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This article is cited in 2 scientific papers (total in 2 papers)
Quantum logics, games, and equilibriums
A. A. Griba, G. N. Parfionovb a Hertsen Russian State Pedagogical University,
St. Petersburg, Russia
b St. Petersburg State University of Economics and Finance,
St. Petersburg, Russia
Abstract:
We establish a natural relation between antagonistic matrix games and ortholattices (quantum logics). We show that an equilibrium in the corresponding quantum game determines the operator representation of a quantum logic. We formulate a condition for quantum equilibrium.
Keywords:
quantum logic, lattice, quantum game, Nash equilibrium.
Received: 19.11.2011
Citation:
A. A. Grib, G. N. Parfionov, “Quantum logics, games, and equilibriums”, TMF, 169:2 (2011), 259–271; Theoret. and Math. Phys., 169:2 (2011), 1589–1599
Linking options:
https://www.mathnet.ru/eng/tmf6727https://doi.org/10.4213/tmf6727 https://www.mathnet.ru/eng/tmf/v169/i2/p259
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Abstract page: | 628 | Full-text PDF : | 308 | References: | 68 | First page: | 36 |
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