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Eductive stability may not imply evolutionary stability in the presence of information costs

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  • Naimzada, Ahmad
  • Pireddu, Marina

Abstract

Founded on a Muthian cobweb model, this study extends the evolutionary setting in Hommes and Wagener (2010), by assuming that agents face heterogeneous information costs. We prove that the equilibrium, when globally eductively stable, may be unstable under evolutionary learning.

Suggested Citation

  • Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
  • Handle: RePEc:eee:ecolet:v:186:y:2020:i:c:s0165176519302381
    DOI: 10.1016/j.econlet.2019.06.019
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    References listed on IDEAS

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    1. Chiarella, Carl & He, Xue-Zhong & Hommes, Cars, 2006. "A dynamic analysis of moving average rules," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1729-1753.
    2. Hommes, Cars & Wagener, Florian, 2010. "Does eductive stability imply evolutionary stability?," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 25-39, July.
    3. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March.
    4. Hommes,Cars, 2015. "Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems," Cambridge Books, Cambridge University Press, number 9781107564978.
    5. Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
    6. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    7. Mordecai Ezekiel, 1938. "The Cobweb Theorem," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 52(2), pages 255-280.
    8. 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.
    9. 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.
    10. Naimzada, Ahmad K. & Ricchiuti, Giorgio, 2009. "Dynamic effects of increasing heterogeneity in financial markets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1764-1772.
    11. De Grauwe, Paul & Rovira Kaltwasser, Pablo, 2012. "Animal spirits in the foreign exchange market," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1176-1192.
    12. Ahmad Naimzada & Giorgio Ricchiuti, 2006. "Heterogeneous Fundamentalists and Imitative Processes," Working Papers 104, University of Milano-Bicocca, Department of Economics, revised Nov 2006.
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    Cited by:

    1. Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
    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.
    3. 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.

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    More about this item

    Keywords

    Muthian cobweb model; Heterogeneous agents; Evolutionary learning; Eductive stability; Information costs; Double stability threshold;
    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
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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