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Adaptive and statistical expectations in a renewable resource market

  • Foroni, Ilaria
  • Gardini, Laura
  • Rosser, J.Barkley

Rational expectations models have increasingly been replaced by models with various forms of learning. This paper studies the global dynamics of a model of renewable resource markets due to Hommes and Rosser [Macroecon. Dyn. 5 (2001) 180] under adaptive and statistical learning systems. The statistical learning system is seen to generate greater complexity of the structures of the basins of attraction, especially at higher discount rates. An element of particular interest is that bifurcations generating lobes in the basins arise from particular focal points, associated with prefocal sets at infinity on the Poincaré equator in the statistical learning model.

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Article provided by Elsevier in its journal Mathematics and Computers in Simulation (MATCOM).

Volume (Year): 63 (2003)
Issue (Month): 6 ()
Pages: 541-567

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Handle: RePEc:eee:matcom:v:63:y:2003:i:6:p:541-567
Contact details of provider: Web page: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/

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  1. Lucas, Robert E, Jr, 1986. "Adaptive Behavior and Economic Theory," The Journal of Business, University of Chicago Press, vol. 59(4), pages S401-26, October.
  2. Cars H. Hommes & J. Barkley Rosser, 2001. "Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets," Tinbergen Institute Discussion Papers 01-013/1, Tinbergen Institute.
  3. Bischi, Gian-Italo & Marimon, Ramon, 2001. "Global Stability Of Inflation Target Policies With Adaptive Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 148-179, April.
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  7. Blanchard, Olivier J, 1981. "Output, the Stock Market, and Interest Rates," American Economic Review, American Economic Association, vol. 71(1), pages 132-43, March.
  8. 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.
  9. Friedman, Benjamin M., 1979. "Optimal expectations and the extreme information assumptions of `rational expectations' macromodels," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 23-41, January.
  10. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
  11. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
  12. Heiner, Ronald A., 1989. "The origin of predictable dynamic behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 12(2), pages 233-257, October.
  13. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
  14. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
  15. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
  16. Chiarella, Carl, 1991. "The bifurcation of probability distributions in a non-linear rational expectations model of monetary economy," European Journal of Political Economy, Elsevier, vol. 7(1), pages 65-78, April.
  17. Chiarella, Carl, 1986. "Perfect foresight models and the dynamic instability problem from a higher viewpoint," Economic Modelling, Elsevier, vol. 3(4), pages 283-292, October.
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