Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts

DOI10.1016/j.jmp.2009.01.007zbMath1178.91043OpenAlexW2047635856MaRDI QIDQ1044195

Emmanuel E. Haven, Andrei Yu. Khrennikov

Publication date: 11 December 2009

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmp.2009.01.007

zbMATH Keywords

ambiguity Ellsberg paradox contextual probability sure-thing principle information function financial arbitrage probability interference

Mathematics Subject Classification ID

Decision theory (91B06) Applications of statistical and quantum mechanics to economics (econophysics) (91B80) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

Testing quantum-like models of judgment for question order effect ⋮ Application of quantum master equation for long-term prognosis of asset-prices ⋮ Quantum-like dynamics of decision-making in prisoner's dilemma game ⋮ How do social norms and expectations about others influence individual behavior? A quantum model of self/other-perspective interaction in strategic decision-making ⋮ Negative probabilities and contextuality ⋮ A new method to predict the interference effect in quantum-like Bayesian networks ⋮ Quantum generalized observables framework for psychological data: a case of preference reversals in US elections ⋮ Non-Kolmogorovian approach to the context-dependent systems breaking the classical probability law ⋮ Quantum-like models cannot account for the conjunction fallacy ⋮ A quantum-like model of selection behavior ⋮ The use of action functionals within the quantum-like paradigm ⋮ The Ellsberg paradox: a challenge to quantum decision theory? ⋮ Modeling behavior of decision makers with the aid of algebra of qubit creation-annihilation operators ⋮ Exploring the relations between quantum-like Bayesian networks and decision-making tasks with regard to face stimuli ⋮ Quantum-like tunnelling and levels of arbitrage ⋮ Quantum experimental data in psychology and economics ⋮ Dynamical Markov decision-making model based on mass function to quantitatively predict interference effects ⋮ On the possibility to combine the order effect with sequential reproducibility for quantum measurements ⋮ Potential functions and the characterization of economics-based information ⋮ The unreasonable success of quantum probability. I: Quantum measurements as uniform fluctuations ⋮ The unreasonable success of quantum probability. II: Quantum measurements as universal measurements ⋮ Interference and inequality in quantum decision theory ⋮ Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties ⋮ A survey of quantum-like approaches to decision making and cognition ⋮ On Application of Gorini-Kossakowski-Sudarshan-Lindblad Equation in Cognitive Psychology ⋮ External Observer Reflections on QBism, Its Possible Modifications, and Novel Applications ⋮ \((H,\rho)\)-induced political dynamics: facets of the disloyal attitudes into the public opinion ⋮ Are quantum models for order effects quantum? ⋮ Uncertainty measurement with belief entropy on the interference effect in the quantum-like Bayesian networks ⋮ Quantum-like model of brain's functioning: decision making from decoherence ⋮ What is Quantum? Unifying Its Micro-physical and Structural Appearance ⋮ Quantum-like model of diauxie in \textit{Escherichia coli}: operational description of precultivation effect ⋮ Editorial: Introduction to quantum probability theory and its economic applications ⋮ Probability interference in expected utility theory ⋮ A quantum-probabilistic paradigm: non-consequential reasoning and state dependence in investment choice ⋮ Quantum version of Aumann's approach to common knowledge: sufficient conditions of impossibility to agree on disagree ⋮ Quantum particles as conceptual entities: a possible explanatory framework for quantum theory ⋮ Classical versus quantum probability: comments on the paper ``On universality of classical probability with contextually labeled random variables by E. Dzhafarov and M. Kon ⋮ Possibility to agree on disagree from quantum information and decision making ⋮ Quantum probability for modeling cognition, decision making, and artificial intelligence ⋮ The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus

Cites Work