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Critical fluctuations of demand and supply

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  • Takayasu, H.
  • Takayasu, M.

Abstract

In order to describe price changes in open markets we introduce a virtual balanced price which is determined by the distribution of dealers’ expectation at a time. The dealers do not know directly the virtual balanced price but they can only guess it from the time series of market prices. By this assumption we derive a set of stochastic time evolution equations composed of the market price and the virtual balanced price as an extension of Langevin type equations.

Suggested Citation

  • Takayasu, H. & Takayasu, M., 1999. "Critical fluctuations of demand and supply," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 24-29.
    • Handle: RePEc:eee:phsmap:v:269:y:1999:i:1:p:24-29
    DOI: 10.1016/S0378-4371(99)00076-X
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    Citations

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    Cited by:

    1. Franci, Fabio & Marschinski, Robert & Matassini, Lorenzo, 2001. "Learning the optimal trading strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(1), pages 213-225.
    2. Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos, 2001. "Modeling stock market dynamics based on conservation principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 493-511.
    3. Aki-Hiro Sato & Hideki Takayasu, 2001. "Market price simulator based on analog electrical circuit," Papers cond-mat/0104318, arXiv.org.
    4. Mizuno, Takayuki & Kurihara, Shoko & Takayasu, Misako & Takayasu, Hideki, 2003. "Analysis of high-resolution foreign exchange data of USD-JPY for 13 years," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 296-302.
    5. Matassini, Lorenzo & Franci, Fabio, 2001. "On financial markets trading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 526-542.

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