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Adaptive and statistical expectations in a renewable resource market

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

Abstract

Rational expectations models have increasingly been replaced by models with various forms of learning.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.

Suggested Citation

  • Foroni, Ilaria & Gardini, Laura & Rosser, J.Barkley, 2003. "Adaptive and statistical expectations in a renewable resource market," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 541-567.
    • Handle: RePEc:eee:matcom:v:63:y:2003:i:6:p:541-567
    DOI: 10.1016/S0378-4754(03)00063-6
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Uehara, Takuro, 2013. "Ecological threshold and ecological economic threshold: Implications from an ecological economic model with adaptation," Ecological Economics, Elsevier, vol. 93(C), pages 374-384.
    2. Pu-yan Nie & Peng Sun & Bill Z. Yang, 2014. "A Dynamic Study on Ecological Disaster, Government Regulation, and Renewable Resources," American Journal of Economics and Sociology, Wiley Blackwell, vol. 73(2), pages 410-442, April.
    3. Nicky Yeong & Chong Mun Ho & Brian Dollery & Mori Kogid, 2010. "A test of the present value model of stock prices under rational and adaptive expectations using Bursa Malaysia data from 1983 to 2003," Applied Economics Letters, Taylor & Francis Journals, vol. 17(18), pages 1835-1839.
    4. Rosser Jr., J. Barkley, 2010. "Is a transdisciplinary perspective on economic complexity possible?," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 3-11, July.
    5. J. Barkley Rosser, Jr, 2011. "Post Keynesian Perspectives And Complex Ecologic–Economic Dynamics," Metroeconomica, Wiley Blackwell, vol. 62(1), pages 96-121, February.
    6. Agliari, Anna & Dieci, Roberto & Gardini, Laura, 2007. "Homoclinic tangles in a Kaldor-like business cycle model," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 324-347, March.

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    More about this item

    Keywords

    Adaptive models; Statistical learning; Fishery models; Complex basins; Global bifurcations;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • M30 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - General

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