Quantum Bohmian model for financial market

Choustova, Olga

doi:10.1016/j.physa.2006.07.029

Cited by 61 publications

(82 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [5] several useful rules have been proposed to fix the expression of H. We need now to incorporate in H the effect described by the pilot wave function, extending, for instance, what is discussed in [17]. See also [6].…”

Section: Some Preliminariesmentioning

confidence: 99%

See 1 more Smart Citation

The role of information in a two-traders market

Багарелло

Haven

2014

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

In a very simple stock market, made by only two initially equivalent traders, we discuss how the information can affect the performance of the traders. More in detail, we first consider how the portfolios of the traders evolve in time when the market is closed. After that, we discuss two models in which an interaction with the outer world is allowed. We show that, in this case, the two traders behave differently, depending on i) the amount of information which they receive from outside; and ii) the quality of this information.

show abstract

Section: Some Preliminariesmentioning

confidence: 99%

“…Hence, the time evolution of π j (t) is governed by hard factors (f j ) as well as by the financial mental force g j , [6,17].…”

Section: Some Preliminariesmentioning

confidence: 99%

The role of information in a two-traders market

Багарелло

Haven

2014

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

“…It is amazing that even an ontological model of quantum phenomena, Bohmian mechanics, naturally generates the purely information interpretation of its basic entity, the quantum potential. The active information interpretation opened the door for applications of the formalism of Bohmian mechanics outside physics, in particular in mathematical modeling of quantum-like cognition [56][57][58][59]; later, this formalism was explored in behavioral finances [60,61]. However, in this paper, we shall not use the Bohmian approach to quantum mechanics.…”

Section: Information Fields and Atomsmentioning

confidence: 99%

Towards Information Lasers

Khrennikov

2015

Entropy

View full text Add to dashboard Cite

Recently, the methods of quantum theory (QT), especially quantum information and probability, started to be widely applied outside of physics: in cognitive, social and political sciences, psychology, economics, finances, decision making, molecular biology and genetics. Such models can be called quantum-like, in contrast to real quantum physical cognitive and biological models. Quantum-like means that only the information and probability structures of QT are explored. This approach matches the information interpretation of QT well (e.g., Zeilinger and Brukner, Fuchs and Mermin, D'Ariano), as well as the informational viewpoint on physics in general (e.g., Wheeler's "it from bit" paradigm). In this paper, we propose a quantum-like model of an information laser by precessing the assumptions on the structure of state spaces of information processors, "information atoms" (i-atoms) and information fields. The basic assumption is the discrete structure of state spaces related to quantization of an information analog of energy. To analyze a possible structure of the state space of i-atoms leading to the possibility to create information lasers, we have to develop a purely information version of quantum thermodynamics. We did this by placing the main attention on the derivation of the conditions for the equilibrium of information exchange between i-atoms and a quantized information field.

show abstract

“…The study of financial market has drawn physicists attention recently [1][2][3]. In [3], Dragulescu and Yakovenko have investigated the Heston model, where the stock price dynamics is governed by a geometrical Brownian motion with stochastic variance.…”

Section: Introductionmentioning

confidence: 99%