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  1. An Alternative Foundation of Quantum Theory.Inge S. Helland - 2023 - Foundations of Physics 54 (1):1-45.
    A new approach to quantum theory is proposed in this paper. The basis is taken to be theoretical variables, variables that may be accessible or inaccessible, i.e., it may be possible or impossible for an observer to assign arbitrarily sharp numerical values to them. In an epistemic process, the accessible variables are just ideal observations connected to an observer or to some communicating observers. Group actions are defined on these variables, and group representation theory is the basis for developing the (...)
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  • Can resources save rationality? ‘Anti-Bayesian’ updating in cognition and perception.Eric Mandelbaum, Isabel Won, Steven Gross & Chaz Firestone - 2020 - Behavioral and Brain Sciences 143:e16.
    Resource rationality may explain suboptimal patterns of reasoning; but what of “anti-Bayesian” effects where the mind updates in a direction opposite the one it should? We present two phenomena — belief polarization and the size-weight illusion — that are not obviously explained by performance- or resource-based constraints, nor by the authors’ brief discussion of reference repulsion. Can resource rationality accommodate them?
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  • Quantum-like models cannot account for the conjunction fallacy.Thomas Boyer-Kassem, Sébastien Duchêne & Eric Guerci - 2016 - Theory and Decision 81 (4):479-510.
    Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities—this is the conjunction fallacy. One of the most discussed accounts of this fallacy is currently the quantum-like explanation, which relies on models exploiting the mathematics of quantum mechanics. The aim of this paper is to investigate the empirical adequacy of major quantum-like models which represent beliefs with quantum states. We first argue that they (...)
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  • Interference effects of categorization on decision making.Zheng Wang & Jerome R. Busemeyer - 2016 - Cognition 150 (C):133-149.
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  • Sometimes it does hurt to ask: The constructive role of articulating impressions.Lee C. White, Emmanuel M. Pothos & Jerome R. Busemeyer - 2014 - Cognition 133 (1):48-64.
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  • The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus.Andrei Khrennikov, Irina Basieva, Eric Guerci, Sébastien Duchêne & Ismaël Rafaï - 2021 - Theory and Decision 92 (2):387-406.
    Recently quantum probability theory started to be actively used in studies of human decision-making, in particular for the resolution of paradoxes (such as the Allais, Ellsberg, and Machina paradoxes). Previous studies were based on a cognitive metaphor of the quantum double-slit experiment—the basic quantum interference experiment. In this paper, we report on an economics experiment based on a triple-slit experiment design, where the slits are menus of alternatives from which one can choose. The test of nonclassicality is based on the (...)
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  • Quantum Theory of International Relations: Approaches and Possible Gains.Jakub Tesař - 2015 - Human Affairs 25 (4):486-502.
    This paper considers the possible application of quantum theory in political studies, especially in international relations. We introduce our classification based on three logical ways of how to connect areas so remote: through the relation of identity, analogy and metaphor which reflects three basic epistemic positions. Next, we review existing work against this classification before moving on to consider some of the uses and potential gains offered by quantum mind hypothesis, quantum models of reasoning and decisionmaking, and quantum metaphor.
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  • Preference reversal in quantum decision theory.Vyacheslav I. Yukalov & Didier Sornette - 2015 - Frontiers in Psychology 6.
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  • Can quantum probability provide a new direction for cognitive modeling?Emmanuel M. Pothos & Jerome R. Busemeyer - 2013 - Behavioral and Brain Sciences 36 (3):255-274.
    Classical (Bayesian) probability (CP) theory has led to an influential research tradition for modeling cognitive processes. Cognitive scientists have been trained to work with CP principles for so long that it is hard even to imagine alternative ways to formalize probabilities. However, in physics, quantum probability (QP) theory has been the dominant probabilistic approach for nearly 100 years. Could QP theory provide us with any advantages in cognitive modeling as well? Note first that both CP and QP theory share the (...)
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  • What are the appropriate axioms of rationality for reasoning under uncertainty with resource-constrained systems?Harald Atmanspacher, Irina Basieva, Jerome R. Busemeyer, Andrei Y. Khrennikov, Emmanuel M. Pothos, Richard M. Shiffrin & Zheng Wang - 2020 - Behavioral and Brain Sciences 43.
    When constrained by limited resources, how do we choose axioms of rationality? The target article relies on Bayesian reasoning that encounter serioustractabilityproblems. We propose another axiomatic foundation: quantum probability theory, which provides for less complex and more comprehensive descriptions. More generally, defining rationality in terms of axiomatic systems misses a key issue: rationality must be defined by humans facing vague information.
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  • Quantum cognition and bounded rationality.Reinhard Blutner & Peter Beim Graben - 2016 - Synthese 193 (10).
    We consider several puzzles of bounded rationality. These include the Allais- and Ellsberg paradox, the disjunction effect, and related puzzles. We argue that the present account of quantum cognition—taking quantum probabilities rather than classical probabilities—can give a more systematic description of these puzzles than the alternate treatments in the traditional frameworks of bounded rationality. Unfortunately, the quantum probabilistic treatment does not always provide a deeper understanding and a true explanation of these puzzles. One reason is that quantum approaches introduce additional (...)
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  • How Do Social Norms and Expectations About Others Influence Individual Behavior?: A Quantum Model of Self/other-perspective Interaction in Strategic Decision-Making.Jakub Tesar - 2020 - Foundations of Science 25 (1):135-150.
    Social norms can be understood as the grammar of social interaction. Like grammar in speech, they specify what is acceptable in a given context. But what are the specific rules that direct human compliance with the norm? This paper presents a quantitative model of self- and the other-perspective interaction based on a ‘quantum model of decision-making’, which can explain some of the ‘fallacies’ of the classical model of strategic choice. By connecting two fields of social science research—norms compliance, and strategic (...)
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  • A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction.Zheng Wang & Jerome R. Busemeyer - 2013 - Topics in Cognitive Science 5 (4):689-710.
    Question order effects are commonly observed in self-report measures of judgment and attitude. This article develops a quantum question order model (the QQ model) to account for four types of question order effects observed in literature. First, the postulates of the QQ model are presented. Second, an a priori, parameter-free, and precise prediction, called the QQ equality, is derived from these mathematical principles, and six empirical data sets are used to test the prediction. Third, a new index is derived from (...)
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  • Brainwave Phase Stability: Predictive Modeling of Irrational Decision.Zu-Hua Shan - 2022 - Frontiers in Psychology 13.
    A predictive model applicable in both neurophysiological and decision-making studies is proposed, bridging the gap between psychological/behavioral and neurophysiological studies. Supposing the electromagnetic waves are carriers of decision-making, and electromagnetic waves with the same frequency, individual amplitude and constant phase triggered by conditions interfere with each other and the resultant intensity determines the probability of the decision. Accordingly, brainwave-interference decision-making model is built mathematically and empirically test with neurophysiological and behavioral data. Event-related potential data confirmed the stability of the phase (...)
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  • Conditions for Quantum Interference in Cognitive Sciences.Vyacheslav I. Yukalov & Didier Sornette - 2014 - Topics in Cognitive Science 6 (1):79-90.
    We present a general classification of the conditions under which cognitive science, concerned, e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based on the theory of quantum measurements. We stress that quantum effects in cognition can arise only when decisions are made under uncertainty. Conditions for the appearance of quantum interference in cognitive sciences and the conditions when interference cannot arise are formulated.
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  • Quantum-Like Bayesian Networks for Modeling Decision Making.Catarina Moreira & Andreas Wichert - 2016 - Frontiers in Psychology 7.
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  • Toward a Physical Theory of Quantum Cognition.Taiki Takahashi - 2014 - Topics in Cognitive Science 6 (1):104-107.
    Recently, mathematical models based on quantum formalism have been developed in cognitive science. The target articles in this special issue of Topics in Cognitive Science clearly illustrate how quantum theoretical formalism can account for various aspects of human judgment and decision making in a quantitatively and mathematically rigorous manner. In this commentary, we show how future studies in quantum cognition and decision making should be developed to establish theoretical foundations based on physical theory, by introducing Taketani's three-stage theory of the (...)
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