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Ambiguity and ambiguity aversion have been widely studied in decision theory and economics both at a theoretical and an experimental level. After Ellsberg's seminal studies challenging subjective expected utility theory (SEUT), several…

Physics and Society · Physics 2018-03-20 Diederik Aerts , Sandro Sozzo

{\it Ellsberg thought experiments} and empirical confirmation of Ellsberg preferences pose serious challenges to {\it subjective expected utility theory} (SEUT). We have recently elaborated a quantum-theoretic framework for human decisions…

Artificial Intelligence · Computer Science 2019-02-20 Sandro Sozzo

Expected utility theory (EUT) is widely used in economic theory. However, its subjective probability formulation, first elaborated by Savage, is linked to Ellsberg-like paradoxes and ambiguity aversion. This has led various scholars to work…

Economics · Quantitative Finance 2019-02-12 Diederik Aerts , Emmanuel Haven , Sandro Sozzo

The Ellsberg and Machina paradoxes reveal that expected utility theory is problematical when real subjects take decisions under uncertainty. Suitable generalizations of expected utility exist which attempt to solve the Ellsberg paradox, but…

Physics and Society · Physics 2013-01-08 Diederik Aerts , Sandro Sozzo , Jocelyn Tapia

The 1961 Ellsberg paradox is typically seen as an empirical challenge to the subjective expected utility framework. Experiments based on Ellsberg's design have spawned a variety of new approaches, culminating in a new paradigm represented…

Theoretical Economics · Economics 2023-01-10 Christoph Kuzmics , Brian W. Rogers , Xiannong Zhang

We provide here a general mathematical framework to model attitudes towards ambiguity which uses the formalism of quantum theory as a ``purely mathematical formalism, detached from any physical interpretation''. We show that the…

Artificial Intelligence · Computer Science 2020-06-23 Sandro Sozzo

In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach…

Economics · Quantitative Finance 2018-07-18 Masanari Asano , Irina Basieva , Andrei Khrennikov , Masanori Ohya , Yoshiharu Tanaka

The 'expected utility hypothesis' and 'Savage's Sure-Thing Principle' are violated in real life decisions, as shown by the 'Allais' and 'Ellsberg paradoxes'. The popular explanation in terms of 'ambiguity aversion' is not completely…

Physics and Society · Physics 2013-01-07 Diederik Aerts , Sandro Sozzo

Despite the impressive success of quantum structures to model long-standing human judgement and decision puzzles, the {\it quantum cognition research programme} still faces challenges about its explanatory power. Indeed, quantum models…

Neurons and Cognition · Quantitative Biology 2019-04-05 Sandro Sozzo

The 'expected utility hypothesis' is one of the foundations of classical approaches to economics and decision theory and Savage's 'Sure-Thing Principle' is a fundamental element of it. It has been put forward that real-life situations…

Physics and Society · Physics 2012-03-28 Diederik Aerts , Bart D'Hooghe , Sandro Sozzo

Empirical evidence has confirmed that quantum effects occur frequently also outside the microscopic domain, while quantum structures satisfactorily model various situations in several areas of science, including biological, cognitive and…

Physics and Society · Physics 2015-12-31 Diederik Aerts , Sandro Sozzo , Jocelyn Tapia

The applications of techniques from statistical (and classical) mechanics to model interesting problems in economics and finance has produced valuable results. The principal movement which has steered this research direction is known under…

General Finance · Quantitative Finance 2015-11-23 Emmanuel Haven , Sandro Sozzo

Preferences for mixing can reveal ambiguity perception and attitude on a single event. The validity of the approach is discussed for multiple preference classes including maxmin, maxmax, variational, and smooth second-order preferences. An…

Econometrics · Economics 2024-08-16 Patrick Schmidt

The Allais and Ellsberg paradoxes show that the expected utility hypothesis and Savage's Sure-Thing Principle are violated in real life decisions. The popular explanation in terms of 'ambiguity aversion' is not completely accepted. On the…

Physics and Society · Physics 2013-01-08 Diederik Aerts , Sandro Sozzo

We conduct an incentivized experiment on a nationally representative US sample \\ (N=708) to test whether people prefer to avoid ambiguity even when it means choosing dominated options. In contrast to the literature, we find that 55\% of…

Theoretical Economics · Economics 2022-11-22 Brian Jabarian , Simon Lazarus

In this paper, we propose an interpretation of the Hilbert space method used in quantum theory in the context of decision making under uncertainty. For a clear comparison we will stay as close as possible to the framework of SEU suggested…

Quantum Physics · Physics 2017-07-25 Juergen Eichberger , Hans Juergen Pirner

Over the last years, in a series papers by Arrechi and others, a model for the cognitive processes involved in decision making has been proposed and investigated. The key element of this model is the expression of apprehension and…

Neurons and Cognition · Quantitative Biology 2015-11-20 Yukio-Pegio Gunji , Kohei Sonoda , Vasileios Basios

We propose a quantum-inspired framework to model subjective evaluation processes using state vectors in Hilbert space. In this approach, individual preferences are represented as cognitive states polarized between 'like' and 'dislike',…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Bumned Soodchomshom

Decision under ambiguity (uncertainty with unknown probabilities) has been attracting attention in behavioral and neuroeconomics. However, recent neuroimaging studies have mainly focused on gain domains while little attention has been paid…

Neurons and Cognition · Quantitative Biology 2012-11-27 Keigo Inukai , Taiki Takahashi

This paper provides the foundations of a unified cognitive decision-making framework (QulBIT) which is derived from quantum theory. The main advantage of this framework is that it can cater for paradoxical and irrational human decision…

Artificial Intelligence · Computer Science 2021-06-30 Catarina Moreira , Matheus Hammes , Rasim Serdar Kurdoglu , Peter Bruza
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