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Abstract: We study the three-player Prisoner-s Dilemma game under the effect ofdecoherence and correlated noise. It is seen that the quantum player is alwaysbetter off over the classical players. It is also seen that the game-s Nashequilibrium does not change in the presence of correlated noise incontradiction to the effect of decoherence in multiplayer case. Furthermore, itis shown that for maximum correlation the game does not behave as a noiselessgame and the quantum player is still better off for all values of thedecoherence parameter p which is not possible in the two-player case. Inaddition, the payoffs reduction due to decoherence is controlled by thecorrelated noise throughout the course of the game.



Author: M. Ramzan, M. K. Khan

Source: https://arxiv.org/







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