Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{GriPar11}
\by A.~A.~Grib, G.~N.~Parfionov
\paper Quantum logics, games, and equilibriums
\jour TMF
\yr 2011
\vol 169
\issue 2
\pages 259--271
\mathnet{http://mi.mathnet.ru/tmf6727}
\crossref{https://doi.org/10.4213/tmf6727}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3171189}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...169.1589G}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 169
\issue 2
\pages 1589--1599
\crossref{https://doi.org/10.1007/s11232-011-0136-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297912700008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055187004}
Linking options:
  • https://www.mathnet.ru/eng/tmf6727
  • https://doi.org/10.4213/tmf6727
  • https://www.mathnet.ru/eng/tmf/v169/i2/p259
    • This publication is cited in the following 2 articles:
    1. Quantum Electron., 49:8 (2019), 777–778  mathnet  crossref  isi  elib
    2. Grib A., “Some Remarks on Quantum Logics and Quantum Mechanics”, Adv. Appl. Clifford Algebr., 28:1 (2018), UNSP 29  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:686
    Full-text PDF :332
    References:84
    First page:36
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025