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We quantize PD by generalized quantization scheme to analyze its strategic behavior in quantum domain. The game starts with general entangled state of the form $\\left}\\psi\\right\\rangle =\\cos\\frac{\\xi}% {2}\\left|00\\right\\rangle +i\\sin\\frac{\\xi}{2}\\left|11\\right\\rangle $ and the measurement for payoffs is performed in entangled and product bases. 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