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Equilibrium stability in a nonlinear cobweb model

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  • Evans, George W.
  • McGough, Bruce

Abstract

We demonstrate existence, and stability under adaptive learning, of restricted perceptions equilibria in a nonlinear cobweb model.

Suggested Citation

  • Evans, George W. & McGough, Bruce, 2020. "Equilibrium stability in a nonlinear cobweb model," Economics Letters, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:ecolet:v:193:y:2020:i:c:s0165176520301063
    DOI: 10.1016/j.econlet.2020.109130
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    References listed on IDEAS

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    1. Klaus Adam, 2007. "Experimental Evidence on the Persistence of Output and Inflation," Economic Journal, Royal Economic Society, vol. 117(520), pages 603-636, April.
    2. Marcet, Albert & Sargent, Thomas J, 1989. "Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1306-1322, December.
    3. Sargent, Thomas J., 1991. "Equilibrium with signal extraction from endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 245-273, April.
    4. James Bullard & George W. Evans & Seppo Honkapohja, 2008. "Monetary Policy, Judgment, and Near-Rational Exuberance," American Economic Review, American Economic Association, vol. 98(3), pages 1163-1177, June.
    5. Hommes, Cars & Zhu, Mei, 2014. "Behavioral learning equilibria," Journal of Economic Theory, Elsevier, vol. 150(C), pages 778-814.
    6. Branch, William A. & Evans, George W., 2006. "Intrinsic heterogeneity in expectation formation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 264-295, March.
    7. George W. Evans, 2001. "Expectations in Macroeconomics. Adaptive versus Eductive Learning," Revue Économique, Programme National Persée, vol. 52(3), pages 573-582.
    8. Evans, George W. & Honkapohja, Seppo & Sargent, Thomas J., 1993. "On the preservation of deterministic cycles when some agents perceive them to be random fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 705-721.
    9. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(3), pages 287-321, September.
    10. Evans, George W. & McGough, Bruce, 2020. "Stable near-rational sunspot equilibria," Journal of Economic Theory, Elsevier, vol. 186(C).
    11. Branch, William A. & McGough, Bruce, 2005. "Consistent expectations and misspecification in stochastic non-linear economies," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 659-676, April.
    12. Colander,David (ed.), 2006. "Post Walrasian Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521865487, October.
    13. Colander,David (ed.), 2006. "Post Walrasian Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521684200, October.
    14. Sergey Slobodyan & Raf Wouters, 2012. "Learning in a Medium-Scale DSGE Model with Expectations Based on Small Forecasting Models," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 65-101, April.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Evans, David & Li, Jungang & McGough, Bruce, 2023. "Local rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 216-236.
    2. Evans, David & Evans, George W. & McGough, Bruce, 2022. "The RPEs of RBCs and other DSGEs," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    3. Eran Guse & M. C. Sunny Wong, 2022. "Communication and Learning: The Bilateral Information Transmission in the Cobweb Model," Computational Economics, Springer;Society for Computational Economics, vol. 60(2), pages 693-723, August.

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    More about this item

    Keywords

    E-stability; Adaptive learning; Restricted perceptions equilibrium; Cobweb model;
    All these keywords.

    JEL classification:

    • 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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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