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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 259–271
DOI: https://doi.org/10.4213/tmf6727 (Mi tmf6727) 		 
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
Full-text PDF (360 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6727
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
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1589–1599
DOI: https://doi.org/10.1007/s11232-011-0136-5
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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