Geodesic
Quantum Nash-Equilibrium and Linear Representations of Ortholattices
Contributions to game theory and management, Tome 3 (2010), pp. 132-143.

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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. 
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Andrei A. Grib; Georgy N. Parfionov. Quantum Nash-Equilibrium and Linear Representations of Ortholattices. Contributions to game theory and management, Tome 3 (2010), pp. 132-143. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a11/

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