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Stability of Mixed Nash Equilibria in Symmetric Quantum Games
Authors:A Iqbal AH Toor
Institution:Department of Electronics, Quaid-i-Azam University, Islamabad 45320, Pakistan Department of Electronics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Abstract:In bimatrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permitpure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initialquantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixedsymmetric Nash equilibrium.
Keywords:quantum games  evolutionarily stable strategies  mixed strategies
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