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Figure 1.

The EPR setup for an -player quantum game.

In this setup, each player has a choice of two measurement directions and for their qubit, allocated from a shared -qubit quantum state.

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Figure 2.

Phase structure for -player Prisoner dilemma.

For we identify the classical regime, where all players defect, and as entanglement increases we find an increasing number of players cooperating, up to near maximum entanglement. The left and right hand edges of the boundaries each form an inverted parabola in given by Eq. (51).

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