11 January 2008 Quantum minority game utilizing various forms of entanglement
Author Affiliations +
Abstract
The quantum Minority game provides a means of studying the effect of multi-partite entanglement in a game theoretic setting. We study symmetric Nash equilibria and symmetric Pareto optimal strategies arising in a four-player quantum Minority game that uses an initial state that is a superposition of a GHZ state and products of EPR pairs. We find that the payoff curve for the symmetric Pareto optimal strategy is the same as that for the maximal violation of the Mermin-Ardehali-Belinskii-Klyshko inequality for the initial state, indicating a correspondence between quantum game theory and Bell inequalities. We also show that no advantage over the classical Minority game can be obtained when the initial state has only two party entanglement.
© (2008) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Adrian P. Flitney, Lloyd C. L. Hollenberg, "Quantum minority game utilizing various forms of entanglement", Proc. SPIE 6802, Complex Systems II, 680209 (11 January 2008); doi: 10.1117/12.774090; https://doi.org/10.1117/12.774090
PROCEEDINGS
12 PAGES


SHARE
Back to Top