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The Machina thought experiments pose to major non-expected utility models challenges that are similar to those posed by the Ellsberg thought experiments to subjective expected utility theory (SEUT). We test human choices in the `Ellsberg…

Economics · Quantitative Finance 2018-08-09 Diederik Aerts , Suzette Geriente , Catarina Moreira , 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

{\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

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

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

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

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

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 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

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

Gilboa and Schmeidler's (1989) uncertainty aversion plays a central role in decision theory and economics, yet many inconsistent behaviors have been observed in experiments. Motivated by this, we study an axiom postulating a minimal degree…

Theoretical Economics · Economics 2025-08-22 Kensei Nakamura , Shohei Yanagita

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

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

A model for decision making that generalizes Expected Utility Maximization is presented. This model, Expected Qualitative Utility Maximization, encompasses the Maximin criterion. It relaxes both the Independence and the Continuity…

Computer Science and Game Theory · Computer Science 2007-05-23 Daniel Lehmann

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 influence of additional information on the decision making of agents, who are interacting members of a society, is analyzed within the mathematical framework based on the use of quantum probabilities. The introduction of social…

Physics and Society · Physics 2015-10-14 V. I. Yukalov , D. Sornette

Expected Utility: Algebraic Expected Utility In this paper, we provide two axiomatizations of algebraic expected utility, which is a particular generalized expected utility, in a von Neumann-Morgenstern setting, i.e. uncertainty…

Artificial Intelligence · Computer Science 2012-07-02 Paul Weng

In the present article we use the quantum formalism to describe the effects of risk and ambiguity in decision theory. The main idea is that the probabilities in the classic theory of expected utility are estimated probabilities, and thus do…

General Physics · Physics 2011-09-21 Riccardo Franco

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
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