Special Issue "The Close Connection between Economics and Quantum Theory: A Topological Exploration"
A special issue of Quantum Reports (ISSN 2624-960X).
Deadline for manuscript submissions: 31 July 2021.
Interests: Quantum Axioms; Topology; Mathematical Economics; International Trade and Development; Social Choice; Environmental Economics
Interests: quantum entanglement; global environmental issues; direct air capture of CO2; material physics; X-ray observations
Interests: quantum physics formalism applied to social science; quantum information; stochastic processes
Interests: quantum foundations, information, probability, and contextuality; applications of the mathematical formalism of quantum theory outside of physics: cognition, psychology, decision making, economics, finances, and social and political sciences; p-adic numbers; p-adic and ultrametric analysis; dynamical systems; p-adic theoretical physics; utrametric models of cognition and psychological behavior; p-adic models in geophysics and petroleum research
Special Issues and Collections in MDPI journals
Special Issue in Entropy: Quantum Mechanics: From Foundations to Information Technologies
Special Issue in Entropy: Quantum Probability and Randomness
Special Issue in Entropy: Towards Ultimate Quantum Theory (UQT)
Special Issue in Entropy: Quantum Information Revolution: Impact to Foundations
Special Issue in Entropy: Quantum Probability and Randomness II
Special Issue in Entropy: Quantum Models of Cognition and Decision-Making
Special Issue in Entropy: Quantum Probability and Randomness III
What is the key tenet that rationalizes why quantum formalism in social science and especially in social choice and decision-making can be used? This is a central question that has not been previously answered. In classic physics, events, when seen as sets in a sigma-algebra, are described by one sample space with a single basis of coordinates (one framework) as in classical probability. The concept of ‘unicity’ essentially indicates that a single framework can describe all observed events. However, in decision-making, there is no reason to believe there is only one framework, which can capture all events.
This Special Issue will collect research that is being performed around applying elements of the formalism of quantum mechanics to the social sciences. There will be a particular focus on the key tenet(s) that rationalize(s) why the quantum formalism can be used in economics (in social choice and decision-making). As a central objective, this Special Issue will rigorously explore the foundational connections between economics and quantum theory.
Prof. Dr. Graciela Chichilnisky
Prof. Dr. Peter Eisenberger
Prof. Dr. Emmanuel Haven
Prof. Dr. Andrei Khrennikov
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Quantum Reports is an international peer-reviewed open access quarterly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Decision making
- Social choice
- Classical probability
- Quantum probability
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Title: Why Quantum Techniques Are a Good First Approximation to Economic Phenomena and What Next
Authors: Vladik Kreinovich; Olga Kosheleva
Affiliation: Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA
Abstract: Somewhat surprisingly, several formulas of quantum physics -- the physics of micro-world -- provide a good first approximation to many social phenomena, in particular, to many economic phenomena, phenomena which are very far from micro-physics. In this paper, we provide three possible explanations for this surprising fact. First, we show that several formulas from quantum physics actually provide a good first-approximation description for many phenomena in general, not only to the phenomena of micro-physics. Second, we show that some quantum formulas represent the fastest way to compute nonlinear dependencies and thus, naturally appear when we look for easily computable models; in this aspect, there is a very strong similarity between quantum techniques and neural networks. Third, due to numerous practical applications of micro-phenomena, many problems related to quantum equations have been solved; so, when we use quantum techniques to describe social phenomena, we can utilize the numerous existing solutions -- which would not have been the case if we use other nonlinear techniques for which not many solutions are known. All this provides an explanation of why quantum techniques work reasonably well in economics. However, of course, economics is different from quantum world, quantum equations only provide a first approximation to economic situations. In this paper, we use the ideas behind our explanations to speculate on what should be the next -- not-exactly-quantum -- approximation to social and economic phenomena.
Title: Quantum-Like modelling of prisoner’s dilemma game: Quantum entanglement or classical entanglement?
Authors: Sudip Patra; Partha Ghose
Affiliation: OP Jindal Global University, India
Abstract: Quantum games or quantum-like modelling in game theory has by itself become a promising emerging field of study. However standard quantum games are fully based on the use of quantum technologies and the pure quantum entanglement design, which make such games difficult to play in more general scenarios. Recently though equivalences between quantum and mixed strategy classical games have been observed. We, in the current paper, propose that similar superior equilibria results can be obtained through less stringent design, namely by exploiting classical entanglement-based design, a phenomenon which is well established now in classical optics. We also extend our basic model to n players game, and dynamical games.
Title: Perspective taking, interference effects, and rationality in strategical decision making
Authors: Jerome R. Busemeyer; Zheng Wang
Affiliation: Indiana University, Bloomington, IN, USA (JRB) The Ohio State University, Columbus, OH, USA (ZW)
Abstract: Experimental research on strategic decision making has reported systematic interference effects that earlier predictions have on later actions. Stating a prediction about an opponent changes the total probability (pooled over predictions) of a player’s future action as compared to not stating any prediction. First, we review six different findings of interference effects from existing empirical work using prisoner's dilemma and centipede games. These interference effects are difficult to explain using traditional economic models, and instead these results suggest turning to a quantum cognition approach to strategic decision making. Then, we review seven proposed accounts for these interference effects in strategic decision making using quantum cognition theories.