2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92047Using 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.An application and development of quant-ph/0404159. QPD game here is not the exact same form with the one from Jens. New update will depends on further communication, comments welcomeQuantum Physicstext