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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Prisoners' Dilemma in Presence of Collective Dephasing
arXiv
Authors: Ahmad Nawaz
Year
2013
Paper ID
33582
Status
Preprint
Abstract Read
~2 min
Abstract Words
110
Citations
N/A
Abstract
We quantize prisoner dilemma in presence of collective dephasing with dephasing rate γ. It is shown that for two parameters set of strategies Qotimes Q is Nash equilibrium below a cut-off value of time. Beyond this cut-off it bifurcates into two new Nash equilibria Qotimes D and Dotimes Q. Furthermore for maximum value of decoherence \ Cotimes D and Dotimes C also become Nash equilibria. At this stage the game has four Nash equilibria. On the other hand for three parameters set of strategies there is no pure strategy Nash equilibrium however there is mixed strategy (non unique) Nash equilibrium that is not affected by collective dephasing..
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- We quantize prisoner dilemma in presence of collective dephasing with dephasing rate γ.
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