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Entropy
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Quantum Game Theory and Its Applications
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Quantum Game Theory and Its Applications

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 2942

Special Issue Editors

Prof. Dr. Constancio Arizmendi

E-Mail Website
Guest Editor
Instituto de Investigaciones Científicas y Tecnológicas en Electrónica (ICYTE), Av. Juan B. Justo 4302, Mar del Plata B7608, Argentina
Interests: quantum games; quantum communications; biophysics; statistical physics
Dr. Omar Gustavo Zabaleta

E-Mail Website
Guest Editor Assistant
ICYTE, Facultad de Ingenieria, Universidad Nacional de Mar del Plata, Mar del Plata 7600, Argentina
Interests: quantum games; quantum communications; quantum computers
Dr. Karina Irma Mazzitello

E-Mail Website
Guest Editor Assistant
Centro Atómico Bariloche, CONICET, 8400 S. C. de Bariloche, Río Negro, Argentina
Interests: quantum mechanics; quantum games; statistical mechanics

Special Issue Information

Dear Colleagues,

Quantum technologies are now able to be commercially utilized and quantum mechanics is becoming a relevant topic for both engineers and the public. Indeed, quantum random generators and quantum cryptography have been used for some time, IBM and Google have already built prototypes of quantum computers, and quantum networks might be a reality within the near future. Advances in quantum information processing also open up new opportunities, and the development of quantum technology uncovers new possibilities in terms of its utilization in the optimization of decision-making processes by means of quantum games.

Quantum games extend classical game theory to the quantum domain, in which entanglement and nonlocality generate behaviors different to their classical versions, which frequently leads players to achieve better outcomes in equilibria. The key to achieving a quantum advantage is in the nonlocal correlations generated by local measurements in the shared entangled states. In the last 20 years, numerous quantum game-based applications have been developed in a variety of fields, including communications, cryptography, finance, and computer science.  These and many more features related to quantum game theory and its application can be included in this Entropy Special Issue. We cordially invite you to participate.

Prof. Dr. Constancio Arizmendi
Guest Editor

Dr. Omar Gustavo Zabaleta
Dr. Karina Irma Mazzitello
Guest Editor Assistant

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 submissions that pass pre-check are 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. Entropy is an international peer-reviewed open access monthly 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 2600 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.

Keywords

  • quantum game theory
  • quantum computing
  • traffic congestion problem
  • finance
  • quantum communication systems
  • quantum communication protocols
  • quantum gates
  • decision making
  • quantum learning
  • quantum optimal transportation
  • population dynamics
  • repeated quantum game
  • quantum folk theorem
  • Bell nonlocality and Bayesian games
  • communication games and Bell test
  • Popescu–Rohrlich box

Published Papers (2 papers)

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Research

20 pages, 576 KiB  
Article
Dynamics of a Quantum Common-Pool Resource Game with Homogeneous Players’ Expectations
by Juan Grau-Climent, Luis García-Pérez, Ramon Alonso-Sanz and Juan Carlos Losada
Entropy 2023, 25(12), 1585; https://0-doi-org.brum.beds.ac.uk/10.3390/e25121585 - 25 Nov 2023
Viewed by 952
Abstract
In this work, we analyse a common-pool resource game with homogeneous players (both have boundedly rational expectations) and entanglement between players’ strategies. The quantum model with homogeneous expectations is a differential approach to the game since, to the best of our knowledge, it [...] Read more.
In this work, we analyse a common-pool resource game with homogeneous players (both have boundedly rational expectations) and entanglement between players’ strategies. The quantum model with homogeneous expectations is a differential approach to the game since, to the best of our knowledge, it has hardly been considered in previous works. The game is represented using a Cournot type payoff functions, limited to the maximum capacity of the resource. The behaviour of the dynamics is studied considering how the fixed points (particularly the Nash equilibrium) and the stability of the system vary depending on the different values of the parameters involved in the model. In the analysis of this game, it is especially relevant to consider the extent to which the resource is exploited, since the output of the players is highly affected by this issue. It is studied in which cases the resource can be overexploited, adjusting the parameters of the model to avoid this scenario when it is possible. The results are obtained from an analytical point of view and also graphically using bifurcation diagrams to show the behaviour of the dynamics. Full article
(This article belongs to the Special Issue Quantum Game Theory and Its Applications)
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20 pages, 2345 KiB  
Article
Maximizing Local Rewards on Multi-Agent Quantum Games through Gradient-Based Learning Strategies
by Agustin Silva, Omar Gustavo Zabaleta and Constancio Miguel Arizmendi
Entropy 2023, 25(11), 1484; https://0-doi-org.brum.beds.ac.uk/10.3390/e25111484 - 26 Oct 2023
Viewed by 1301
Abstract
This article delves into the complex world of quantum games in multi-agent settings, proposing a model wherein agents utilize gradient-based strategies to optimize local rewards. A learning model is introduced to focus on the learning efficacy of agents in various games and the [...] Read more.
This article delves into the complex world of quantum games in multi-agent settings, proposing a model wherein agents utilize gradient-based strategies to optimize local rewards. A learning model is introduced to focus on the learning efficacy of agents in various games and the impact of quantum circuit noise on the performance of the algorithm. The research uncovers a non-trivial relationship between quantum circuit noise and algorithm performance. While generally an increase in quantum noise leads to performance decline, we show that low noise can unexpectedly enhance performance in games with large numbers of agents under some specific circumstances. This insight not only bears theoretical interest, but also might have practical implications given the inherent limitations of contemporary noisy intermediate-scale quantum (NISQ) computers. The results presented in this paper offer new perspectives on quantum games and enrich our understanding of the interplay between multi-agent learning and quantum computation. Both challenges and opportunities are highlighted, suggesting promising directions for future research in the intersection of quantum computing, game theory and reinforcement learning. Full article
(This article belongs to the Special Issue Quantum Game Theory and Its Applications)
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