Stochastic Model of Thin Market with Divisible Commodity
We suggest a model of (a thin) market at which the number of participants is random with Poisson distribution. We provide a formula for joint distribution of the market price and the traded volume. We derive an asymptotic distribution of the quantities. We find that, according to our model, with increasing intensity of the participants' number, the fluctuations of the market price vanish while the variance of the traded volume increases.
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