In this paper we propose an option pricing model based on the Ornstein–Uhlenbeck process. It is a fresh look at the option pricing which is grounded on the quantum game theory and it is more subtle. We show the differences between a classical look which is price changing by a Wiener process...

This paper presents a continuous variable generalization of the Aoki–Yoshikawa sectoral productivity model. Information theoretical methods from the Frieden–Soffer extreme physical information statistical estimation methodology were used to construct exact solutions. Both approaches coincide...

There is a common belief that humans and many animals follow transitive inference (choosing A over C on the basis of knowing that A is better than B and B is better than C). Transitivity seems to be the essence of rational choice. We present a theoretical model of a repeated game in which the...

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper is devoted to the analysis of interference of quantum strategies in quantum market games.

In this paper, we propose a method for a quantitative estimation of the decision maker’s knowledge in the context of the Analytic Hierarchy Process (AHP) in cases where the judgment matrix is inconsistent. We show that the matrix of deviation from the transitivity condition corresponds to the...

Most parameters used to describe states and dynamics of financial market depend on proportions of the appropriate variables rather than on their actual values. Therefore, projective geometry seems to be the correct language to describe the theater of financial activities. We suppose that the...

Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its advantages and drawbacks. Then we describe the models that...

We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The present paper is devoted to quantum English auction which we consider as a special class of quantum market games. The...

Two of the present authors have put forward a projective geometry based model of rational trading that implies a model for subjective demand/supply profiles if one considers closing of a position as a random process. We would like to present the analysis of a subjectivity in such trading models....

Two of the authors have recently discussed financial markets operated by quantum computers—quantum market games. These “new markets” cannot by themselves create opportunity of making extraordinary profits or multiplying goods, but they may cause the dynamism of transaction which would...