With respect to probabilistic mixtures of the strategies in non-cooperative games, quantum game theory provides guarantee of fixed-point stability, the so-called Nash equilibrium. This permits players to choose mixed quantum strategies that prepare mixed quantum states optimally under constraints. We show here that fixed-point stability of Nash equilibrium can also be guaranteed for pure quantum strategies via an application of the Nash embedding theorem, permitting players to prepare pure quantum states optimally under constraints.
CITATION STYLE
Khan, F. S., & Humble, T. S. (2019). Nash Embedding and Equilibrium in Pure Quantum States. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11413 LNCS, pp. 51–62). Springer Verlag. https://doi.org/10.1007/978-3-030-14082-3_5
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