This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is also discussed. The review is addressed to non-specialists.

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.

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 are a special class of quantum market games. The approach...

We argue that the recently published by Przystawa and Wolf model of the Bagsik financial oscillator is oversimplified and unrealistic. We propose and analyze a refined explanation of this rare financial phenomenon. We have found an example that results in profitability about 45000 times bigger...

We propose a new method of valuation of portfolios and their respective investing strategies. To this end we define a canonical ensemble of portfolios that allows to use the formalism of thermodynamics. (final version published in Acta Phys.Pol.B,32(2001)597-604)

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. In this context, a new application of the Ising chain model is...

We discuss the time evolution of quotation of stocks and commodities and show that quantum-like correction to the orthodox Bachelier model may be important. Our analysis shows that traders act as a sort of (quantum) tomograph and their strategies can be reproduced from the corresponding Wigner...

We discuss the time evolution of quotation of stocks and commodities and show that they form an Ising chain. We show that transaction costs induce arbitrage risk that usually is neglected. The full analysis of the portfolio theory is computationally complex but the latest development in quantum...