Stock markets and quantum dynamics: a second quantized description

Details Stock markets and quantum dynamics: a second quantized description Stock markets and quantum dynamics: a second quantized description

2009-04-21

arxiv.org/abs/0904.3210v1

Physica A, {\bf 386}, 283-302 (2007)

Economy

Quantitative Finance

Trading and Market Microstructure

Scientific paper

10.1016/j.physa.2007.08.031

In this paper we continue our descriptions of stock markets in terms of some non abelian operators which are used to describe the portfolio of the various traders and other {\em observable} quantities. After a first prototype model with only two traders, we discuss a more realistic model of market with an arbitrary number of traders. For both models we find approximated solutions for the time evolution of the portfolio of each trader. In particular, for the more realistic model, we use the {\em stochastic limit} approach and a {\em fixed point like} approximation.

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