(born 1955 in Rybnik, Poland) an independent researcher, was the head of the Applied Mathematics Group at the University of Białystok, Poland. He is notable for the analysis of quantum strategies, showing connections between the Kelly criterion, thermodynamics, and special theory of relativity. In the area of econophysics, he discovered extremal properties of fixed point profits of elementary merchant tactics. He has published in the areas of statistical physics, quantum game theory, and econophysics.