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Evolutionary game theory has provided substantial contributions to explain the emergence of cooperation under unfavourable conditions in ecology, economics, and the social sciences. Recently, inspired by newly available empirical evidence…

Physics and Society · Physics 2026-04-09 Jaume Llabrés , Onkar Sadekar , Federico Malizia , Federico Battiston

A quantum walk places a traverser into a superposition of both graph location and traversal "spin." The walk is defined by an initial condition, an evolution determined by a unitary coin/shift-operator, and a measurement based on the…

Quantum Physics · Physics 2015-11-25 Marko A. Rodriguez , Jennifer H. Watkins

A quantum system with variables in Z(d) is considered. Coherent density matrices and coherent projectors of rank n are introduced, and their properties (e.g., the resolution of the identity) are dis- cussed. Cooperative game theory and in…

Mathematical Physics · Physics 2017-03-08 A. Vourdas

This paper coins the notion of Joker games, a variant of concurrent games where the players are not strictly adversarial. Instead, Player 1 can get help from Player 2 by playing a Joker move. We formalize these games as cost games and…

Computer Science and Game Theory · Computer Science 2025-03-26 Petra van den Bos , Marielle Stoelinga

In recent years methods have been proposed to extend classical game theory into the quantum domain. This paper explores further extensions of these ideas that may have a substantial potential for further research. Upon reformulating quantum…

Quantum Physics · Physics 2007-05-23 F. M. C. Witte

Dynamics of evolutionary games strongly depend on underlying networks. We study the coevolutionary prisoner's dilemma in which players change their local networks as well as strategies (i.e., cooperate or defect). This topic has been…

Physics and Society · Physics 2011-01-25 Yoshimi Yoshino , Naoki Masuda

Enormous successes have been made by quantum algorithms during the last decade. In this paper, we combine the quantum game with the problem of data clustering, and then develop a quantum-game-based clustering algorithm, in which data points…

Machine Learning · Computer Science 2015-05-13 Qiang Li , Yan He , Jing-ping Jiang

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history and basic ideas of quantum game theory. Description of Giffen paradoxes…

Condensed Matter · Physics 2014-10-13 J. Sladkowski

The evolution of information and communication technologies has yielded the means of sharing measurements and other information in an efficient and flexible way, which has enabled the size and complexity of control applications to increase.…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Filiberto Fele , José M. Maestre , Eduardo F. Camacho

We investigate the global chirality distribution of the quantum walk on the line when decoherence is introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. The first…

Quantum Physics · Physics 2015-05-19 Alejandro Romanelli , Guzmán Hernández

One can view quantum mechanics as a generalization of classical probability theory that provides for pairwise interference among alternatives. Adopting this perspective, we ``quantize'' the classical random walk by finding, subject to a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Xavier Martin , Denjoe O'Connor , R. D. Sorkin

Quantum pseudo-telepathy games are good examples of explaining the strangeness of quantum mechanics and demonstrating the advantage of quantum resources over classical resources. Most of the quantum pseudo-telepathy games are common…

Quantum Physics · Physics 2019-05-13 Haozhen Situ , Cai Zhang , Fang Yu

We investigate the effect of randomness in both relationships and decisions on the evolution of cooperation. Simulation results show, in such randomness' presence, the system evolves to a more frequency cooperation state than in its…

Other Condensed Matter · Physics 2007-05-23 Jie Ren , Wen-Xu Wang , Feng Qi

Theory of quantum games is a new area of investigation that has gone through rapid development during the last few years. Initial motivation for playing games, in the quantum world, comes from the possibility of re-formulating quantum…

Quantum Physics · Physics 2007-05-23 Azhar Iqbal

This paper consider the possibility of using some quantum tools in decision making strategies. In particular, we consider here a dynamical open quantum system helping two players, $\G_1$ and $\G_2$, to take their decisions in a specific…

Physics and Society · Physics 2015-06-24 Fabio Bagarello

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

We introduce a game to illustrate the principles of quantum mechanics using a qubit (or spin-first) approach, where students can experience and discover its puzzling features first-hand. Students take the role of particles and scientists.…

Physics Education · Physics 2019-01-24 Andrea López-Incera , Wolfgang Dür

Understanding the emergence of cooperation in social networks has advanced through pairwise interactions, but the corresponding theory for group-based public goods games (PGGs) remains less explored. Here, we provide theoretical conditions…

Computer Science and Game Theory · Computer Science 2026-02-11 Chaoqian Wang , Qi Su

Addressing both natural and societal challenges requires collective cooperation. Studies on collective-risk social dilemmas have shown that individual decisions are influenced by the perceived risk of collective failure. However, existing…

Adaptation and Self-Organizing Systems · Physics 2026-03-26 Lichen Wang , Shijia Hua , Yuyuan Liu , Liang Zhang , Linjie Liu , Attila Szolnoki

We quantize prisoners dilemma and chicken game by our generalized quantization scheme to explore the role of quantum discord in quantum games. In order to establish this connection we use Werner-like state as an initial state of the game.…

Quantum Physics · Physics 2015-03-17 Ahmad Nawaz , A. H. Toor
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