This is a study of the Symmetric n-Person Prisoner's Dilemma and the conditions required for a game to fit the basic model. We begin by building the 2- and 3-person conditions and then generalize for the n-Person Prisoner's Dilemma. This research was developed from the basic definition of the Prisoner's Dilemma and creates a stronger definition of the Symmetric n-Person Prisoner's Dilemma, including a set of necessary and sufficient inequalities.
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