SIMULATIONS OF FINANCIAL MARKETS IN A POTTS-LIKE MODEL

Tetsuya Takaishi
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Tetsuya Takaishi: CERN, Physics Department, TH Unit, CH-1211 Genève 23, Switzerland;

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 08, 1311-1317

Abstract: A three-state model based on the Potts model is proposed to simulate financial markets. The three states are assigned to "buy", "sell" and "inactive" states. The model shows the main stylized facts observed in the financial market: fat-tailed distributions of returns and long time correlations in the absolute returns. At low inactivity rate, the model effectively reduces to the two-state model of Bornholdt and shows similar results to the Bornholdt model. As the inactivity increases, we observe the exponential distributions of returns.

Keywords: Econophysics; financial market; Potts model; fat-tailed distribution (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (8)

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DOI: 10.1142/S0129183105007923

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