  We point out a flaw in the unfair case of the quantum Prisoner's Dilemma as
introduced in the pioneering Letter "Quantum Games and Quantum Strategies" of
Eisert, Wilkens and Lewenstein. It is not true that the so-called miracle move
therein always gives quantum Alice a large reward against classical Bob and
outperforms tit-for-tat in an iterated game. Indeed, we introduce a new
classical strategy that becomes Bob's dominant strategy, should Alice play the
miracle move. Finally, we briefly survey the subsequent literature and turn to
the 3-parameter strategic space instead of the 2-parameter one of Eisert et al.
