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The Prisoners' Dilemma is perhaps the most famous model in the field of gametheory. Consequently, it is natural to investigate its quantum version when oneconsiders to apply quantum strategies to game theory. There are two mainresults in this paper: 1) The well-known Prisoners' Dilemma can be categorizedinto three types and only the third type is adaptable for quantum strategies.2) As a reverse problem of game theory, mechanism design provides a bettercircumstance for quantum strategies than game theory does.

On the justification of applying quantum strategies to the Prisoners' Dilemma and mechanism design