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Heterogeneous Expectations, Adaptive Learning, and Evolutionary Dynamics

  • Eran A. Guse

    (Department of Economics, West Virginia University)

This paper presents a linear self-referential macroeconomic model with the possibility of multiple equilibria where agents have the choice of using one of two forecasting models (one of minimum state variable form and the other of sunspot form) to form expectations of current and future prices. Endogenous predictor selection is modeled as an evolutionary game where individuals choose among the forecasting models based on relative performance. Some Nash solutions are not relevant as they are not stable under evolutionary or adaptive learning. Finally, it is shown that the sunspot equilibrium is fragile against temporary shocks to information costs.

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File URL: http://www.be.wvu.edu/phd_economics/pdf/09-01.pdf
File Function: First version, November 2006
Download Restriction: no

Paper provided by Department of Economics, West Virginia University in its series Working Papers with number 09-01.

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Length: 30 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:wvu:wpaper:09-01
Contact details of provider: Postal: P.O. Box 6025, Morgantown, WV 26506-6025
Phone: (304) 293-7859
Fax: (304) 293-2233
Web page: http://www.be.wvu.edu/phd_economics/
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  1. 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.
  2. Evans, George W. & Honkapohja, Seppo & Marimon, Ramon, 1996. "Convergence in Monetary Inflation Models with Heterogeneous Learning Rules," CEPR Discussion Papers 1310, C.E.P.R. Discussion Papers.
  3. Evans, George W. & McGough, Bruce, 2003. "Monetary policy, indeterminacy and learning," CFS Working Paper Series 2003/37, Center for Financial Studies (CFS).
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  7. George Evans & William Branch, 2003. "Intrinsic Heterogeneity in Expectation Formation," Computing in Economics and Finance 2003 312, Society for Computational Economics.
  8. Chryssi Giannitsarou, 2003. "Heterogeneous Learning," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 885-906, October.
  9. Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-24, March.
  10. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  11. Eran Guse, 2007. "Learning in a Misspecified Multivariate Self-Referential Linear Stochastic Model," Money Macro and Finance (MMF) Research Group Conference 2006 71, Money Macro and Finance Research Group.
  12. Branch, William A., 2002. "Local convergence properties of a cobweb model with rationally heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 63-85, November.
  13. Seppo Honkapohja & Kaushik Mitra, 2002. "Learning Stability in Economies with Heterogenous Agents," CESifo Working Paper Series 772, CESifo Group Munich.
  14. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  15. W. Brian Arthur, 1992. "On Learning and Adaptation in the Economy," Working Papers 854, Queen's University, Department of Economics.
  16. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
  17. Guse, Eran A., 2005. "Stability properties for learning with heterogeneous expectations and multiple equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1623-1642, October.
  18. Taylor, John B, 1977. "Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations," Econometrica, Econometric Society, vol. 45(6), pages 1377-85, September.
  19. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
  20. Heinemann, Maik, 2000. "Convergence Of Adaptive Learning And Expectational Stability: The Case Of Multiple Rational-Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 4(03), pages 263-288, September.
  21. Evans, George W. & Ramey, Garey, 1998. "Calculation, Adaptation And Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 2(02), pages 156-182, June.
  22. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April.
  23. Branch William & McGough Bruce, 2004. "Multiple Equilibria in Heterogeneous Expectations Models," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-16, December.
  24. Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2006. "Are hyperinflation paths learnable?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2725-2748, December.
  25. 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.
  26. Thomas J. Sargent, 1973. "Rational Expectations, the Real Rate of Interest, and the Natural Rate of Unemployment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(2), pages 429-480.
  27. Sethi, Rajiv & Franke, Reiner, 1995. "Behavioural Heterogeneity under Evolutionary Pressure: Macroeconomic Implications of Costly Optimisation," Economic Journal, Royal Economic Society, vol. 105(430), pages 583-600, May.
  28. Arifovic, Jasmina, 1994. "Genetic algorithm learning and the cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 3-28, January.
  29. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
  30. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  31. Sethi, Rajiv, 1996. "Endogenous regime switching in speculative markets," Structural Change and Economic Dynamics, Elsevier, vol. 7(1), pages 99-118, March.
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