Quantum games

In these lecture notes we investigate the implications of the identificatio n of strategies with quantum operations in game theory beyond the results p resented Eisert et al. (1999, Phys. Rev. Lett., 83, 3077). After introducin g a general framework, we study quantum games with a classical analogue in order to flesh out the peculiarities of game theoretical settings in the qu antum domain. Special emphasis is given to a detailed investigation of diff erent sets of quantum strategies.