2 research outputs found
Nash embedding and equilibrium in pure quantum states
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. In
this letter, we show 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.Comment: 7 pages, 1 figure. arXiv admin note: text overlap with
arXiv:1609.0836