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Financial Symmetry and Moods in the Market

Author

Listed:
  • Roberto Savona

    (Department of Economics and Management - UniBs - Università degli Studi di Brescia = University of Brescia)

  • Maxence Soumare

    (LJAD - Laboratoire Jean Alexandre Dieudonné - UNS - Université Nice Sophia Antipolis (1965 - 2019) - CNRS - Centre National de la Recherche Scientifique - UniCA - Université Côte d'Azur)

  • Jørgen Vitting Andersen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper introduces a theoretical framework for collective decision making to describe fluctuations and transitions in financial markets. Investors are assumed to be boundedly rational, using a limited set of information including past price history and expectation on future dividends. Investment strategies are dynamically changed based on realized returns within a game theoretical scheme with Nash equilibria. In such a setting, markets behave as complex systems whose payoff reflect an intrinsic financial symmetry that guarantees equilibrium in price dynamics (fundamentalist state) until the symmetry is broken leading to bubble or anti-bubble scenarios (speculative state). We model such two-phase transition in a micro-to-macro scheme through a Ginzburg-Landau-based power expansion leading to a market temperature parameter which modulates the state transitions in the market. Via simulation we prove that complex market dynamics can be phenomenologically explained by the number of traders, the strategies used by agents and the past price history, all included in our market temperature parameter.

Suggested Citation

  • Roberto Savona & Maxence Soumare & Jørgen Vitting Andersen, 2014. "Financial Symmetry and Moods in the Market," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00983008, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00983008
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00983008
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    References listed on IDEAS

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    Cited by:

    1. Yi-Fang Liu & Jørgen Vitting Andersen & Philippe de Peretti, 2016. "Onset of financial instability studied via agent-based models," Post-Print hal-01397400, HAL.

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