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Modelling and Measuring the Irrational behaviour of Agents in Financial Markets: Discovering the Psychological Soliton

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  • Gurjeet Dhesi
  • Marcel Ausloos

Abstract

Following a Geometrical Brownian Motion extension into an Irrational Fractional Brownian Motion model, we re-examine agent behaviour reacting to time dependent news on the log-returns thereby modifying a financial market evolution. We specifically discuss the role of financial news or economic information positive or negative feedback of such irrational (or contrarian) agents upon the price evolution. We observe a kink-like effect reminiscent of soliton behaviour, suggesting how analysts' forecasts errors induce stock prices to adjust accordingly, thereby proposing a measure of the irrational force in a market.

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  • Gurjeet Dhesi & Marcel Ausloos, 2016. "Modelling and Measuring the Irrational behaviour of Agents in Financial Markets: Discovering the Psychological Soliton," Papers 1601.01553, arXiv.org.
    • Handle: RePEc:arx:papers:1601.01553
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    References listed on IDEAS

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    Cited by:

    1. Andrew Spurr & Marcel Ausloos, 2021. "Challenging practical features of Bitcoin by the main altcoins," Quality & Quantity: International Journal of Methodology, Springer, vol. 55(5), pages 1541-1559, October.
    2. Gurjeet Dhesi & Bilal Shakeel & Marcel Ausloos, 2021. "Modelling and forecasting the kurtosis and returns distributions of financial markets: irrational fractional Brownian motion model approach," Annals of Operations Research, Springer, vol. 299(1), pages 1397-1410, April.
    3. Gontis, V. & Havlin, S. & Kononovicius, A. & Podobnik, B. & Stanley, H.E., 2016. "Stochastic model of financial markets reproducing scaling and memory in volatility return intervals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1091-1102.
    4. Ausloos, Marcel, 2021. "Hagiotoponyms in France: Saint popularity, like a herding phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    5. Jing Shi & Marcel Ausloos & Tingting Zhu, 2022. "If global or local investor sentiments are prone to developing an impact on stock returns, is there an industry effect?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 1309-1320, January.
    6. Claudiu Vințe & Marcel Ausloos, 2023. "Portfolio Volatility Estimation Relative to Stock Market Cross-Sectional Intrinsic Entropy," JRFM, MDPI, vol. 16(2), pages 1-24, February.
    7. Galam, Serge, 2016. "The invisible hand and the rational agent are behind bubbles and crashes," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 209-217.
    8. Argentiero, Amedeo & Bovi, Maurizio & Cerqueti, Roy, 2016. "Bayesian estimation and entropy for economic dynamic stochastic models: An exploration of overconsumption," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 143-157.
    9. Amit K. Sinha, 2021. "The reliability of geometric Brownian motion forecasts of S&P500 index values," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 40(8), pages 1444-1462, December.
    10. Eduard Gabriel Ceptureanu & Sebastian Ion Ceptureanu & Doina I. Popescu & Liviu Bogdan Vlad, 2017. "Two Stage Analysis of Successful Change Implementation of Knowledge Management Strategies in Energy Companies from Romania," Energies, MDPI, vol. 10(12), pages 1-17, November.
    11. Cerqueti, Roy & Giacalone, Massimiliano & Panarello, Demetrio, 2019. "A Generalized Error Distribution Copula-based method for portfolios risk assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 687-695.
    12. Vygintas Gontis & Shlomo Havlin & Aleksejus Kononovicius & Boris Podobnik & H. Eugene Stanley, 2015. "Stochastic model of financial markets reproducing scaling and memory in volatility return intervals," Papers 1507.05203, arXiv.org, revised Oct 2016.
    13. Jiaquan Chen & Marcel Ausloos, 2023. "A Study about Who Is Interested in Stock Splitting and Why: Considering Companies, Shareholders, or Managers," JRFM, MDPI, vol. 16(2), pages 1-25, January.
    14. Duarte Queirós, Sílvio M. & Anteneodo, Celia, 2016. "Complexity in quantitative finance and economics," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 1-2.

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