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A heterogeneous agent model of asset price dynamics with two time delays

Author

Listed:
  • Luca Guerrini

    (Polytechnic University of Marche)

  • Akio Matsumoto

    (Chuo University)

  • Ferenc Szidarovszky

    (Corvinus University)

Abstract

This study constructs a heterogeneous agents model of a financial market in a continuous-time framework. There are two types of agents, fundamentalists and chartists. The former follows the traditional efficiency market theory and has a linear demand function, whereas the latter experiences delays in the formation of price trends and possesses a S-shaped demand function. The main feature of this study is a theoretical investigation on the effects caused by two time delays in a price adjustment process. In particular, two main results are demonstrated: One is that the stability switching curves are analytically derived, and the other is that the stability losses and gains can repeatedly occur when the shape of the curves are meandering. Although it is well known that a time delay has a destabilizing effect, these results imply that multiple delays can stabilize and destabilize a market price generating persistent deviations from the stationary price.

Suggested Citation

  • Luca Guerrini & Akio Matsumoto & Ferenc Szidarovszky, 2018. "A heterogeneous agent model of asset price dynamics with two time delays," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 379-397, November.
    • Handle: RePEc:spr:decfin:v:41:y:2018:i:2:d:10.1007_s10203-018-0223-2
    DOI: 10.1007/s10203-018-0223-2
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    1. Mikhail Anufriev & Davide Radi & Fabio Tramontana, 2018. "Some reflections on past and future of nonlinear dynamics in economics and finance," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 91-118, November.

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    More about this item

    Keywords

    asset price; henerogeneous agent model; two time delays; bifurcation; dynamic model;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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