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We show that quantum game theory offers an interesting solution to the famous Newcomb's paradox (free-will problem). Divine foreknowledge is not necessary for a successful completion of the game because quantum theory offers a way to discern human intentions in such a way that the human retain her/his free-will but cannot profit from changing decision. Possible interpretation in terms of quantum market games is proposed.

Recent developments in quantum computation and quantum information theory allow one to extend the scope of game theory for the quantum world. The authors have recently proposed a quantum description of financial market in terms of quantum game theory. This paper contains an analysis of such markets that shows that there are advantages to be gained from using quantum computers and quantum strategies.