Bayesian Nash equilibria using extended Werner-like states

We study quantum strategies in games of incomplete information using a formalism of game theory based on multi-sector probability matrix. We analyze an extension of the well-known game of Battle of Sexes using an extended Werner-like state focusing in how its mixedness and entanglement affect the Ba...

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Bibliographic Details
Published in:Quantum information processing 2016-10, Vol.15 (10), p.4337-4346
Main Authors: Alid-Vaccarezza, M., Soto, M. E.
Format: Article
Language:English
Subjects:
Bayesian analysis
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:We study quantum strategies in games of incomplete information using a formalism of game theory based on multi-sector probability matrix. We analyze an extension of the well-known game of Battle of Sexes using an extended Werner-like state focusing in how its mixedness and entanglement affect the Bayesian Nash payoffs of the player. It is shown that entanglement is needed to outperform classical payoffs but not all entangled states are useful due to the presence of mixedness. A threshold for the mixedness parameter and the minimum entanglement value were found.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-016-1387-8