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...

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.

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...

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...

We discuss the time evolution of quotations of stocks and commodities and show that corrections to the orthodox Bachelier model inspired by quantum mechanical time evolution of particles may be important. Our analysis shows that traders tactics can interfere as waves do and trader's strategies...

A simple but nontrivial class of the quantum strategies in buying–selling games is presented. The player moves are a rational buying and an unconditional selling. The possibility of gaining extremal profits in such the games is considered. The entangled merchants hypothesis is proposed.