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

dc.authorid Pusuluk, Onur/0000-0002-9167-7273
dc.authorscopusid 58483567400
dc.authorscopusid 57203729209
dc.authorwosid Pusuluk, Onur/T-4761-2018
dc.contributor.author Mahalli, Nematollah Farhadi
dc.contributor.author Pusuluk, Onur
dc.contributor.author Pusuluk, Onur
dc.contributor.other Core Program
dc.date.accessioned 2024-06-23T21:38:20Z
dc.date.available 2024-06-23T21:38:20Z
dc.date.issued 2024
dc.department Kadir Has University en_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, Turkiye en_US
dc.description Pusuluk, Onur/0000-0002-9167-7273 en_US
dc.description.abstract The 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.sponsorship Scientific and Technological Research Council of Turkiye (TUBITAK) [120F089] en_US
dc.description.sponsorship The 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.citationcount 0
dc.identifier.doi 10.1016/j.biosystems.2024.105180
dc.identifier.issn 0303-2647
dc.identifier.issn 1872-8324
dc.identifier.pmid 38467237
dc.identifier.scopus 2-s2.0-85187648437
dc.identifier.scopusquality Q3
dc.identifier.uri https://doi.org/10.1016/j.biosystems.2024.105180
dc.identifier.uri https://hdl.handle.net/20.500.12469/5786
dc.identifier.volume 238 en_US
dc.identifier.wos WOS:001221483000001
dc.language.iso en en_US
dc.publisher Elsevier Sci Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.subject Prisoner's dilemma en_US
dc.subject Sure thing principle en_US
dc.subject Quantum coherence en_US
dc.subject Generalized probabilistic theories en_US
dc.title What Is Quantum in Probabilistic Explanations of the Sure-Thing Principle Violation? en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
relation.isAuthorOfPublication 42759aef-00c8-4ebd-8127-0adba58b9e16
relation.isAuthorOfPublication.latestForDiscovery 42759aef-00c8-4ebd-8127-0adba58b9e16
relation.isOrgUnitOfPublication 0829c741-cc05-42c7-934e-943f8448105f
relation.isOrgUnitOfPublication.latestForDiscovery 0829c741-cc05-42c7-934e-943f8448105f

Files