@inproceedings{f968f00121864639a0eb7eb678154b71,
title = "Nash Embedding and Equilibrium in Pure Quantum States",
abstract = "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.",
keywords = "Fixed-point stability, Nash embedding, Nash equilibrium",
author = "Khan, {Faisal Shah} and Humble, {Travis S.}",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.; 1st International Workshop on Quantum Technology and Optimization Problems, QTOP 2019 was held in conjunction with the International Conference on Networked Systems, NetSys 2019 ; Conference date: 18-03-2019 Through 18-03-2019",
year = "2019",
doi = "10.1007/978-3-030-14082-3_5",
language = "English",
isbn = "9783030140816",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "51--62",
editor = "Sebastian Feld and Claudia Linnhoff-Popien",
booktitle = "Quantum Technology and Optimization Problems - 1st International Workshop, QTOP 2019, Proceedings",
}