  Using the representation introduced in our another paper\cite{frame}, the
well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed
and calculated. By this example and the works in \cite{frame} on classical
games and Quantum Penny Flip game, which first proposed in \cite{meyer}, we
show that our new representation can be a general framework for games
originally in different forms.
