Two experimental tasks in psychology, the two-stage gambling game and the Prisoner's Dilemma game, show that people violate the sure thing principle of decision theory. These paradoxical findings have resisted explanation by classical decision theory for over a decade. A quantum probability model, based on a Hilbert space representation and Schrödinger's equation, provides a simple and elegant explanation for this behaviour. The quantum model is compared with an equivalent Markov model and it is shown that the latter is unable to account for violations of the sure thing principle. Accordingly, it is argued that quantum probability provides a better framework for modelling human decision-making.

References

Aerts D.& Aerts S.. 1994Applications of quantum statistics in psychological studies of decision processes. Found. Sci. 1, 85–97. Crossref, Google Scholar
Aerts D.& Gabora L.A theory of concepts and their combinations I: the structure of the sets of contexts and properties. Kybernetes. 34, 2005a151–175.doi:10.1108/03684920510699972. . Crossref, ISI, Google Scholar
Aerts D.& Gabora L.A theory of concepts and their combinations II: a Hilbert space representation. Kybernetes. 34, 2005b192–220.doi:10.1108/03684920510575807. . Crossref, ISI, Google Scholar
Aerts D., Broekaerst J.& Smets S.. 2004A quantum structure description of the liar paradox. Int. J. Theor. Phys. 38, 3231–3239.doi:10.1023/A:1026686316673. . Crossref, ISI, Google Scholar
Aerts, D., Broekaert, J. & Gabora, L. In press. A case for applying an abstracted quantum formalism to cognition. New Ideas Psychol. Google Scholar
Anderson J.R., Matessa M.& Lebiere C.. 1997ACT-R: a theory of higher level cognition and its relation to visual attention. Hum. Comput. Interact. 12, 439–462.doi:10.1207/s15327051hci1204_5. . Crossref, ISI, Google Scholar
Atallah H.E., Frank M.J.& O'Reilly R.C.. 2004Hippocampus, cortex, and basal ganglia: insights from computational models of complementary learning systems. Neurobiol. Learn. Mem. 82, 253–267.doi:10.1016/j.nlm.2004.06.004. . Crossref, PubMed, ISI, Google Scholar
Atmanspacher H., Römer H.& Walach H.. 2002Weak quantum theory: complementarity and entanglement in physics and beyond. Found. Phys. 32, 379–406. Crossref, ISI, Google Scholar
Atmanspacher H., Filk T.& Römer H.. 2004Quantum Zeno features of bistable perception. Biol. Cybern. 90, 33–40.doi:10.1007/s00422-003-0436-4. . Crossref, PubMed, ISI, Google Scholar
Axelrod R.& Hamilton W.D.. 1981The evolution of cooperation. Science. 211, 1390–1396.doi:10.1126/science.7466396. . Crossref, PubMed, ISI, Google Scholar
Bordley R.F.. 1998Quantum mechanical and human violations of compound probability principles: toward a generalized Heisenberg uncertainty principle. Oper. Res. 46, 923–926.doi:10.1287/opre.46.6.923. . Crossref, ISI, Google Scholar
Bruza, P., Widdows, D. & Woods, J. 2008 A quantum logic of down below. In Handbook of quantum logic, quantum structures, and quantum computation, vol. 2 (eds K. Engesser, D. Gabbay & D. Lehmann), pp. 625–660. Amsterdam, The Netherlands: Elsevier. Google Scholar
Busemeyer, J. R., Matthew, M. & Wang, Z. A. 2006a Quantum game theory explanation of disjunction effects. In Proc. 28th Annual Conf. of the Cognitive Science Society (eds R. Sun & N. Miyake), pp. 131–135. Mahwah, NJ: Erlbaum. Google Scholar
Busemeyer J.R., Wang Z.& Townsend J.T.Quantum dynamics of human decision-making. J. Math. Psychol. 50, 2006b220–241.doi:10.1016/j.jmp.2006.01.003. . Crossref, ISI, Google Scholar
Chater N.. 1999The search for simplicity: a fundamental cognitive principle?. Q. J. Exp. Psychol. A. 52, 273–302.doi:10.1080/027249899391070. . Crossref, Google Scholar
Chater N., Vlaev I.& Grinberg M.. 2008A new consequence of Simpson's paradox: stable cooperation in one-shot Prisoner's Dilemma from populations of individualistic learners. J. Exp. Psychol. Gen. 137, 403–421.doi:10.1037/0096-3445.137.3.403. . Crossref, PubMed, ISI, Google Scholar
Croson R.. 1999The disjunction effect and reason-based choice in games. Organ. Behav. Hum. Decis. Process. 80, 118–133.doi:10.1006/obhd.1999.2846. . Crossref, PubMed, ISI, Google Scholar
Diederich A.& Busemeyer J.R.. 2006Modeling the effects of payoffs on response bias in a perceptual discrimination task: threshold bound, drift rate change, or two stage processing hypothesis. Percept. Psychophys. 97, 51–72. Google Scholar
Egan L.C., Santos L.R.& Bloom P.. 2007The origins of cognitive dissonance: evidence from children and monkeys. Psychol. Sci. 18, 978–983.doi:10.1111/j.1467-9280.2007.02012.x. . Crossref, PubMed, ISI, Google Scholar
Eisert J., Wilkens M.& Lewenstein M.. 1999Quantum games and quantum strategies. Phys. Rev. Lett. 83, 3077–3080.doi:10.1103/PhysRevLett.83.3077. . Crossref, ISI, Google Scholar
Festinger L.A theory of cognitive dissonance. 1957Stanford, CA:Stanford University Press. Google Scholar
Franco, R. In press. The conjunction fallacy and interference effects. J. Math. Psychol. (Special issue on Quantum cognition and decision making). Google Scholar
Gabora L.& Aerts D.. 2002Contextualizing concepts using a mathematical generalization of the quantum formalism. J. Exp. Theor. Artif. Intell. 14, 327–358.doi:10.1080/09528130210162253. . Crossref, ISI, Google Scholar
Gigerenzer G.. 1996Reasoning the fast and frugal way: models of bounded rationality. Psychol. Rev. 103, 650–669.doi:10.1037/0033-295X.103.4.650. . Crossref, PubMed, ISI, Google Scholar
Grover L.. 1997Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325doi:10.1103/PhysRevLett.79.325. . Crossref, ISI, Google Scholar
Haggard P.& Eimer M.. 1999On the relation between brain potential and the awareness of voluntary movements. Exp. Brain Res. 126, 128–133.doi:10.1007/s002210050722. . Crossref, PubMed, ISI, Google Scholar
Hameroff S.R.& Penrose R.. 1996Conscious events as orchestrated space–time selections. J. Conscious. Stud. 3, 36–53. Google Scholar
Kefi S., Bonnet O.& Danchin E.. 2007Accumulated gain in Prisoner's Dilemma: which game is carried out by the players?. Anim. Behav. 74, e1–e6.doi:10.1016/j.anbehav.2006.11.025. . Crossref, ISI, Google Scholar
Khrennikov, A. 2004 Information dynamics in cognitive, psychological, social and anomalous phenomena. Fundamental theories of physics, vol. 138. Dordrecht, The Netherlands: Kluwer Academic Publishers. Google Scholar
La Mura, P. In press. Projective expected utility. J. Math. Psychol. Google Scholar
Li S.& Taplin J.. 2002Examining whether there is a disjunction effect in Prisoner's Dilemma games. Chin. J. Psychol. 44, 25–46. Google Scholar
Marr D.Vision: a computational investigation into the human representation and processing of visual information. 1982San Francisco, CA:W. H. Freeman. Google Scholar
Mogiliansky, A. L., Zamir, S. & Zwirn, H. In press. Type indeterminacy: a model of the KT (Kahneman Tversky)—man. J. Math. Psychol. (Special issue on Quantum cognition and decision making). Google Scholar
Nielsen M.A.& Chuang L.L.Quantum computation and quantum information. 2000Cambridge, UK:Cambridge University Press. Google Scholar
Oaksford M.& Chater N.. 1994A rational analysis of the selection task as optimal data selection. Psychol. Rev. 101, 608–631.doi:10.1037/0033-295X.101.4.608. . Crossref, ISI, Google Scholar
Pribram K.H.Rethinking neural networks: quantum fields and biological data. 1993Hillsdale, NJ:Erlbaum. Google Scholar
Rumelhart D.E.& McClelland J.L. vol. 11986Cambridge, MA:MIT Press. Google Scholar
Savage L.J.The foundations of statistics. 1954New York, NY:Wiley. Google Scholar
Shafir E.& Tversky A.. 1992Thinking through uncertainty: nonconsequential reasoning and choice. Cogn. Psychol. 24, 449–474.doi:10.1016/0010-0285(92)90015-T. . Crossref, PubMed, ISI, Google Scholar
Shafir S.. 1994Intransitivity of preferences in honey bees: support for ‘comparative’ evaluation of foraging options. Anim. Behav. 48, 55–67.doi:10.1006/anbe.1994.1211. . Crossref, ISI, Google Scholar
Stephens D.W., McLinn C.M.& Stevens J.R.. 2002Discounting and reciprocity in an iterated Prisoner's Dilemma. Science. 298, 2216–2218.doi:10.1126/science.1078498. . Crossref, PubMed, ISI, Google Scholar
St Evans B.T.J., Newstead S.E.& Byrne R.J.M.Human reasoning: the psychology of deduction. 1991Hove, UK:Lawrence Erlbaum Associates. Google Scholar
Tenenbaum J.& Griffiths T.L.. 2001Generalization, similarity, and Bayesian inference. Behav. Brain Sci. 24, 629–641.doi:10.1017/S0140525X01000061. . Crossref, PubMed, ISI, Google Scholar
Tversky A.& Kahneman D.. 1983Judgment under uncertainty: heuristics and biases. Science. 185, 1124–1131.doi:10.1126/science.185.4157.1124. . Crossref, ISI, Google Scholar
Tversky A.& Shafir E.. 1992The disjunction effect in choice under uncertainty. Psychol. Sci. 3, 305–309.doi:10.1111/j.1467-9280.1992.tb00678.x. . Crossref, ISI, Google Scholar
Van Rijsbergen C.J.The geometry of information retrieval. 2004Cambridge, UK:Cambridge University Press. Google Scholar
Waite T.. 2001Intransitive preferences in hoarding gray jays (Perisoreus Canadensis). Behav. Ecol. Sociobiol. 50, 116–121.doi:10.1007/s002650100346. . Crossref, ISI, Google Scholar
Widdows, D. 2006 Geometry and meaning. Stanford, CA: CSLI Publications; Chicago, IL: University of Chicago Press. Google Scholar

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Busemeyer J and Wang Z (2019) Primer on quantum cognition, The Spanish Journal of Psychology, 10.1017/sjp.2019.51, 22, .

Lee J, Bang J, Lee J and Lee K (2019) Experimental Demonstration on Quantum Sensitivity to Available Information in Decision Making, Scientific Reports, 10.1038/s41598-018-36945-5, 9:1, Online publication date: 1-Dec-2019.

Vaio F (2019) The quantum-like approach to modeling classical rationality violations: an introduction, Mind & Society, 10.1007/s11299-019-00212-5, 18:1, (105-123), Online publication date: 1-Jun-2019.

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Khrennikov A, Toffano Z and Dubois F (2019) Concept of information laser: from quantum theory to behavioural dynamics, The European Physical Journal Special Topics, 10.1140/epjst/e2018-800027-6, 227:15-16, (2133-2153), Online publication date: 1-Mar-2019.

He Z and Jiang W (2018) An evidential Markov decision making model, Information Sciences, 10.1016/j.ins.2018.08.013, 467, (357-372), Online publication date: 1-Oct-2018.

Charles-Cadogan G (2018) Probability interference in expected utility theory, Journal of Mathematical Economics, 10.1016/j.jmateco.2018.03.006, 78, (163-175), Online publication date: 1-Oct-2018.

Maruyama Y (2018) The Frame Problem, Gödelian Incompleteness, and the Lucas-Penrose Argument: A Structural Analysis of Arguments About Limits of AI, and Its Physical and Metaphysical Consequences Philosophy and Theory of Artificial Intelligence 2017, 10.1007/978-3-319-96448-5_19, (194-206), .

Aerts D, Melucci M, Sassoli de Bianchi M, Sozzo S and Veloz T (2018) Special Issue: Quantum structures in computer science: Language, semantics, retrieval, Theoretical Computer Science, 10.1016/j.tcs.2018.11.010, 752, (1-4), Online publication date: 1-Dec-2018.

Liu S (2018) A QUANTUM INSPIRED MADM METHOD AND THE APPLICATION IN E-COMMERCE RECOMMENDATION, Technological and Economic Development of Economy, 10.3846/20294913.2017.1318313, 24:5, (1941-1954), Online publication date: 1-Oct-2018.

Moreira C and Wichert A (2018) Are quantum-like Bayesian networks more powerful than classical Bayesian networks?, Journal of Mathematical Psychology, 10.1016/j.jmp.2017.11.003, 82, (73-83), Online publication date: 1-Feb-2018.

Mistry P, Pothos E, Vandekerckhove J and Trueblood J (2018) A quantum probability account of individual differences in causal reasoning, Journal of Mathematical Psychology, 10.1016/j.jmp.2018.09.003, 87, (76-97), Online publication date: 1-Dec-2018.

Aerts D, Arguëlles J, Beltran L, Beltran L, Distrito I, de Bianchi M, Sozzo S and Veloz T (2018) Towards a quantum World Wide Web, Theoretical Computer Science, 10.1016/j.tcs.2018.03.019, 752, (116-131), Online publication date: 1-Dec-2018.

Aerts D, Arguëlles J, Beltran L, Geriente S, Sassoli de Bianchi M, Sozzo S and Veloz T (2017) Spin and Wind Directions II: A Bell State Quantum Model, Foundations of Science, 10.1007/s10699-017-9530-2, 23:2, (337-365), Online publication date: 1-Jun-2018.

Bruza P and Hoenkamp E (2018) Reinforcing Trust in Autonomous Systems: A Quantum Cognitive Approach Foundations of Trusted Autonomy, 10.1007/978-3-319-64816-3_12, (215-224), .

de Freitas E and Sinclair N (2018) The Quantum Mind: Alternative Ways of Reasoning with Uncertainty, Canadian Journal of Science, Mathematics and Technology Education, 10.1007/s42330-018-0024-1, 18:3, (271-283), Online publication date: 1-Sep-2018.

Khrennikov A, Basieva I, Pothos E and Yamato I (2018) Quantum probability in decision making from quantum information representation of neuronal states, Scientific Reports, 10.1038/s41598-018-34531-3, 8:1, Online publication date: 1-Dec-2018.

He Z and Jiang W (2018) An evidential dynamical model to predict the interference effect of categorization on decision making results, Knowledge-Based Systems, 10.1016/j.knosys.2018.03.014, 150, (139-149), Online publication date: 1-Jun-2018.

Balconi M and Vanutelli M (2018) Alpha brain oscillations, approach attitude, and locus of control affect self-perception of social efficacy in cooperative joint-action, Frontiers in Life Science, 10.1080/21553769.2018.1465858, 11:1, (11-25), Online publication date: 1-Jan-2018.

Arguëlles J (2018) The Heart of an Image: Quantum Superposition and Entanglement in Visual Perception, Foundations of Science, 10.1007/s10699-018-9547-1, 23:4, (757-778), Online publication date: 1-Dec-2018.

Basieva I, Khrennikova P, Pothos E, Asano M and Khrennikov A (2018) Quantum-like model of subjective expected utility, Journal of Mathematical Economics, 10.1016/j.jmateco.2018.02.001, 78, (150-162), Online publication date: 1-Oct-2018.

Haven E and Khrennikova P (2018) A quantum-probabilistic paradigm: Non-consequential reasoning and state dependence in investment choice, Journal of Mathematical Economics, 10.1016/j.jmateco.2018.04.003, 78, (186-197), Online publication date: 1-Oct-2018.

Acacio de Barros J and Oas G (2018) Mapping Quantum Reality: What to Do When the Territory Does Not Make Sense? The Map and the Territory, 10.1007/978-3-319-72478-2_17, (325-342), .

Bagarello F, Basieva I and Khrennikov A (2018) Quantum field inspired model of decision making: Asymptotic stabilization of belief state via interaction with surrounding mental environment, Journal of Mathematical Psychology, 10.1016/j.jmp.2017.10.002, 82, (159-168), Online publication date: 1-Feb-2018.

Uprety S and Song D (2018) Investigating Order Effects in Multidimensional Relevance Judgment using Query Logs ICTIR '18: The 2018 ACM SIGIR International Conference on the Theory of Information Retrieval, 10.1145/3234944.3234972, 9781450356565, (191-194), Online publication date: 10-Sep-2018.

Bagarello F, Basieva I, Pothos E and Khrennikov A (2018) Quantum like modeling of decision making: Quantifying uncertainty with the aid of Heisenberg–Robertson inequality, Journal of Mathematical Psychology, 10.1016/j.jmp.2018.03.004, 84, (49-56), Online publication date: 1-Jun-2018.

He Z, Chan F and Jiang W (2018) A quantum framework for modelling subjectivity in multi-attribute group decision making, Computers & Industrial Engineering, 10.1016/j.cie.2018.08.001, 124, (560-572), Online publication date: 1-Oct-2018.

Broekaert J, Basieva I, Blasiak P and Pothos E (2017) Quantum-like dynamics applied to cognition: a consideration of available options, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375:2106, Online publication date: 13-Nov-2017.
Khrennikova P and Haven E (2017) Quantum generalized observables framework for psychological data: a case of preference reversals in US elections, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375:2106, Online publication date: 13-Nov-2017.
Bagarello F, Haven E and Khrennikov A (2017) A model of adaptive decision-making from representation of information environment by quantum fields, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375:2106, Online publication date: 13-Nov-2017.

Trueblood J and Mistry P (2017) Quantum Models of Human Causal Reasoning The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_12, (251-266), .

Atmanspacher H (2017) Quantum Approaches to Brain and Mind The Blackwell Companion to Consciousness, 10.1002/9781119132363.ch21, (298-313)

Moreira C and Wichert A (2017) Are Quantum Models for Order Effects Quantum?, International Journal of Theoretical Physics, 10.1007/s10773-017-3424-5, 56:12, (4029-4046), Online publication date: 1-Dec-2017.

Moreira C and Wichert A (2017) Exploring the relations between Quantum-Like Bayesian Networks and decision-making tasks with regard to face stimuli, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.10.004, 78, (86-95), Online publication date: 1-Jun-2017.

Busemeyer J, Fakhari P and Kvam P (2017) Neural implementation of operations used in quantum cognition, Progress in Biophysics and Molecular Biology, 10.1016/j.pbiomolbio.2017.04.007, 130, (53-60), Online publication date: 1-Nov-2017.

Yearsley J (2017) Advanced tools and concepts for quantum cognition: A tutorial, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.07.005, 78, (24-39), Online publication date: 1-Jun-2017.

Asano M, Basieva I, Khrennikov A, Ohya M and Tanaka Y (2017) A quantum-like model of selection behavior, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.07.006, 78, (2-12), Online publication date: 1-Jun-2017.

White L, Pothos E and Busemeyer J (2017) A Quantum Probability Model for the Constructive Influence of Affective Evaluation The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_13, (267-291), .

de Barros J and Oas G (2017) Quantum Cognition, Neural Oscillators, and Negative Probabilities The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_10, (195-228), .

Basieva I and Khrennikov A (2017) Testing Boundaries of Applicability of Quantum Probabilistic Formalism to Modeling of Cognition: Metaphors of Two and Three Slit Experiments Quantum Interaction, 10.1007/978-3-319-52289-0_4, (49-56), .

Déli E, Tozzi A and Peters J (2017) Relationships between short and fast brain timescales, Cognitive Neurodynamics, 10.1007/s11571-017-9450-4, 11:6, (539-552), Online publication date: 1-Dec-2017.

Keith S and Bull J (2016) Animal culture impacts species' capacity to realise climate-driven range shifts, Ecography, 10.1111/ecog.02481, 40:2, (296-304), Online publication date: 1-Feb-2017.

Khrennikova P (2017) Modeling behavior of decision makers with the aid of algebra of qubit creation–annihilation operators, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.10.003, 78, (76-85), Online publication date: 1-Jun-2017.

Khrennikov A (2017) Why Quantum? The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_15, (321-334), .

Trueblood J and Hemmer P (2016) The Generalized Quantum Episodic Memory Model, Cognitive Science, 10.1111/cogs.12460, 41:8, (2089-2125), Online publication date: 1-Nov-2017.

Cocchi M, Tonello L and Gabrielli F (2017) Quantum Paradigms of Psychopathology: From Consciousness to Neuroethics, Open Journal of Depression, 10.4236/ojd.2017.61003, 06:01, (24-30), .

Hassanpour N and Chen L (2017) A Quantum Probability Inspired Framework for Image-Set Based Face Identification 2017 12th IEEE International Conference on Automatic Face & Gesture Recognition (FG 2017), 10.1109/FG.2017.73, 978-1-5090-4023-0, (551-557)

Denolf J (2017) A First Attempt at Ordinal Projective Measurement Quantum Interaction, 10.1007/978-3-319-52289-0_18, (227-238), .

Khrennikova P and Haven E (2017) Voters’ Preferences in a Quantum Framework The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_8, (141-155), .

Balconi M, Crivelli D and Vanutelli M (2017) Why to cooperate is better than to compete: brain and personality components, BMC Neuroscience, 10.1186/s12868-017-0386-8, 18:1, Online publication date: 1-Dec-2017.

Smith C and Zorn C (2017) Strategic Choice in Hilbert Space The Palgrave Handbook of Quantum Models in Social Science, 10.1057/978-1-137-49276-0_7, (121-139), .

Yearsley J and Pothos E (2016) Zeno's paradox in decision-making, Proceedings of the Royal Society B: Biological Sciences, 283:1828, Online publication date: 13-Apr-2016.
Aerts D, Sozzo S and Veloz T (2016) New fundamental evidence of non-classical structure in the combination of natural concepts, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374:2058, Online publication date: 13-Jan-2016.
Khrennikova P and Haven E (2016) Instability of political preferences and the role of mass media: a dynamical representation in a quantum framework, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374:2058, Online publication date: 13-Jan-2016.
Khrennikov A (2016) Quantum Bayesianism as the basis of general theory of decision-making, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374:2068, Online publication date: 28-May-2016.

Accardi L, Khrennikov A, Ohya M, Tanaka Y and Yamato I (2016) Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process, Open Systems & Information Dynamics, 10.1142/S1230161216500116, 23:02, (1650011), Online publication date: 1-Jun-2016.

Atmanspacher H (2016) Non-commutative Structures from Quantum Physics to Consciousness Studies From Chemistry to Consciousness, 10.1007/978-3-319-43573-2_8, (127-146), .

Moreira C and Wichert A (2016) The Relation Between Acausality and Interference in Quantum-Like Bayesian Networks Quantum Interaction, 10.1007/978-3-319-28675-4_10, (129-141), .

Khrennikova P (2016) Quantum dynamical modeling of competition and cooperation between political parties: The coalition and non-coalition equilibrium model, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.02.009, 71, (39-50), Online publication date: 1-Apr-2016.

Ashtiani M and Azgomi M (2015) A formulation of computational trust based on quantum decision theory, Information Systems Frontiers, 10.1007/s10796-015-9555-4, 18:4, (735-764), Online publication date: 1-Aug-2016.

Roy S (2016) New Empirical Evidences on Decision Making and Cognition Decision Making and Modelling in Cognitive Science, 10.1007/978-81-322-3622-1_4, (75-99), .

Zeng W and Zahn P (2016) Contextuality and the Weak Axiom in the Theory of Choice Quantum Interaction, 10.1007/978-3-319-28675-4_3, (24-35), .

Gunji Y, Sonoda K and Basios V (2016) Quantum cognition based on an ambiguous representation derived from a rough set approximation, Biosystems, 10.1016/j.biosystems.2015.12.003, 141, (55-66), Online publication date: 1-Mar-2016.

Boyer-Kassem T, Duchêne S and Guerci E (2016) Testing quantum-like models of judgment for question order effect, Mathematical Social Sciences, 10.1016/j.mathsocsci.2016.01.001, 80, (33-46), Online publication date: 1-Mar-2016.

Martínez-Martínez I and Sánchez-Burillo E (2016) Quantum stochastic walks on networks for decision-making, Scientific Reports, 10.1038/srep23812, 6:1, Online publication date: 1-Jul-2016.

Filk T (2016) Non-Classical Probabilities from Pilot Wave Models Quantum Interaction, 10.1007/978-3-319-28675-4_7, (88-100), .

Yearsley J and Busemeyer J (2016) Quantum cognition and decision theories: A tutorial, Journal of Mathematical Psychology, 10.1016/j.jmp.2015.11.005, 74, (99-116), Online publication date: 1-Oct-2016.

Baladrón C and Khrennikov A (2016) Quantum formalism as an optimisation procedure of information flows for physical and biological systems, Biosystems, 10.1016/j.biosystems.2016.08.009, 150, (13-21), Online publication date: 1-Dec-2016.

Haven E and Sozzo S (2016) A generalized probability framework to model economic agents' decisions under uncertainty, International Review of Financial Analysis, 10.1016/j.irfa.2015.12.002, 47, (297-303), Online publication date: 1-Oct-2016.

Aerts D and Sozzo S (2016) From ambiguity aversion to a generalized expected utility. Modeling preferences in a quantum probabilistic framework, Journal of Mathematical Psychology, 10.1016/j.jmp.2016.02.007, 74, (117-127), Online publication date: 1-Oct-2016.

Römer H (2016) Generalized Quantum Theory, Contextual Emergence and Non-Hierarchic Alternatives Quantum Interaction, 10.1007/978-3-319-28675-4_12, (157-167), .

Naruse M, Berthel M, Drezet A, Huant S, Hori H and Kim S (2016) Single Photon in Hierarchical Architecture for Physical Decision Making: Photon Intelligence, ACS Photonics, 10.1021/acsphotonics.6b00742, 3:12, (2505-2514), Online publication date: 21-Dec-2016.

Boyer-Kassem T, Duchêne S and Guerci E (2016) Quantum-like models cannot account for the conjunction fallacy, Theory and Decision, 10.1007/s11238-016-9549-9, 81:4, (479-510), Online publication date: 1-Nov-2016.

Martínez-Martínez I, Denolf J and Barque-Duran A (2016) Do Preferences and Beliefs in Dilemma Games Exhibit Complementarity? Quantum Interaction, 10.1007/978-3-319-28675-4_11, (142-153), .

Khrennikova P (2016) Application of quantum master equation for long-term prognosis of asset-prices, Physica A: Statistical Mechanics and its Applications, 10.1016/j.physa.2015.12.135, 450, (253-263), Online publication date: 1-May-2016.

Bagarello F (2015) A Quantum-Like View to a Generalized Two Players Game, International Journal of Theoretical Physics, 10.1007/s10773-015-2599-x, 54:10, (3612-3627), Online publication date: 1-Oct-2015.

Khrennikov A and Basieva I (2015) Quantum(-Like) Decision Making: On Validity of the Aumann Theorem Quantum Interaction, 10.1007/978-3-319-15931-7_9, (105-118), .

White L, Pothos E and Busemeyer J (2015) Insights from quantum cognitive models for organizational decision making, Journal of Applied Research in Memory and Cognition, 10.1016/j.jarmac.2014.11.002, 4:3, (229-238), Online publication date: 1-Sep-2015.

Ashtiani M and Azgomi M (2015) A survey of quantum-like approaches to decision making and cognition, Mathematical Social Sciences, 10.1016/j.mathsocsci.2015.02.004, 75, (49-80), Online publication date: 1-May-2015.

Busemeyer J and Wang Z (2015) What Is Quantum Cognition, and How Is It Applied to Psychology?, Current Directions in Psychological Science, 10.1177/0963721414568663, 24:3, (163-169), Online publication date: 1-Jun-2015.

Yearsley J and Pothos E (2015) Towards an Empirical Test of Realism in Cognition Quantum Interaction, 10.1007/978-3-319-15931-7_21, (271-282), .

Khrennikov A (2015) Quantum version of Aumann’s approach to common knowledge: Sufficient conditions of impossibility to agree on disagree, Journal of Mathematical Economics, 10.1016/j.jmateco.2015.06.018, 60, (89-104), Online publication date: 1-Oct-2015.

Asano M, Khrennikov A, Ohya M, Tanaka Y and Yamato I (2015) Introduction Quantum Adaptivity in Biology: From Genetics to Cognition, 10.1007/978-94-017-9819-8_1, (1-11), .

Bruza P, Wang Z and Busemeyer J (2015) Quantum cognition: a new theoretical approach to psychology, Trends in Cognitive Sciences, 10.1016/j.tics.2015.05.001, 19:7, (383-393), Online publication date: 1-Jul-2015.

Sozzo S (2015) Conjunction and negation of natural concepts: A quantum-theoretic modeling, Journal of Mathematical Psychology, 10.1016/j.jmp.2015.01.005, 66, (83-102), Online publication date: 1-Jun-2015.

Aerts D and Sassoli de Bianchi M (2015) The unreasonable success of quantum probability I: Quantum measurements as uniform fluctuations, Journal of Mathematical Psychology, 10.1016/j.jmp.2015.01.003, 67, (51-75), Online publication date: 1-Aug-2015.

Kárný M and Guy T (2015) On the Origins of Imperfection and Apparent Non-rationality Decision Making: Uncertainty, Imperfection, Deliberation and Scalability, 10.1007/978-3-319-15144-1_3, (55-89), .

Aerts D and Sozzo S (2015) Modeling Concept Combinations in a Quantum-Theoretic Framework Advances in Cognitive Neurodynamics (IV), 10.1007/978-94-017-9548-7_55, (393-399), .

Yukalov V and Sornette D (2015) Role of Information in Decision Making of Social Agents, International Journal of Information Technology & Decision Making, 10.1142/S0219622014500564, 14:05, (1129-1166), Online publication date: 1-Sep-2015.

Khrennikova P (2015) Quantum Like Modelling of the Nonseparability of Voters’ Preferences in the U.S. Political System Quantum Interaction, 10.1007/978-3-319-15931-7_16, (196-209), .

Aerts D and Sassoli de Bianchi M (2015) The unreasonable success of quantum probability II: Quantum measurements as universal measurements, Journal of Mathematical Psychology, 10.1016/j.jmp.2015.05.001, 67, (76-90), Online publication date: 1-Aug-2015.

Yearsley J and Pothos E (2014) Challenging the classical notion of time in cognition: a quantum perspective, Proceedings of the Royal Society B: Biological Sciences, 281:1781, Online publication date: 22-Apr-2014.

Hu Y and Loo C (2014) A Generalized Quantum-Inspired Decision Making Model for Intelligent Agent, The Scientific World Journal, 10.1155/2014/240983, 2014, (1-8), .

Aerts D, Sozzo S and Tapia J (2014) Identifying Quantum Structures in the Ellsberg Paradox, International Journal of Theoretical Physics, 10.1007/s10773-014-2086-9, 53:10, (3666-3682), Online publication date: 1-Oct-2014.

Moreira C and Wichert A (2014) Interference effects in quantum belief networks, Applied Soft Computing, 10.1016/j.asoc.2014.09.008, 25, (64-85), Online publication date: 1-Dec-2014.

Aerts D and Sozzo S (2014) Entanglement Zoo I: Foundational and Structural Aspects Quantum Interaction, 10.1007/978-3-662-45912-6_8, (84-96), .

Busemeyer J, Wang Z, Khrennikov A and Basieva I (2014) Applying quantum principles to psychology, Physica Scripta, 10.1088/0031-8949/2014/T163/014007, T163, (014007), Online publication date: 1-Dec-2014.

ASHTIANI M and AZGOMI M (2015) CONTEXTUALITY, INCOMPATIBILITY AND BIASED INFERENCE IN A QUANTUM-LIKE FORMULATION OF COMPUTATIONAL TRUST, Advances in Complex Systems, 10.1142/S0219525914500209, 17:05, (1450020), Online publication date: 1-Oct-2014.

Di Nunzio G, Bruza P and Sitbon L (2014) Interference in Text Categorisation Experiments Quantum Interaction, 10.1007/978-3-642-54943-4_3, (22-33), .

Aerts D, Broekaert J, Czachor M, Kuna M, Sinervo B and Sozzo S (2014) Quantum structure in competing lizard communities, Ecological Modelling, 10.1016/j.ecolmodel.2014.02.009, 281, (38-51), Online publication date: 1-Jun-2014.

White L, Pothos E and Busemeyer J (2014) Sometimes it does hurt to ask: The constructive role of articulating impressions, Cognition, 10.1016/j.cognition.2014.05.015, 133:1, (48-64), Online publication date: 1-Oct-2014.

Sozzo S (2014) A quantum probability explanation in Fock space for borderline contradictions, Journal of Mathematical Psychology, 10.1016/j.jmp.2013.11.001, 58, (1-12), Online publication date: 1-Jan-2014.

Aerts D and Sozzo S (2014) Entanglement Zoo II: Examples in Physics and Cognition Quantum Interaction, 10.1007/978-3-642-54943-4_9, (97-109), .

Khrennikova P (2014) A Quantum Framework for ‘Sour Grapes’ in Cognitive Dissonance Quantum Interaction, 10.1007/978-3-642-54943-4_24, (270-280), .

Sornette D (2014) Physics and financial economics (1776–2014): puzzles, Ising and agent-based models, Reports on Progress in Physics, 10.1088/0034-4885/77/6/062001, 77:6, (062001), Online publication date: 1-Jun-2014.

Di Nunzio G, Bruza P and Sitbon L (2014) Interference in Text Categorisation Experiments Quantum Interaction, 10.1007/978-3-662-45912-6_3, (22-33), .

Aerts D, Broekaert J, Sozzo S and Veloz T (2014) Meaning–Focused and Quantum–Inspired Information Retrieval Quantum Interaction, 10.1007/978-3-662-45912-6_7, (71-83), .

Kong X and Xu F Decision, Uncertainty and Cooperation: A Behavioral Interpretation Based on Quantum Strategy, SSRN Electronic Journal, 10.2139/ssrn.2576583

Pothos E, Shiffrin R and Busemeyer J (2014) The dynamics of decision making when probabilities are vaguely specified, Journal of Mathematical Psychology, 10.1016/j.jmp.2013.09.001, 59, (6-17), Online publication date: 1-Apr-2014.

YUKALOV V and SORNETTE D (2014) SELF-ORGANIZATION IN COMPLEX SYSTEMS AS DECISION MAKING, Advances in Complex Systems, 10.1142/S0219525914500167, 17:03n04, (1450016), Online publication date: 1-Jul-2014.

Aerts D and Sozzo S (2014) Entanglement Zoo II: Examples in Physics and Cognition Quantum Interaction, 10.1007/978-3-662-45912-6_9, (97-109), .

Aerts D and Sozzo S (2013) Quantum Entanglement in Concept Combinations, International Journal of Theoretical Physics, 10.1007/s10773-013-1946-z, 53:10, (3587-3603), Online publication date: 1-Oct-2014.

Aerts D and Sozzo S (2014) Entanglement Zoo I: Foundational and Structural Aspects Quantum Interaction, 10.1007/978-3-642-54943-4_8, (84-96), .

Khrennikov A and Basieva I (2014) Possibility to agree on disagree from quantum information and decision making, Journal of Mathematical Psychology, 10.1016/j.jmp.2014.09.003, 62-63, (1-15), Online publication date: 1-Oct-2014.

Sornette D Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based Models, SSRN Electronic Journal, 10.2139/ssrn.2421155

Aerts D, Broekaert J, Sozzo S and Veloz T (2014) Meaning–Focused and Quantum–Inspired Information Retrieval Quantum Interaction, 10.1007/978-3-642-54943-4_7, (71-83), .

Khrennikova P (2014) Order effect in a study on US voters’ preferences: quantum framework representation of the observables, Physica Scripta, 10.1088/0031-8949/2014/T163/014010, T163, (014010), Online publication date: 1-Dec-2014.

Martínez-Martínez I (2014) A connection between quantum decision theory and quantum games: The Hamiltonian of Strategic Interaction, Journal of Mathematical Psychology, 10.1016/j.jmp.2013.12.004, 58, (33-44), Online publication date: 1-Jan-2014.

Wang Z, Busemeyer J, Atmanspacher H and Pothos E (2013) The Potential of Using Quantum Theory to Build Models of Cognition, Topics in Cognitive Science, 10.1111/tops.12043, (n/a-n/a), Online publication date: 1-Sep-2013.

Garg V and Camp J Heuristics and Biases: Implications for Security Design, IEEE Technology and Society Magazine, 10.1109/MTS.2013.2241294, 32:1, (73-79)

Fuss I and Navarro D (2013) Open Parallel Cooperative and Competitive Decision Processes: A Potential Provenance for Quantum Probability Decision Models, Topics in Cognitive Science, 10.1111/tops.12045, (n/a-n/a), Online publication date: 1-Sep-2013.

Krueger J (2013) Social Projection as a Source of Cooperation, Current Directions in Psychological Science, 10.1177/0963721413481352, 22:4, (289-294), Online publication date: 1-Aug-2013.

Román P and Velásquez J (2013) Cognitive Science forWeb Usage Analysis Advanced Techniques in Web Intelligence-2, 10.1007/978-3-642-33326-2_3, (35-73), .

Pothos E and Busemeyer J (2013) Quantum principles in psychology: The debate, the evidence, and the future, Behavioral and Brain Sciences, 10.1017/S0140525X12003226, 36:3, (310-327), Online publication date: 1-Jun-2013.

Wang Z and Busemeyer J (2013) A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction , Topics in Cognitive Science, 10.1111/tops.12040, (n/a-n/a), Online publication date: 1-Sep-2013.

Pothos E and Busemeyer J (2013) Can quantum probability provide a new direction for cognitive modeling?, Behavioral and Brain Sciences, 10.1017/S0140525X12001525, 36:3, (255-274), Online publication date: 1-Jun-2013.

Agrawal P and Sharda R (2013) OR Forum—Quantum Mechanics and Human Decision Making, Operations Research, 10.1287/opre.1120.1068, 61:1, (1-16), Online publication date: 1-Feb-2013.

Beauvais F (2013) A quantum-like model of homeopathy clinical trials: importance of in situ randomization and unblinding, Homeopathy, 10.1016/j.homp.2013.02.006, 102:2, (106-113), Online publication date: 1-Apr-2013.

Blutner R, Pothos E and Bruza P (2013) A Quantum Probability Perspective on Borderline Vagueness, Topics in Cognitive Science, 10.1111/tops.12041, (n/a-n/a), Online publication date: 1-Sep-2013.

KITTO K and BOSCHETTI F (2013) ATTITUDES, IDEOLOGIES AND SELF-ORGANIZATION: INFORMATION LOAD MINIMIZATION IN MULTI-AGENT DECISION MAKING, Advances in Complex Systems, 10.1142/S021952591350029X, 16:02n03, (1350029), Online publication date: 1-May-2013.

Hinterberger T and von Stillfried N (2012) The Concept of Complementarity and its Role in Quantum Entanglement and Generalized Entanglement, Axiomathes, 10.1007/s10516-012-9187-y, 23:3, (443-459), Online publication date: 1-Sep-2013.

Aerts D, Gabora L and Sozzo S (2013) Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought, Topics in Cognitive Science, 10.1111/tops.12042, 5:4, (737-772), Online publication date: 1-Oct-2013.

Brainerd C, Wang Z and Reyna V (2013) Superposition of Episodic Memories: Overdistribution and Quantum Models, Topics in Cognitive Science, 10.1111/tops.12039, (n/a-n/a), Online publication date: 1-Sep-2013.

Nelson D, Kitto K, Galea D, McEvoy C and Bruza P (2013) How activation, entanglement, and searching a semantic network contribute to event memory, Memory & Cognition, 10.3758/s13421-013-0312-y, 41:6, (797-819), Online publication date: 1-Aug-2013.

Camparo J (2013) A geometrical approach to the ordinal data of Likert scaling and attitude measurements: The density matrix in psychology, Journal of Mathematical Psychology, 10.1016/j.jmp.2013.02.004, 57:1-2, (29-42), Online publication date: 1-Feb-2013.

Cadogan G Group Representations for Decision Making under Risk and Uncertainty, SSRN Electronic Journal, 10.2139/ssrn.2189880

Atmanspacher H and Römer H (2012) Order effects in sequential measurements of non-commuting psychological observables, Journal of Mathematical Psychology, 10.1016/j.jmp.2012.06.003, 56:4, (274-280), Online publication date: 1-Aug-2012.

Cheon T and Takahashi T (2012) Quantum Phenomenology of Conjunction Fallacy, Journal of the Physical Society of Japan, 10.1143/JPSJ.81.104801, 81:10, (104801), Online publication date: 15-Oct-2012.

Krueger J, DiDonato T and Freestone D (2012) Social Projection Can Solve Social Dilemmas, Psychological Inquiry, 10.1080/1047840X.2012.641167, 23:1, (1-27), Online publication date: 1-Jan-2012.

Busemeyer J and Pothos E (2012) Social Projection and a Quantum Approach for Behavior in Prisoner's Dilemma, Psychological Inquiry, 10.1080/1047840X.2012.652488, 23:1, (28-34), Online publication date: 1-Jan-2012.

Wagenmakers E, van der Maas H and Farrell S (2011) Abstract Concepts Require Concrete Models: Why Cognitive Scientists Have Not Yet Embraced Nonlinearly Coupled, Dynamical, Self-Organized Critical, Synergistic, Scale-Free, Exquisitely Context-Sensitive, Interaction-Dominant, Multifractal, Interdependent B, Topics in Cognitive Science, 10.1111/j.1756-8765.2011.01164.x, 4:1, (87-93), Online publication date: 1-Jan-2012.

Trueblood J and Busemeyer J (2012) Quantum Information Processing Theory Encyclopedia of the Sciences of Learning, 10.1007/978-1-4419-1428-6_559, (2748-2751), .

Krueger J, Freestone D and DiDonato T (2012) Twilight of a Dilemma: A Réplique, Psychological Inquiry, 10.1080/1047840X.2012.666930, 23:1, (85-100), Online publication date: 1-Jan-2012.

Asano M, Basieva I, Khrennikov A, Ohya M and Tanaka Y (2012) Quantum-Like Representation of Irrational Inference Quantum Interaction, 10.1007/978-3-642-35659-9_13, (138-147), .

Asano M, Basieva I, Khrennikov A, Ohya M, Tanaka Y and Yamato I (2012) Quantum-like model of diauxie in Escherichia coli: Operational description of precultivation effect, Journal of Theoretical Biology, 10.1016/j.jtbi.2012.08.022, 314, (130-137), Online publication date: 1-Dec-2012.

Busemeyer J, Wang Z and Trueblood J (2012) Hierarchical Bayesian Estimation of Quantum Decision Model Parameters Quantum Interaction, 10.1007/978-3-642-35659-9_8, (80-89), .

Li S, Jiang C, Dunn J and Wang Z (2012) A test of “reason-based” and “reluctance-to-think” accounts of the disjunction effect, Information Sciences, 10.1016/j.ins.2011.09.002, 184:1, (166-175), Online publication date: 1-Feb-2012.

Yukalov V and Sornette D Quantum Decision Making by Social Agents, SSRN Electronic Journal, 10.2139/ssrn.2018270

Asano M, Basieva I, Khrennikov A, Ohya M and Tanaka Y (2012) Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties, Journal of Mathematical Psychology, 10.1016/j.jmp.2012.02.003, 56:3, (166-175), Online publication date: 1-Jun-2012.

Trueblood J and Busemeyer J (2011) A Quantum Probability Account of Order Effects in Inference, Cognitive Science, 10.1111/j.1551-6709.2011.01197.x, 35:8, (1518-1552), Online publication date: 1-Nov-2011.

Aerts D, Broekaert J and Gabora L (2011) A case for applying an abstracted quantum formalism to cognition, New Ideas in Psychology, 10.1016/j.newideapsych.2010.06.002, 29:2, (136-146), Online publication date: 1-Aug-2011.

Asano M, Ohya M, Tanaka Y, Basieva I and Khrennikov A (2011) Quantum-like model of brain's functioning: Decision making from decoherence, Journal of Theoretical Biology, 10.1016/j.jtbi.2011.04.022, 281:1, (56-64), Online publication date: 1-Jul-2011.

Tarrataca L and Wichert A (2011) Problem-solving and Quantum Computation, Cognitive Computation, 10.1007/s12559-011-9103-6, 3:4, (510-524), Online publication date: 1-Dec-2011.

Aerts D, Broekaert J, Czachor M and D’Hooghe B (2011) A Quantum-Conceptual Explanation of Violations of Expected Utility in Economics Quantum Interaction, 10.1007/978-3-642-24971-6_19, (192-198), .

Cadogan G The Source of Uncertainty in Probabilistic Preferences Over Gambles, SSRN Electronic Journal, 10.2139/ssrn.1971954

Aerts D, D’Hooghe B and Sozzo S (2011) A Quantum Cognition Analysis of the Ellsberg Paradox Quantum Interaction, 10.1007/978-3-642-24971-6_10, (95-104), .

Pothos E, Perry G, Corr P, Matthew M and Busemeyer J (2011) Understanding cooperation in the Prisoner’s Dilemma game, Personality and Individual Differences, 10.1016/j.paid.2010.05.002, 51:3, (210-215), Online publication date: 1-Aug-2011.

Asano M, Ohya M, Tanaka Y, Yamato I, Basieva I and Khrennikov A (2011) Quantum-Like Paradigm: From Molecular Biology to Cognitive Psychology Quantum Interaction, 10.1007/978-3-642-24971-6_18, (182-191), .

Agrawal P and Sharda R Quantum Mechanics and Human Decision Making, SSRN Electronic Journal, 10.2139/ssrn.1653911

Shiffrin R (2010) Perspectives on Modeling in Cognitive Science, Topics in Cognitive Science, 10.1111/j.1756-8765.2010.01092.x, 2:4, (736-750), Online publication date: 1-Oct-2010.

Cheon T and Takahashi T (2010) Interference and inequality in quantum decision theory, Physics Letters A, 10.1016/j.physleta.2010.10.063, 375:2, (100-104), Online publication date: 1-Dec-2010.

Hanauske M, Kunz J, Bernius S and König W (2010) Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises, Physica A: Statistical Mechanics and its Applications, 10.1016/j.physa.2010.06.007, 389:21, (5084-5102), Online publication date: 1-Nov-2010.

Blutner R and Hochnadel E (2010) Two qubits for C.G. Jung’s theory of personality, Cognitive Systems Research, 10.1016/j.cogsys.2009.12.002, 11:3, (243-259), Online publication date: 1-Sep-2010.

Kunz J, Bernius S, Koenig W and Hanauske M Doves and Hawks in Economics Revisited: An Evolutionary Quantum Game Theory-Based Analysis of Financial Crises, SSRN Electronic Journal, 10.2139/ssrn.1597735

Aerts D, D’Hooghe B and Haven E (2010) Quantum Experimental Data in Psychology and Economics, International Journal of Theoretical Physics, 10.1007/s10773-010-0477-0, 49:12, (2971-2990), Online publication date: 1-Dec-2010.

Busemeyer J, Wang Z and Lambert-Mogiliansky A (2009) Empirical comparison of Markov and quantum models of decision making, Journal of Mathematical Psychology, 10.1016/j.jmp.2009.03.002, 53:5, (423-433), Online publication date: 1-Oct-2009.

Aerts D (2009) Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory, Foundations of Science, 10.1007/s10699-009-9166-y, 14:4, (361-411), Online publication date: 1-Nov-2009.

Bruza P, Busemeyer J and Gabora L (2009) Introduction to the special issue on quantum cognition, Journal of Mathematical Psychology, 10.1016/j.jmp.2009.06.002, 53:5, (303-305), Online publication date: 1-Oct-2009.

Beltran L (2021) Quantum Bose–Einstein Statistics for Indistinguishable Concepts in Human Language, Foundations of Science, 10.1007/s10699-021-09794-1

Rafaï I, Duchêne S, Guerci E, Basieva I and Khrennikov A (2021) The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus, Theory and Decision, 10.1007/s11238-021-09823-2

Khrennikov A (2015) Towards Information Lasers, Entropy, 10.3390/e17106969, 17:12, (6969-6994)

Khrennikov A (2015) Quantum-like modeling of cognition, Frontiers in Physics, 10.3389/fphy.2015.00077, 3

Imannezhad P and Ahanj A (2020) A Quantum Cognition Analysis of Human Behaviour by Hardy’s Non-locality Argument, Axiomathes, 10.1007/s10516-020-09502-x

Khrennikov A, Alodjants A, Trofimova A and Tsarev D (2018) On Interpretational Questions for Quantum-Like Modeling of Social Lasing, Entropy, 10.3390/e20120921, 20:12, (921)

Khrennikov A (2020) Social Laser Model for the Bandwagon Effect: Generation of Coherent Information Waves, Entropy, 10.3390/e22050559, 22:5, (559)

Khrennikov A and Asano M (2020) A Quantum-Like Model of Information Processing in the Brain, Applied Sciences, 10.3390/app10020707, 10:2, (707)

Kitto K (2014) A Contextualised General Systems Theory, Systems, 10.3390/systems2040541, 2:4, (541-565)

Bruza P and Chang V (2014) Perceptions of document relevance, Frontiers in Psychology, 10.3389/fpsyg.2014.00612, 5

Balconi M and Vanutelli M (2016) Competition in the Brain. The Contribution of EEG and fNIRS Modulation and Personality Effects in Social Ranking, Frontiers in Psychology, 10.3389/fpsyg.2016.01587, 7

Hahn U (2014) The Bayesian boom: good thing or bad?, Frontiers in Psychology, 10.3389/fpsyg.2014.00765, 5

Wojciechowski B, Izydorczyk B, Blasiak P, Yearsley J, White L and Pothos E (2021) Constructive Biases in Clinical Judgment, Topics in Cognitive Science, 10.1111/tops.12547

Moreira C and Wichert A (2016) Quantum Probabilistic Models Revisited: The Case of Disjunction Effects in Cognition, Frontiers in Physics, 10.3389/fphy.2016.00026, 4

Goyal P and Knuth K (2011) Quantum Theory and Probability Theory: Their Relationship and Origin in Symmetry, Symmetry, 10.3390/sym3020171, 3:2, (171-206)

Moreira C, Haven E, Sozzo S, Wichert A and Wen F (2018) Process mining with real world financial loan applications: Improving inference on incomplete event logs, PLOS ONE, 10.1371/journal.pone.0207806, 13:12, (e0207806)

Wang Z, Busemeyer J and deBuys B (2021) Beliefs, Actions, and Rationality in Strategical Decisions, Topics in Cognitive Science, 10.1111/tops.12534

Aerts D, Sassoli de Bianchi M and Sozzo S (2016) On the Foundations of the Brussels Operational-Realistic Approach to Cognition, Frontiers in Physics, 10.3389/fphy.2016.00017, 4

Allahverdyan A, Galstyan A and Branas-Garza P (2014) Opinion Dynamics with Confirmation Bias, PLoS ONE, 10.1371/journal.pone.0099557, 9:7, (e99557)

Wichert A, Moreira C and Bruza P (2020) Balanced Quantum-Like Bayesian Networks, Entropy, 10.3390/e22020170, 22:2, (170)

Ozawa M and Khrennikov A (2019) Application of Theory of Quantum Instruments to Psychology: Combination of Question Order Effect with Response Replicability Effect, Entropy, 10.3390/e22010037, 22:1, (37)

Wojciechowski B and Pothos E (2018) Is There a Conjunction Fallacy in Legal Probabilistic Decision Making?, Frontiers in Psychology, 10.3389/fpsyg.2018.00391, 9

Wojciechowski B and Pothos E (2018) Corrigendum: Is There a Conjunction Fallacy in Legal Probabilistic Decision Making?, Frontiers in Psychology, 10.3389/fpsyg.2018.02281, 9

Khrennikov A and Watanabe N (2021) Order-Stability in Complex Biological, Social, and AI-Systems from Quantum Information Theory, Entropy, 10.3390/e23030355, 23:3, (355)

Jedlicka P (2017) Revisiting the Quantum Brain Hypothesis: Toward Quantum (Neuro)biology?, Frontiers in Molecular Neuroscience, 10.3389/fnmol.2017.00366, 10

Pothos E, Waddup O, Kouassi P and Yearsley J (2021) What Is Rational and Irrational in Human Decision Making, Quantum Reports, 10.3390/quantum3010014, 3:1, (242-252)

Moreira C and Wichert A (2016) Quantum-Like Bayesian Networks for Modeling Decision Making, Frontiers in Psychology, 10.3389/fpsyg.2016.00011, 7

Dehdashti S, Fell L and Bruza P (2020) On the Irrationality of Being in Two Minds, Entropy, 10.3390/e22020174, 22:2, (174)

Aerts D (2014) Quantum theory and human perception of the macro-world, Frontiers in Psychology, 10.3389/fpsyg.2014.00554, 5

This Issue

Proceedings of the Royal Society B: Biological Sciences cover image

22 June 2009

Volume 276Issue 1665

Article Information

DOI:https://doi.org/10.1098/rspb.2009.0121
PubMed:19324743
Published by:Royal Society
Print ISSN:0962-8452
Online ISSN:1471-2954

History:

Manuscript received23/01/2009
Manuscript accepted04/03/2009
Published online25/03/2009
Published in print22/06/2009

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