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In a one-off Minority game, when a group of players agree to collaborate they gain an advantage over the remaining players. We consider the advantage obtained in a quantum Minority game by a coalition sharing an initially entangled state…

Quantum Physics · Physics 2009-11-13 Adrian P. Flitney , Andrew D. Greentree

With the rapid development of quantum computers, several applications are being proposed for them. Quantum simulations, simulation of chemical reactions, solution of optimization problems and quantum neural networks (QNNs) are some…

Quantum Physics · Physics 2023-03-02 Lucas Friedrich , Jonas Maziero

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Random access codes have provided many examples of quantum advantage in communication, but concern only one kind of information retrieval task. We introduce a related task - the Torpedo Game - and show that it admits greater quantum…

Quantum Physics · Physics 2022-07-15 Pierre-Emmanuel Emeriau , Mark Howard , Shane Mansfield

Understanding the emergence and sustainability of cooperation is a fundamental problem in evolutionary biology and is frequently studied by the framework of evolutionary game theory. A very powerful mechanism to promote cooperation is…

Computer Science and Game Theory · Computer Science 2015-05-27 M. Brede

We consider the dynamics of player's strategies in repeated market games, where the selection of strategies is determined by a learning model. Prior theoretical analysis and experimental data show that after large number of plays the…

Analysis of PDEs · Mathematics 2015-09-21 Misha Perepelitsa

We analyse the role of degree of entanglement for Vaidman's game in a setting where the players share a set of partially entangled three-qubit states. Our results show that the entangled states combined with quantum strategies may not be…

Quantum Physics · Physics 2018-07-19 Hargeet Kaur , Atul Kumar

Spatial evolutionary games provide a valuable framework for elucidating the emergence and maintenance of cooperative behavior. However, most previous studies assume that individuals are profiteers and neglect to consider the effects of…

Computer Science and Game Theory · Computer Science 2025-11-25 Bin Pi , Minyu Feng , Liang-Jian Deng

In the evolving digital landscape, it is crucial to study the dynamics of cyberattacks and defences. This study uses an Evolutionary Game Theory (EGT) framework to investigate the evolutionary dynamics of attacks and defences in cyberspace.…

Computer Science and Game Theory · Computer Science 2025-05-27 Adeela Bashir , Zia Ush Shamszaman , Zhao Song , The Anh Han

The quest of this work is to present discussions of some fundamental questions of economics in the era of quantum technology, which require a treatment different from economics studied thus far in the literature. A study of quantum economic…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda , Shoto Aoki

Multi-agent learning algorithms have been shown to display complex, unstable behaviours in a wide array of games. In fact, previous works indicate that convergent behaviours are less likely to occur as the total number of agents increases.…

Computer Science and Game Theory · Computer Science 2024-03-26 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras

In this paper, we explore the susceptibility of the independent Q-learning algorithms (a classical and widely used multi-agent reinforcement learning method) to strategic manipulation of sophisticated opponents in normal-form games played…

Computer Science and Game Theory · Computer Science 2024-07-17 Yuksel Arslantas , Ege Yuceel , Muhammed O. Sayin

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez

The commonly used accumulated payoff scheme is not invariant with respect to shifts of payoff values when applied locally in degree-inhomogeneous population structures. We propose a suitably modified payoff scheme and we show both formally…

Physics and Society · Physics 2010-11-24 Leslie Luthi , Marco Tomassini , Enea Pestelacci

Quantum computing is expected to provide new promising approaches for solving the most challenging problems in material science, communication, search, machine learning and other domains. However, due to the decoherence and gate…

Quantum Physics · Physics 2020-04-22 Oleg M. Sotnikov , Vladimir V. Mazurenko

We study a generalisation of sabotage games, a model of dynamic network games introduced by van Benthem. The original definition of the game is inherently finite and therefore does not allow one to model infinite processes. We propose an…

Computer Science and Game Theory · Computer Science 2015-07-16 Thomas Brihaye , Gilles Geeraerts , Axel Haddad , Benjamin Monmege , Guillermo A. Pérez , Gabriel Renault

We continue our study of evolution in minority games by examining games in which agents with poorly performing strategies can trade in their strategies for new ones from a different strategy space. In the context of the games discussed in…

adap-org · Physics 2009-10-31 Yi Li , Rick Riolo , Robert Savit

We suggest a model of a multi-agent society of decision makers taking decisions being based on two criteria, one is the utility of the prospects and the other is the attractiveness of the considered prospects. The model is the…

Physics and Society · Physics 2018-01-17 V. I. Yukalov , E. P. Yukalova , D. Sornette

Non-transitivity can arise in games with three or more strategies $A,B,C$, when $A$ beats $B$, $B$ beats $C$, and $C$ beats $A$, ($A>B>C>A$). An example is the children's game \textquotedblleft rock, scissors, paper" ($R,S,P$) where…

Quantum Physics · Physics 2007-05-23 Michael Stohler , Ephraim Fischbach

We point out a flaw in the unfair case of the quantum Prisoner's Dilemma as introduced in the pioneering Letter "Quantum Games and Quantum Strategies" of Eisert, Wilkens and Lewenstein. It is not true that the so-called miracle move therein…

Quantum Physics · Physics 2019-11-22 Anthony Bordg , Yijun He