6533b830fe1ef96bd1297d10

RESEARCH PRODUCT

A quantum statistical approach to simplified stock markets

Fabio Bagarello

subject

Statistics and ProbabilityToy modelComputationCondensed Matter Physicsstock marketFOS: Economics and businesssymbols.namesakeQuantum probabilitysymbolsFeynman diagramPortfolioApplied mathematicsnumber operatorsStock marketQuantitative Finance - General FinanceGeneral Finance (q-fin.GN)QuantumMathematical economicsSettore MAT/07 - Fisica MatematicaStock (geology)Mathematics

description

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.

http://arxiv.org/pdf/0907.2531