Entanglement and dynamic stability of Nash equilibria in a symmetric quantum game |
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| Institution: | 1. School of Mechanical Engineering, Anhui University of Technology, Anhui Ma’anshan, 243002, China;2. School of Management Science and Engineering, Anhui University of Technology, Anhui Ma’anshan, 243002, China;3. Science and Math Cluster, Singapore University of Technology and Design (SUTD), 8 Somapah Road, S487372, Singapore;4. SUTD-Massachusetts Institute of Technology International Design Center, 8 Somapah Road, S487372, Singapore;5. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Ba?tycka 5, 44-100 Gliwice, Poland;1. Department of Statistics, School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, China;2. Cocreative Scientific Computing and Data Mining Center in Yunnan, Kunming, 650221, Yunnan, China |
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| Abstract: | We study the evolutionary stability of Nash equilibria (NE) in a symmetric quantum game played by the recently proposed scheme of applying ‘identity’ and ‘Pauli spin-flip’ operators on an initial state with classical probabilities. We show that in this symmetric game dynamic stability of a NE can be changed when the game changes its form, for example, from classical to quantum. It happens even when the NE remains intact in both forms. |
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