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Dynamic Effects of Increasing Heterogeneity in Financial Markets

Author

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  • Ahmad Naimzada

    (Department of Economics, University of Milan-Bicocca)

  • Giorgio Ricchiuti

Abstract

Developing a model in which heterogeneity arises among two groups of fundamentalists that follow gurus, we focus on the dynamic effects of increasing heterogeneity. We show that an increasing degree of heterogeneity leads firstly (i) to insurgence of a pitchfork bifurcation and, secondly (ii) generates, together with a larger reaction to misalignment of both market makers and agents, the appearance of a periodic, or even, chaotic, price fluctuation (trough an homoclinic bifurcation, [1]).

Suggested Citation

  • Ahmad Naimzada & Giorgio Ricchiuti, 2007. "Dynamic Effects of Increasing Heterogeneity in Financial Markets," Working Papers 111, University of Milano-Bicocca, Department of Economics, revised 2007.
    • Handle: RePEc:mib:wpaper:111
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    References listed on IDEAS

    as
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    16. 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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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental, pessimistic and overconfident traders: a piecewise-linear maps approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 707-726, December.
    2. Michele Gori & Giorgio Ricchiuti, 2018. "A dynamic exchange rate model with heterogeneous agents," Journal of Evolutionary Economics, Springer, vol. 28(2), pages 399-415, April.
    3. F. Cavalli & A. Naimzada & M. Pireddu, 2017. "An evolutive financial market model with animal spirits: imitation and endogenous beliefs," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1007-1040, November.
    4. Ahmad K. Naimzada & Giorgio Ricchiuti, 2014. "Complexity with Heterogeneous Fundamentalists and a Multiplicative Price Mechanism," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 43(3), pages 233-247, November.
    5. Naimzada, Ahmad & Pireddu, Marina, 2015. "Real and financial interacting markets: A behavioral macro-model," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 111-131.
    6. Carraro, Alessandro & Ricchiuti, Giorgio, 2015. "Heterogeneous fundamentalists and market maker inventories," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 73-82.
    7. Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
    8. Kaltwasser, Pablo Rovira, 2010. "Uncertainty about fundamentals and herding behavior in the FOREX market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1215-1222.
    9. Brianzoni, Serena & Campisi, Giovanni, 2020. "Dynamical analysis of a financial market with fundamentalists, chartists, and imitators," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    10. Giovanni Campisi & Silvia Muzzioli, 2020. "Fundamentalists heterogeneity and the role of the sentiment indicator," Department of Economics 0167, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    11. Ahmad Naimzada & Marina Pireddu, 2014. "Real and financial interacting oscillators: a behavioral macro-model with animal spirits," Working Papers 268, University of Milano-Bicocca, Department of Economics, revised Feb 2014.
    12. Cavalli, Fausto & Naimzada, Ahmad & Pecora, Nicolò & Pireddu, Marina, 2018. "Market sentiment and heterogeneous fundamentalists in an evolutive financial market mode," MPRA Paper 90289, University Library of Munich, Germany.

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    More about this item

    Keywords

    mathematical economics; chaos; heterogeneous interacting agents; financial markets;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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