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Quantum-like microeconomics: Statistical model of distribution of investments and production
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Matematik)ORCID iD: 0000-0002-9857-0938
2008 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 387, no 23, p. 5826-5843Article in journal (Refereed) Published
Abstract [en]

In this paper we demonstrate that the probabilistic quantum-like (QL) behavior–the Born’s rule, interference of probabilities, violation of Bell’s inequality, representation of variables by in general noncommutative self-adjoint operators, Schrödinger’s dynamics–can be exhibited not only by processes in the micro world, but also in economics. In our approach the QL-behavior is induced not by properties of systems. Here systems (commodities) are macroscopic. They could not be superpositions of two different states. In our approach the QL-behavior of economical statistics is a consequence of the organization of the process of production as well as investments. In particular, Hamiltonian (“financial energy”) is determined by rate of return.

Place, publisher, year, edition, pages
2008. Vol. 387, no 23, p. 5826-5843
Keywords [en]
Probability; Quantum-like behavior; The Born’s rule; Interference of probabilities; Violation of Bell’s inequality; Representation of variables by in general noncommutative self-adjoint operators; Schrödinger’s dynamics; Microeconomics; Production; Investments; Rate of return; Financial energy
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-3863DOI: 10.1016/j.physa.2008.06.037OAI: oai:DiVA.org:vxu-3863DiVA, id: diva2:203820
Available from: 2009-01-02 Created: 2009-01-02 Last updated: 2017-12-13Bibliographically approved

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Publisher's full texthttp://databas.bib.vxu.se:2451/summary.do?qid=2&product=WOS&SID=X2jIMGBJOn1Bng9N38b&search_mode=GeneralSearch

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Khrennikov, Andrei

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CiteExportLink to record
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  • apa
  • ieee
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  • Other style
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  • de-DE
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