A note on learning chaotic sunspot equilibrium
In this paper we prove convergence to chaotic sunspot equilibrium through two learning rules used in the bounded rationality literature. The rst one shows the convergence of the actual dynamics generated by simple adaptive learning rules to a probability distribution that is close to the stationary measure of the sunspot equilibrium; since this stationary measure is absolutely continuous it results in a robust convergence to the stochastic equilibrium. The second one is based on the E-stability criterion for testing stability of rational expectations equilibrium, we show that the conditional probability distribution de ned by the sunspot equilibrium is expectational stable under a reasonable updating rule of this parameter. We also report some numerical simulations of the processes proposed.
|Date of creation:||01 May 2001|
|Date of revision:|
|Contact details of provider:|| Postal: Praia de Botafogo 190, sala 1100, Rio de Janeiro/RJ - CEP: 22253-900|
Web page: http://epge.fgv.br
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Chiappori, Pierre Andre & Guesnerie, Roger, 1991.
"Sunspot equilibria in sequential markets models,"
Handbook of Mathematical Economics,
in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 32, pages 1683-1762
- Jean-Michel Grandmont, 1998.
"Expectations Formation and Stability of Large Socioeconomic Systems,"
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.
- Jean-Michel Grandmont, 1997. "Expectations Formation and Stability of Large Socioeconomic Systems," Working Papers 97-27, Centre de Recherche en Economie et Statistique.
- 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).
- Grandmont, Jean-Michel, 1986.
"Stabilizing competitive business cycles,"
Journal of Economic Theory,
Elsevier, vol. 40(1), pages 57-76, October.
- Shurojit Chatterji, 1995.
"Temporary Eq'Uilibrium Dynamics With Bayesian Learning,"
Working Papers. Serie AD
1995-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Chatterji Shurojit, 1995. "Temporary Equilibrium Dynamics with Bayesian Learning," Journal of Economic Theory, Elsevier, vol. 67(2), pages 590-598, December.
- Lawrence J. Christiano & Sharon G. Harrison, 1996.
"Chaos, Sunspots, and Automatic Stabilizers,"
NBER Working Papers
5703, National Bureau of Economic Research, Inc.
- Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Staff Report 214, Federal Reserve Bank of Minneapolis.
- Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Working Paper Series, Macroeconomic Issues WP-96-16, Federal Reserve Bank of Chicago.
- Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January.
- 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.
- Woodford, Michael, 1990.
"Learning to Believe in Sunspots,"
Econometric Society, vol. 58(2), pages 277-307, March.
- Wilfredo L. Maldonado & Aloisio P. Araujo, 2000. "Ergodic chaos, learning and sunspot equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(1), pages 163-184.
- Guesnerie, Roger, 1993. "Theoretical tests of the rational expectations hypothesis in economic dynamical models," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 847-864.
- Majumdar, Mukul & Mitra, Tapan, 1994. "Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 649-76, August.
- Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
- 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.
- Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
- Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585, 8.
When requesting a correction, please mention this item's handle: RePEc:fgv:epgewp:423. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Núcleo de Computação da EPGE)
If references are entirely missing, you can add them using this form.