A model of adaptive decision-making from representation of information environment by quantum fields

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Fältnamn	Indikatorer	Metadata
000		02982naa a2200385 4500
001		oai:DiVA.org:lnu-68548
003		SwePub
008		171101s2017 \| \|\|\|\|\|\|\|\|\|\|\|000 \|\|eng\|
024	7	a https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-685482 URI
024	7	a https://doi.org/10.1098/rsta.2017.01622 DOI
040		a (SwePub)lnu
041		a engb eng
042		9 SwePub
072	7	a ref2 swepub-contenttype
072	7	a art2 swepub-publicationtype
100	1	a Bagarello, F.u Univ Palermo, Italy ; INFN, Italy4 aut
245	1 0	a A model of adaptive decision-making from representation of information environment by quantum fields
264		c 2017-10-02
264	1	b The Royal Society Publishing,c 2017
338		a print2 rdacarrier
520		a We present the mathematical model of decisionmaking (DM) of agents acting in a complex and uncertain environment (combining huge variety of economical, financial, behavioural and geopolitical factors). To describe interaction of agents with it, we apply the formalism of quantum field theory (QTF). Quantum fields are a purely informational nature. The QFT model can be treated as a far relative of the expected utility theory, where the role of utility is played by adaptivity to an environment (bath). However, this sort of utility- adaptivity cannot be represented simply as a numerical function. The operator representation in Hilbert space is used and adaptivity is described as in quantum dynamics. We are especially interested in stabilization of solutions for sufficiently large time. The outputs of this stabilization process, probabilities for possible choices, are treated in the framework of classical DM. To connect classical and quantum DM, we appeal to Quantum Bayesianism. We demonstrate the quantumlike interference effect in DM, which is exhibited as a violation of the formula of total probability, and hence the classical Bayesian inference scheme. This article is part of the themed issue 'Second quantum revolution: foundational questions'.
650	7	a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe
650	7	a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng
653		a decision-making
653		a ladder and number operators
653		a game theory
653		a Mathematics
653		a Matematik
700	1	a Haven, E.u Univ Leicester, UK4 aut
700	1	a Khrennikov, Andrei,d 1958-u Linnéuniversitetet,Institutionen för matematik (MA),Natl Res Univ Informat Technol Mech & Opt ITMO, Russia,Int Ctr Math Modeling Phys & Cognit Sci4 aut0 (Swepub:lnu)akhmsi
710	2	a Univ Palermo, Italy ; INFN, Italyb Univ Leicester, UK4 org
773	0	t Philosophical Transactions. Series Ad : The Royal Society Publishingg 375:2106q 375:2106x 1364-503Xx 1471-2962
856	4	u https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2017.0162
856	4 8	u https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-68548
856	4 8	u https://doi.org/10.1098/rsta.2017.0162

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