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Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner's dilemma game |
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| Authors: | Azhar Iqbal Derek Abbott |
| Institution: | a School of Electrical & Electronic Engineering, The University of Adelaide, SA 5005, Australia b Centre for Advanced Mathematics and Physics, National University of Sciences & Technology, Campus of College of Electrical & Mechanical Engineering, Peshawar Road, Rawalpindi, Pakistan |
| Abstract: | The well-known refinement of the Nash Equilibrium (NE) called an Evolutionarily Stable Strategy (ESS) is investigated in the quantum Prisoner's Dilemma (PD) game that is played using an Einstein-Podolsky-Rosen type setting. Earlier results report that in this scheme the classical NE remains intact as the unique solution of the quantum PD game. In contrast, we show here that interestingly in this scheme a non-classical solution for the ESS emerges for the quantum PD. |
| Keywords: | Quantum games Prisoner's dilemma Nash equilibrium EPR-Bohm experiments Joint probability Quantum probability |
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