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A Note on Special Nash Equilibria of Quantum Games
Independent Researcher, Osaka, Japan
- 1 Independent Researcher, Osaka, Japan
Journal of Quantum Information Science·Volume 15 (2025)·Pages 113–120·Published 15 September 2025·DOI10.4236/jqis.2025.153007
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Abstract
This note revisits Sakagami in [1] and studies whether quantum 2 × 2 games with full SU (2) strategy space admit Nash equilibria whose payoff curves do not intersect the classical (no entanglement) payoffs. By allowing duplicate payoffs in each player’s table, we construct an example that yields such “special” equilibria for any entanglement and describe a further equilibrium when there is no entanglement. We also relate the example to strong isomorphism results by Frackiewicz in [2] .
KeywordsSpecial Nash EquilibriumDegree of EntanglementSU (2)Strong Isomorphism
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