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Heterogeneous Fundamentalists and Imitative Processes

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  • Ahmad Naimzada

    (Department of Economics, University of Milan-Bicocca)

  • Giorgio Ricchiuti

    (Department of Economics, University of Florence)

Abstract

Developing a model with a switching mechanism, we show how complex dynamics can be generated even though heterogeneity arises among agents with the same trading rules (fundamentalists). We assume that there are two experts which are imitated by other operators. We show that (i) market instability and periodic, or even, chaotic price fluctuations can be generated; (ii) conditions exist under which an expert can drive another expert out of the market; (iii) two experts can survive when the dynamic system either generates a period doubling bifurcation around an attractor or when an homoclinic bifurcation leads to the merging of the two attractors (i.e. Dieci et al., 2001); (iv) a central role is played by the reaction to misalignment of both market makers and agents.

Suggested Citation

  • Ahmad Naimzada & Giorgio Ricchiuti, 2006. "Heterogeneous Fundamentalists and Imitative Processes," Working Papers 104, University of Milano-Bicocca, Department of Economics, revised Nov 2006.
    • Handle: RePEc:mib:wpaper:104
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    References listed on IDEAS

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    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. Luca Gori & Luca Guerrini & Mauro Sodini, 2014. "Heterogeneous Fundamentalists in a Continuous Time Model with Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-6, August.
    3. Naimzada, Ahmad K. & Ricchiuti, Giorgio, 2009. "Dynamic effects of increasing heterogeneity in financial markets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1764-1772.
    4. 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.
    5. Antoci, Angelo & Naimzada, Ahmad & Sodini, Mauro, 2009. "Strategic interactions and heterogeneity in a overlapping generations model with negative environmental externalities," MPRA Paper 18221, University Library of Munich, Germany.
    6. 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.
    7. Giovanni Campisi & Silvia Muzzioli, 2020. "Investor sentiment and trading behavior," Department of Economics 0163, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    8. 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.
    9. Naimzada, Ahmad & Pireddu, Marina, 2015. "Real and financial interacting markets: A behavioral macro-model," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 111-131.
    10. Carraro, Alessandro & Ricchiuti, Giorgio, 2015. "Heterogeneous fundamentalists and market maker inventories," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 73-82.
    11. Naimzada, Ahmad & Pireddu, Marina, 2020. "Eductive stability may not imply evolutionary stability in the presence of information costs," Economics Letters, Elsevier, vol. 186(C).
    12. 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.
    13. 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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