Econophysics: from Game Theory and Information Theory to Quantum Mechanics

Quantum credit loans

“…In turn, a path integral formulation of credit loans could be constructed with an appropriate Lagrangian, where the probability amplitude for a particular path in the debt space (two possible different paths can be with constant amortization and the other with constant periodic installment) can be calculated with an action S = L(t)dt. Interfering paths can be constructed with e iS as it is used in the Feynman path integral formulation in quantum mechanics or other quantum model of the stock market ( [43] and [44]). Finally, an interesting fact about rewriting the credit loan in a vector space is that we have the freedom to choose any linear combination of the states of the loan.…”

Duality of knowledge, singularity of method

“…Artemi (2009) provides some analyses concerning the connection between econophysics and politics by providing a parallel between the statistical approach used in econophysics and democracy. Some econophysical models applied to game theory ( Jimenez, 2004) try to parameterize this "free will" through the notion of entropy. This parameter is a measure of dispersion, disorder and uncertainty in the dynamic process (Dionisio et al, 2005).…”

History and Role of Econophysics in Scientific Research

“…The aim of econophysics is to describe and realize models of the universal behaviors of a market, as an open system, where new external information is mixed with new investments, rather like energy/particle inputs in quantum physics (Jimenez and Moya, 2005). There are some different types of econophysics, too: an experimental or observational type, trying to analyze real data from real markets and to make sense of them, and a theoretical type trying to find microscopic models which give for some quantities good agreement with the experimental facts (Bertrand Roehner, a theoretical physicist based at the University of Paris).…”