, Oxford), pp.102-126.," STICERD - Theoretical Economics Paper Series /1992/248, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  10. Imrohoroglu, Selahattin, 1993. "Testing for sunspot equilibria in the German hyperinflation," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 289-317.
  11. Marimon, Ramon & McGrattan, Ellen & Sargent, Thomas J., 1990. "Money as a medium of exchange in an economy with artificially intelligent agents," Journal of Economic Dynamics and Control, Elsevier, vol. 14(2), pages 329-373, May.
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Cited by:
  1. Elder, Erick, 1999. "Dynamic Fiscal Policy with Regime-Duration Uncertainty: The Tax-Cut Case," Journal of Macroeconomics, Elsevier, vol. 21(1), pages 29-55, January.

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