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Quantum(-like) Formalization of Common Knowledge: Binmore-Brandenburger Operator Approach
Linnaeus University, Faculty of Technology, Department of Mathematics. Russian Acad Sci, Russia.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2015 (English)In: Quantum Interaction (QI 2014): 8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014. Revised Selected Papers / [ed] Harald Atmanspacher, Claudia Bergomi , Thomas Filk, Kirsty Kitto, Springer, 2015, Vol. 8951, p. 93-104Conference paper, Published paper (Refereed)
Abstract [en]

We present the detailed account of the quantum(-like) viewpoint to common knowledge. The Binmore-Brandenburger operator approach to the notion of common knowledge is extended to the quantum case. We develop a special quantum(-like) model of common knowledge based on information representations of agents which can be operationally represented by Hermitian operators. For simplicity, we assume that each agent constructs her/his information representation by using just one operator. However, different agents use in general representations based on noncommuting operators, i.e., incompatible representations. The quantum analog of basic system of common knowledge features K1 - K5 is derived.

Place, publisher, year, edition, pages
Springer, 2015. Vol. 8951, p. 93-104
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 8951
Keyword [en]
Common knowledge, Binmore-Brandenburger operator approach, Quantum(-like) decision making
National Category
Computer Vision and Robotics (Autonomous Systems) Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-41535DOI: 10.1007/978-3-319-15931-7_8ISI: 000355731900008Scopus ID: 2-s2.0-84923567631ISBN: 978-3-319-15930-0 (print)OAI: oai:DiVA.org:lnu-41535DiVA: diva2:799965
Conference
8th International Conference, QI 2014, Filzbach, Switzerland, June 30 - July 3, 2014.
Projects
Mathematical Modeling
Available from: 2015-04-01 Created: 2015-04-01 Last updated: 2018-01-11Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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  • Other locale
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Output format
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