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Stochastic gradient learning in the cobweb model

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  • Evans, George W.
  • Honkapohja, S.

Abstract

We consider the effects of replacing least squares learning by stochastic gradient learning in the multivariate "Cobweb" model. Are the stability conditions altered? For this model, we show global convergence of stochastic gradient learning to the unique rational expectations equilibrium provided the E-stability condition is satisfied.

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File URL: http://www.sciencedirect.com/science/article/B6V84-3Y8WGMK-C/2/58dd2c0de53ff298cf3e3d01af01e86c
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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 61 (1998)
Issue (Month): 3 (December)
Pages: 333-337

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Handle: RePEc:eee:ecolet:v:61:y:1998:i:3:p:333-337

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Web page: http://www.elsevier.com/locate/ecolet

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  1. 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.
  2. Evans, George W & Honkapohja, Seppo, 1998. "Economic Dynamics with Learning: New Stability Results," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 23-44, January.
  3. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
  4. Kuan, Chung-Ming & White, Halbert, 1994. "Adaptive Learning with Nonlinear Dynamics Driven by Dependent Processes," Econometrica, Econometric Society, vol. 62(5), pages 1087-1114, September.
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Cited by:
  1. Jaqueson Galimberti & Michele Berardi, 2014. "A Note on the Representative Adaptive Learning Algorithm," KOF Working papers 14-356, KOF Swiss Economic Institute, ETH Zurich.
  2. Atanas Christev, 2006. "Learning Hyperinflations," Computing in Economics and Finance 2006 475, Society for Computational Economics.
  3. Seppo Honkapohja & Kaushik Mitra, 2002. "Learning Stability in Economies with Heterogenous Agents," CESifo Working Paper Series 772, CESifo Group Munich.
  4. Berardi, Michele & Galimberti, Jaqueson K., 2013. "A note on exact correspondences between adaptive learning algorithms and the Kalman filter," Economics Letters, Elsevier, vol. 118(1), pages 139-142.
  5. Michele Berardi & Jaqueson K. Galimberti, 2012. "On the plausibility of adaptive learning in macroeconomics: A puzzling conflict in the choice of the representative algorithm," Centre for Growth and Business Cycle Research Discussion Paper Series 177, Economics, The Univeristy of Manchester.
  6. Colucci, Domenico & Valori, Vincenzo, 2005. "Error learning behaviour and stability revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 371-388, March.
  7. Gauthier, S., 1999. "Determinacy and Stability Under Learning of Rational Expectations Equilibria," G.R.E.Q.A.M. 99a46, Universite Aix-Marseille III.
  8. Ronald B. Davies & Paul Shea, 2003. "Adaptive Learning with a Unit Root: An Application to the Current Account," University of Oregon Economics Department Working Papers 2006-15, University of Oregon Economics Department, revised 10 Jun 2003.
  9. Michele Berardi & Jaqueson K. Galimberti, 2012. "On the initialization of adaptive learning algorithms: A review of methods and a new smoothing-based routine," Centre for Growth and Business Cycle Research Discussion Paper Series 175, Economics, The Univeristy of Manchester.

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