Presentation 2000/1/12
Dynamical numerical model of stock market price : from microscopic determinism to macroscopic randomness
Aki-Hiro Sato, Hideki Takayasu,
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Abstract(in English) It has pointed that a probability density function for price changes of exchanges or stocks follows a function with long tails such as Levy distribution. However the reason why there are rapid fluctuations of price changes in the market have not been clarified yet. In this article we introduce a simple multi-agent model based on threshold dynamics. We show that fluctuations of the multi-agent model can be approximated by a stochastic process with both multiplicative and additive noise and numerically demonstrate the fluctuations of price changes in the multi-agent model by using the stochastic process. We propose an electric circuit which can generate fluctuations statistically equivalent to the price changes.
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Keyword(in English) stock market price change / Levy distribution / multi-agent / stochastic process / electric circuit
Paper # AI99-72
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Committee AI
Conference Date 2000/1/12(1days)
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Registration To Artificial Intelligence and Knowledge-Based Processing (AI)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dynamical numerical model of stock market price : from microscopic determinism to macroscopic randomness
Sub Title (in English)
Keyword(1) stock market price change
Keyword(2) Levy distribution
Keyword(3) multi-agent
Keyword(4) stochastic process
Keyword(5) electric circuit
1st Author's Name Aki-Hiro Sato
1st Author's Affiliation Graduate School of Information Science, Tohoku Univ.()
2nd Author's Name Hideki Takayasu
2nd Author's Affiliation Sony Computer Science Laboratory
Date 2000/1/12
Paper # AI99-72
Volume (vol) vol.99
Number (no) 533
Page pp.pp.-
#Pages 8
Date of Issue