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Rational expectations (may) lead to complex dynamics in a Muthian cobweb model with heterogeneous agents

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  • Naimzada, Ahmad
  • Pireddu, Marina

Abstract

Starting from a Muthian cobweb model, we extend the profit-based evolutionary setting in Hommes and Wagener (2010) by assuming that, in addition to pessimistic, optimistic and unbiased fundamentalists, the market is populated by rational producers, which correctly anticipate the next period price. Thanks to their introduction, we find that, differently from the framework in Hommes and Wagener (2010), the map governing the dynamics is no more monotonically decreasing. Hence, if on the one hand adding rational agents enlarges the local stability region of the steady state, on the other hand their consideration opens the door to complex dynamic outcomes, characterized by chaotic attractors and rich multistability phenomena, that we investigate along the paper.

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  • Naimzada, Ahmad & Pireddu, Marina, 2020. "Rational expectations (may) lead to complex dynamics in a Muthian cobweb model with heterogeneous agents," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 415-432.
    • Handle: RePEc:eee:jeborg:v:177:y:2020:i:c:p:415-432
    DOI: 10.1016/j.jebo.2020.06.024
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    1. Lichtenberg, A. J. & Ujihara, A., 1989. "Application of nonlinear mapping theory to commodity price fluctuatuions," Journal of Economic Dynamics and Control, Elsevier, vol. 13(2), pages 225-246, April.
    2. 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.
    3. Goeree, Jacob K. & Hommes, Cars H., 2000. "Heterogeneous beliefs and the non-linear cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 761-798, June.
    4. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
    5. Hommes, Cars & Wagener, Florian, 2010. "Does eductive stability imply evolutionary stability?," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 25-39, July.
    6. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    7. Hommes,Cars, 2015. "Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems," Cambridge Books, Cambridge University Press, number 9781107564978, January.
    8. Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
    9. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    10. Jensen, Roderick V. & Urban, Robin, 1984. "Chaotic price behavior in a non-linear cobweb model," Economics Letters, Elsevier, vol. 15(3-4), pages 235-240.
    11. Anufriev, Mikhail & Assenza, Tiziana & Hommes, Cars & Massaro, Domenico, 2013. "Interest Rate Rules And Macroeconomic Stability Under Heterogeneous Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 17(8), pages 1574-1604, December.
    12. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    13. Branch, William A. & Evans, George W., 2006. "Intrinsic heterogeneity in expectation formation," Journal of Economic Theory, Elsevier, vol. 127(1), pages 264-295, March.
    14. Branch, William A. & McGough, Bruce, 2008. "Replicator dynamics in a Cobweb model with rationally heterogeneous expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 224-244, February.
    15. Artstein, Zvi, 1983. "Irregular cobweb dynamics," Economics Letters, Elsevier, vol. 11(1-2), pages 15-17.
    16. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
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    Cited by:

    1. Berardi, Michele, 2022. "Beliefs asymmetry and price stability in a cobweb model," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 401-415.
    2. Ahmad Naimzada & Marina Pireddu, 2021. "The opposite effect of rational expectations and differentiated information costs for heterogeneous fundamentalists on the stability of an evolutive Muthian cobweb model," Working Papers 460, University of Milano-Bicocca, Department of Economics, revised Dec 2021.

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    More about this item

    Keywords

    Muthian cobweb model; Evolutionary learning; Heterogeneous agents; Rational expectations; Complex dynamics;
    All these keywords.

    JEL classification:

    • B52 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Historical; Institutional; Evolutionary; Modern Monetary Theory;
    • 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
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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