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Dynamical analysis of a financial market with fundamentalists, chartists, and imitators

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  • Brianzoni, Serena
  • Campisi, Giovanni

Abstract

The aim of the paper is to understand the price dynamics generated by the interaction of traders relying on heterogeneous expectations in an asset pricing model. In the present work we propose a financial market populated by three types of agents – fundamentalists, chartists and imitators. The latter submit buying/selling orders according to different trading rules using a 2D Piecewise Linear (PWL) discontinuous map. Our contribution to the existing financial literature is twofold. First, we perform an analytical study of the model involving a 2D PWL discontinuous map, where mainly numerical results are provided by researchers, besides few exceptions. In particular, we investigate the bifurcations showed by the model and the large variety of dynamical behavior produced. Finally, we provide numerical simulations in order to highlight the interaction between traders with heterogeneous expectations that can lead to intricate bull and bear price dynamics.

Suggested Citation

  • Brianzoni, Serena & Campisi, Giovanni, 2020. "Dynamical analysis of a financial market with fundamentalists, chartists, and imitators," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303807
    DOI: 10.1016/j.chaos.2019.109434
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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. Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental and pessimistic traders: a piecewise-linear maps approach," Department of Economics 0186, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    3. 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".

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