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A quantum statistical approach to simplified stock markets

We use standard perturbation techniques originally formulated in quantum (statistical) mechanics in the analysis of a toy model of a stock market which is given in terms of bosonic operators. In particular we discuss the probability of transition from a given value of the {\em portfolio} of a certain trader to a different one. This computation can also be carried out using some kind of {\em Feynman graphs} adapted to the present context.

preprint2009arXivOpen access
Fabio Bagarello
q-fin.GN
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Fabio Bagarello

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