Error learning behaviour and stability revisited
We study the implications of error learning behaviour on the global dynamic properties of stationary equilibria in discrete time deterministic models under bounded rationality. We assume agents' ability to learn from the past performance of their expectations formation mechanism, so that such mechanism itself is made endogenous. We determine sufficient conditions under which this type of error learning behaviour enhances the stability properties of the economy. Also, we show that the set of error learning rules compatible with these conditions is not small in a topological sense and that this set can be used to approximate, with arbitrary precision, alternative learning rules that have been considered in the literature. We focus on the consequences of these results on a class of models in which agents possess fading memory, along the lines of a thread of recent literature. In particular, in this framework we treat adaptive expectations as a special case. We propose a generalisation of this expectation mechanism with fading memory which tries to capture the attitude of agents in the presence of exogenous shocks or structural breaks.
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- Schonhofer, Martin, 2001. "Can agents learn their way out of chaos?," Journal of Economic Behavior & Organization, Elsevier, vol. 44(1), pages 71-83, January.
- Slonim, Robert L., 1999. "Learning rules of thumb or learning more rational rules," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 217-236, February.
- Balasko, Yves & Royer, Daniel, 1996. "Stability of Competitive Equilibrium with Respect to Recursive and Learning Processes," Journal of Economic Theory, Elsevier, vol. 68(2), pages 319-348, February.
- Evans, G.W. & Honkapohja, S., 1998.
"Stochastic Gradient Learning in the Cobweb Model,"
University of Helsinki, Department of Economics
438, Department of Economics.
- Lucas, Robert E, Jr, 1986. "Adaptive Behavior and Economic Theory," The Journal of Business, University of Chicago Press, vol. 59(4), pages 401-426, October.
- Jean-Michel Grandmont, 1997.
"Expectations Formation and Stability of Large Socioeconomic Systems,"
97-27, Centre de Recherche en Economie et Statistique.
- Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
- Grandmont, Jean-Michel, 1994. "Expectations formation and stability of large socioeconomic systems," CEPREMAP Working Papers (Couverture Orange) 9424, CEPREMAP.
- GRANDMONT, Jean-Michel, 1997. "Expectations formation and stability of large socioeconomic systems," CORE Discussion Papers 1997088, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
- Bullard James, 1994.
Journal of Economic Theory,
Elsevier, vol. 64(2), pages 468-485, December.
- Tuinstra, Jan, 2003.
"Beliefs equilibria in an overlapping generations model,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 50(2), pages 145-164, February.
- 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.
- Fuchs, Gerard & Laroque, Guy, 1976. "Dynamics of Temporary Equilibria and Expectations," Econometrica, Econometric Society, vol. 44(6), pages 1157-1178, November.
- 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.
- Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-224, March.
- Evans, George W. & Ramey, Garey, 1998. "Calculation, Adaptation And Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 2(02), pages 156-182, June.
- Hommes, Cars H., 1991. "Adaptive learning and roads to chaos : The case of the cobweb," Economics Letters, Elsevier, vol. 36(2), pages 127-132, June.
- Domenico Colucci & V. Valori, 2001.
"Error learning behaviour and stability revisited,"
CeNDEF Workshop Papers, January 2001
1A.1, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Barucci, Emilio, 2000. "Exponentially fading memory learning in forward-looking economic models," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 1027-1046, June.
- Barucci, Emilio & Landi, Leonardo, 1997. "Least mean squares learning in self-referential linear stochastic models," Economics Letters, Elsevier, vol. 57(3), pages 313-317, December.
- Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
- Fuchs, Gerard, 1979. "Is error learning behaviour stabilizing?," Journal of Economic Theory, Elsevier, vol. 20(3), pages 300-317, June.
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