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Contributions to Game Theory and Management, 2010, Volume 3, Pages 132–143
(Mi cgtm81)
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Quantum Nash-Equilibrium and Linear Representations of Ortholattices
Andrei A. Griba, Georgy N. Parfionovb a Department of Theoretical Physics and Astronomy, A. I. Herzen State Pedagogical University, Russia
b St. Petersburg State University of Economics and Finances, St. Petersburg, Russia
Abstract:
A natural connection between antagonistic matrix games and ortholattices (quantum logics) is established. It is shown that the equilibrium in the corresponding quantum game defines the operator representation of the quantum logic. The conditions of the quantum equilibrium are formulated.
Keywords:
quantum equilibrium, ortholattices, linear representations.
Citation:
Andrei A. Grib, Georgy N. Parfionov, “Quantum Nash-Equilibrium and Linear Representations of Ortholattices”, Contributions to Game Theory and Management, 3 (2010), 132–143
Linking options:
https://www.mathnet.ru/eng/cgtm81 https://www.mathnet.ru/eng/cgtm/v3/p132
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Statistics & downloads: |
Abstract page: | 180 | Full-text PDF : | 99 | References: | 47 |
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