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We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely…

Quantum Physics · Physics 2009-10-31 David A. Meyer

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

Quantum state targeting is a quantum game which results from combining traditional quantum state estimation with additional classical information. We consider a particular version of the game and show how it can be played with maximally…

Quantum Physics · Physics 2009-11-10 H. Bechmann-Pasquinucci

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

Information in the form of data, which can be stored and transferred between users, can be viewed as an intangible commodity, which can be traded in exchange for money. Determining the fair price at which a string of data should be traded…

Statistical Mechanics · Physics 2024-09-11 Luca Gamberi , Alessia Annibale , Pierpaolo Vivo

Quantum, in contrast to classical, information theory, allows for different incompatible types (or species) of information which cannot be combined with each other. Distinguishing these incompatible types is useful in understanding the role…

Quantum Physics · Physics 2009-11-13 Robert B. Griffiths

We address the following criterion for quantifying the quantum information resources: classically simulable {\it vs.} classically non-simulable information processing. This approach gives rise to existence of a deeper level of quantum…

Quantum Physics · Physics 2007-05-23 M. Dugic

Main papers on quantum games are written by physicists for physicists, and the inevitable exploitation of physics jargon may create difficulties for mathematicians or economists. Our goal here is to make clear the physical content and to…

Optimization and Control · Mathematics 2019-09-11 Vassili Kolokoltsov

Quantum information science explores the frontier of highly complex quantum states, the "entanglement frontier." This study is motivated by the observation (widely believed but unproven) that classical systems cannot simulate highly…

Quantum Physics · Physics 2012-11-13 John Preskill

Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

Populations and Evolution · Quantitative Biology 2016-05-04 Alex McAvoy , Christoph Hauert

Quantum Decision Theory, advanced earlier by the authors, and illustrated for lotteries with gains, is generalized to the games containing lotteries with gains as well as losses. The mathematical structure of the approach is based on the…

Physics and Society · Physics 2018-02-20 V. I. Yukalov , D. Sornette

Interesting connection has been established between two apparently unrelated concepts, namely, quantum nonlocality and Bayesian game theory. It has been shown that nonlocal correlations in the form of advice can outperform classical…

Quantum Physics · Physics 2016-09-23 Arup Roy , Amit Mukherjee , Tamal Guha , Sibasish Ghosh , Some Sankar Bhattacharya , Manik Banik

The quest for understanding the complex phenomena of the world has led to the development of various fields of science, each with its own methods, models, and assumptions. However, sometimes these fields can intersect and inspire each…

Physics and Society · Physics 2024-02-22 Arnab Kumar Maity

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

Incentive design deals with interaction between a principal and an agent where the former can shape the latter's utility through a policy commitment. It is well known that the principal faces an information rent when dealing with an agent…

Computer Science and Game Theory · Computer Science 2025-09-03 Raj Kiriti Velicheti , Subhonmesh Bose , Tamer Başar

The behavior of entangled quantum systems can generally not be explained as being determined by shared classical randomness. In the first part of this paper, we propose a simple game for n players demonstrating this non-local property of…

Quantum Physics · Physics 2013-01-01 Renato Renner , Stefan Wolf

Two-player zero-sum repeated games are well understood. Computing the value of such a game is straightforward. Additionally, if the payoffs are dependent on a random state of the game known to one, both, or neither of the players, the…

Information Theory · Computer Science 2009-11-05 Paul Cuff

Theory of quantum games is relatively new to the literature and its applications to various areas of research are being explored. It is a novel interpretation of strategies and decisions in quantum domain. In the earlier work on quantum…

Quantum Physics · Physics 2010-12-10 Ahmad Nawaz

This work, based on the author's MA thesis, concentrates on simultaneous move quantum games of two players. A numerical algorithm based on the method of best response functions, designed to search for pure strategy Nash equilibrium in…

Quantum Physics · Physics 2013-06-07 Y. Avishai

Using the representation introduced in \cite{frame}, an artificial game in quantum strategy space is proposed and studied. Although it has well-known classical correspondence, which has classical mixture strategy Nash Equilibrium states,…

Quantum Physics · Physics 2007-05-23 Jinshan Wu