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The Dynamics of the Linear Random Farmer Model

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  • Rui Carvalho

Abstract

On the framework of the Linear Farmer's Model, we approach the indeterminacy of agents' behaviour by associating with each agent an unconditional probability for her to be active at each time step. We show that Pareto tailed returns can appear even if value investors are the only strategies on the market and give a procedure for the determination of the tail exponent. Numerical results indicate that the returns' distribution is heavy tailed and volatility is clustered if trading occurs at the zero Lyapunov (critical) point.

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  • Rui Carvalho, 2001. "The Dynamics of the Linear Random Farmer Model," Papers cond-mat/0107150, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0107150
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    Cited by:

    1. Reiner Franke & Toichiro Asada, 2008. "Incorporating positions into asset pricing models with order-based strategies," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(2), pages 201-227, December.
    2. Klein, Achim & Urbig, Diemo, 2008. "Who Drives the Market? Estimating a Heterogeneous Agent-based Financial Market Model Using a Neural Network Approach," MPRA Paper 116175, University Library of Munich, Germany, revised 30 Apr 2011.
    3. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.
    4. Sabiou Inoua, 2023. "News-driven Expectations and Volatility Clustering," Papers 2309.04876, arXiv.org.
    5. Franke, Reiner, 2009. "A prototype model of speculative dynamics with position-based trading," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1134-1158, May.
    6. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.

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