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The use of action functionals within the quantum-like paradigm
Univ Leicester, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2017 (English)In: Journal of mathematical psychology (Print), ISSN 0022-2496, E-ISSN 1096-0880, Vol. 78, 13-23 p.Article in journal (Refereed) Published
Abstract [en]

Arbitrage is a key concept in the theory of asset pricing and it plays a crucial role in financial decision making. The concept of the curvature of so-called 'fibre bundles' can be used to define arbitrage. The concept of 'action' can play an important role in the definition of arbitrage. In this paper, we connect the probabilities emerging from a (non) zero linear action with so-called risk neutral probabilities. The paper also shows how arbitrage/non arbitrage can be well defined within a quantum-like paradigm. We also discuss briefly the behavioural dimension of arbitrage. (C) 2016 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
2017. Vol. 78, 13-23 p.
Keyword [en]
Quantum-like paradigm, Arbitrage, Decision making, Risk neutral probabilities
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-66897DOI: 10.1016/j.jmp.2016.06.001ISI: 000403636800003OAI: oai:DiVA.org:lnu-66897DiVA: diva2:1121689
Available from: 2017-07-12 Created: 2017-07-12 Last updated: 2017-07-12Bibliographically approved

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Khrennikov, Andrei

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