Related papers: Quantum game theory for 2 2 games: a mathematical framework

Quantum game theory for 2 2 games: a mathematical framework

URL: http://arxiv.org/abs/2605.15747v1
Date: Fri, 15 May 2026 09:05:39 GMT
Title: Quantum game theory for 2 2 games: a mathematical framework
Abstract summary: We develop a rigorous framework for quantum game theory applied to static 2x2 games.<n>We prove the existence of Nash equilibria for continuous quantum mixed strategies via a fixed-point argument.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We develop a rigorous mathematical framework for quantum game theory applied to static 2x2 games, extending classical concepts to the quantum setting where players may employ arbitrary unitary operations (pure strategies) or probability measures over the continuous group SU(2) (mixed strategies). The Eisert-Wilkens-Lewenstein protocol is introduced as the standard implementation of quantum 2x2 games. We prove the existence of Nash equilibria for continuous quantum mixed strategies via a fixed-point argument, generalising the classical Nash theorem to the quantum case.

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