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We propose a quantum expected value theory for decision-making under uncertainty. Quantum density operator as value operator is proposed to simulate people's subjective beliefs. Value operator guides people to choose corresponding actions…

Physics and Society · Physics 2023-03-22 Lizhi Xin , Houwen Xin

The application of principles of Quantum Mechanics in areas outside of physics has been getting increasing attention in the scientific community in an emergent discipline called Quantum Cognition. These principles have been applied to…

Quantum Physics · Physics 2017-06-20 Catarina Moreira , Andreas Wichert

Recently the mathematical formalism of quantum mechanics, especially methods of quantum probability theory, started to be widely used in a variety of applications outside of physics, e.g., cognition and psychology as well as economy and…

Neurons and Cognition · Quantitative Biology 2018-07-18 Irina Basieva , Andrei Khrennikov

In this article we propose a qualitative (ordinal) counterpart for the Partially Observable Markov Decision Processes model (POMDP) in which the uncertainty, as well as the preferences of the agent, are modeled by possibility distributions.…

Artificial Intelligence · Computer Science 2013-01-30 Regis Sabbadin

A large number of studies in cognitive science have revealed that probabilistic outcomes of certain human decisions do not agree with the axioms of classical probability theory. The field of Quantum Cognition provides an alternative…

Information Retrieval · Computer Science 2020-01-22 Sagar Uprety , Prayag Tiwari , Shahram Dehdashti , Lauren Fell , Dawei Song , Peter Bruza , Massimo Melucci

Quantum theory provides a comprehensive framework for quantifying uncertainty, often applied in quantum finance to explore the stochastic nature of asset returns. This perspective likens returns to microscopic particle motion, governed by…

Mathematical Finance · Quantitative Finance 2024-01-12 Li Lin

This paper studies choice situations in which a decision maker can choose multiple alternatives. Given a menu of available options, the decision maker selects a subset of the menu with certain probabilities. We employ an axiomatic approach…

Theoretical Economics · Economics 2025-11-25 Tri Phu Vu

Mutually exclusive decisions have been studied for decades. Many well-known decision theories have been defined to help people either to make rational decisions or to interpret people's behaviors, such as expected utility theory, regret…

Economics · Quantitative Finance 2018-01-09 Pengyu Zhu

Behavioural economics provides labels for patterns in human economic behaviour. Probability weighting is one such label. It expresses a mismatch between probabilities used in a formal model of a decision (i.e. model parameters) and…

Theoretical Economics · Economics 2020-05-04 Ole Peters , Alexander Adamou , Mark Kirstein , Yonatan Berman

In this paper we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e.,…

Physics and Society · Physics 2007-09-03 Ariane Lambert-Mogiliansky , Shmuel Zamir , Herve Zwirn

We present models in which the indeterministic feature of Quantum Mechanics is represented in the form of definite physical mechanisms. Our way is completely different from so-called hidden parameter models, namely, we start from a certain…

Quantum Physics · Physics 2007-05-23 Jiri Soucek

The past few years have seen a surge in the application of quantum theory methodologies and quantum-like modeling in fields such as cognition, psychology, and decision-making. Despite the success of this approach in explaining various…

Physics and Society · Physics 2025-11-18 Andrei Khrennikov , Masanao Ozawa , Felix Benninger , Oded Shor

This article presents a new quantum-like model for cognition explicitly based on knowledge. It is shown that this model, called QKT (quantum knowledge-based theory), is able to coherently describe some experimental results that are…

Neurons and Cognition · Quantitative Biology 2016-11-29 Riccardo Franco

This paper serves as a bridge between quantum computing and analogical modeling (a general theory for predicting categories of behavior in varying contexts). Since its formulation in the early 1980s, analogical modeling has been…

Quantum Physics · Physics 2007-05-23 Royal Skousen

We study individual decision-making behavioral on generic view. Using a formal mathematical model, we investigate the action mechanism of decision behavioral under subjective perception changing of task attributes. Our model is built on…

General Economics · Economics 2018-09-14 Xingguang Chen

Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of particular candidates in a quantum election and the type of…

Quantum Physics · Physics 2015-05-27 Marcin Makowski , Edward W. Piotrowski

Several examples of Cyber-physical human systems (CPHS) include real-time decisions from humans as a necessary building block for the successful performance of the overall system. Many of these decision-making problems necessitate an…

General Economics · Economics 2022-10-17 Anuradha M. Annaswamy , Vineet Jagadeesan Nair

Quantum theory, despite its remarkable success, struggles to represent certain experimental data, particularly those involving integer functions and deterministic relations between quantum jumps. We address this limitation by proposing a…

Quantum Physics · Physics 2024-10-25 H. Ishikawa

We present an experimental illustration on the quantum sensitivity of decision making machinery. In the decision making process, we consider the role of available information, say hint, whether it influences the optimal choices. To the end,…

Quantum Physics · Physics 2019-05-15 Joong-Sung Lee , Jeongho Bang , Jinhyoung Lee , Kwang-Geol Lee

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