What Is Quantum in Probabilistic Explanations of the Sure-Thing Principle Violation?

dc.authoridPusuluk, Onur/0000-0002-9167-7273
dc.authorscopusid58483567400
dc.authorscopusid57203729209
dc.authorwosidPusuluk, Onur/T-4761-2018
dc.contributor.authorMahalli, Nematollah Farhadi
dc.contributor.authorPusuluk, Onur
dc.date.accessioned2024-06-23T21:38:20Z
dc.date.available2024-06-23T21:38:20Z
dc.date.issued2024
dc.departmentKadir Has Universityen_US
dc.department-temp[Mahalli, Nematollah Farhadi; Pusuluk, Onur] Koc Univ, Dept Phys, TR-34450 Istanbul, Turkiye; [Pusuluk, Onur] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkiyeen_US
dc.descriptionPusuluk, Onur/0000-0002-9167-7273en_US
dc.description.abstractThe Prisoner's Dilemma game (PDG) is one of the simple test -beds for the probabilistic nature of the human decision -making process. Behavioral experiments have been conducted on this game for decades and show a violation of the so-called sure -thing principle , a key principle in the rational theory of decision. Quantum probabilistic models can explain this violation as a second -order interference effect, which cannot be accounted for by classical probability theory. Here, we adopt the framework of generalized probabilistic theories and approach this explanation from the viewpoint of quantum information theory to identify the source of the interference. In particular, we reformulate one of the existing quantum probabilistic models using density matrix formalism and consider different amounts of classical and quantum uncertainties for one player's prediction about another player's action in PDG. This enables us to demonstrate that what makes possible the explanation of the violation is the presence of quantum coherence in the player's initial prediction and its conversion to probabilities during the dynamics. Moreover, we discuss the role of other quantum informationtheoretical quantities, such as quantum entanglement, in the decision -making process. Finally, we propose a three -choice extension of the PDG to compare the predictive powers of quantum probability theory and a more general probabilistic theory that includes it as a particular case and exhibits third -order interference.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkiye (TUBITAK) [120F089]en_US
dc.description.sponsorshipThe authors are grateful to Alkan Kabakc & imath;o & gbreve;lu and Emmanuel M. Pothos for useful suggestions and extensive discussions. O.P. acknowl-edges support by the Scientific and Technological Research Council of Turkiye (TUBITAK), Grant No. (120F089) .en_US
dc.identifier.citation0
dc.identifier.doi10.1016/j.biosystems.2024.105180
dc.identifier.issn0303-2647
dc.identifier.issn1872-8324
dc.identifier.pmid38467237
dc.identifier.scopus2-s2.0-85187648437
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1016/j.biosystems.2024.105180
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5786
dc.identifier.volume238en_US
dc.identifier.wosWOS:001221483000001
dc.institutionauthorPusuluk, Onur
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPrisoner's dilemmaen_US
dc.subjectSure thing principleen_US
dc.subjectQuantum coherenceen_US
dc.subjectGeneralized probabilistic theoriesen_US
dc.titleWhat Is Quantum in Probabilistic Explanations of the Sure-Thing Principle Violation?en_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication42759aef-00c8-4ebd-8127-0adba58b9e16
relation.isAuthorOfPublication.latestForDiscovery42759aef-00c8-4ebd-8127-0adba58b9e16

Files