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We present a quantum approach to a signaling game; a special kind of extensive games of incomplete information. Our model is based on quantum schemes for games in strategic form where players perform unitary operators on their own qubits of…

计算机科学与博弈论 · 计算机科学 2014-07-28 Piotr Frackiewicz

We examine the advantages that quantum strategies afford in communication-limited games. Inspired by the card game blackjack, we focus on cooperative, two-party sequential games in which a single classical bit of communication is allowed…

量子物理 · 物理学 2020-07-30 Joseph X. Lin , Joseph A. Formaggio , Aram W. Harrow , Anand V. Natarajan

Quantum game theory is the study of strategic behavior by agents with access to quantum technology. Broadly speaking, this technology can be employed in either of two ways: As part of a randomization device or as part of a communications…

最优化与控制 · 数学 2011-10-31 Steven E. Landsburg

We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

量子物理 · 物理学 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

种群与进化 · 定量生物学 2007-05-23 Jacek Miekisz

Games involving quantum strategies often yield higher payoff. Here, we study a practical realization of the three-player dilemma game using the superconductivity-based quantum processors provided by IBM Q Experience. We analyze the…

量子物理 · 物理学 2022-06-07 Pranav Kairon , Kishore Thapliyal , R. Srikanth , Anirban Pathak

We investigate the quantization of games in which the players can access to a continuous set of classical strategies, making use of continuous-variable quantum systems. For the particular case of the Cournot's Duopoly, we find that, even…

量子物理 · 物理学 2009-11-07 Hui Li , Jiangfeng Du , Serge Massar

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…

量子物理 · 物理学 2007-05-23 Azhar Iqbal

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,…

量子物理 · 物理学 2007-05-23 Jinshan Wu

We study an atomic signaling game under stochastic evolutionary dynamics. There is a finite number of players who repeatedly update from a finite number of available languages/signaling strategies. Players imitate the most fit agents with…

概率论 · 数学 2013-12-23 Michael J. Fox , Behrouz Touri , Jeff S. Shamma

We pursue a general theory of quantum games. We show that quantum games are more efficient than classical games, and provide a saturated upper bound for this efficiency. We demonstrate that the set of finite classical games is a strict…

量子物理 · 物理学 2008-09-19 Chiu Fan Lee , Neil Johnson

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…

量子物理 · 物理学 2013-06-07 Y. Avishai

We give a concise and self-contained introduction to the theory of Quantum Games by reviewing the seminal works of Meyer, Eisert-Wilkens-Lewenstein, Marinatto-Weber and Landsburg, which initiated the study of this field. By generalizing…

量子物理 · 物理学 2023-05-02 Sowmitra Das

A quantum algorithm succeeds not because the superposition principle allows 'the computation of all values of a function at once' via 'quantum parallelism,' but rather because the structure of a quantum state space allows new sorts of…

量子物理 · 物理学 2010-05-17 Jeffrey Bub

The game in which acts of participants don't have an adequate description in terms of Boolean logic and classical theory of probabilities is considered. The model of the game interaction is constructed on the basis of a non-distributive…

量子物理 · 物理学 2007-05-23 Andrey Grib , Georges Parfionov

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

计算机科学与博弈论 · 计算机科学 2015-05-27 Paolo Galeazzi , Michael Franke

Quantum game theory offers a lot of interesting questions, and it is relevant to use the quantum information theory to resolve or improve games with lack of information : how to use the power of quantum entanglement to show the superiority…

量子物理 · 物理学 2007-05-23 Sylvain Gravier , Philippe Jorrand , Mehdi Mhalla , Charles Payan

The quantum advantage arising in a simplified multi-player quantum game, is found to be a disadvantage when the game's qubit-source is corrupted by a noisy "demon". Above a critical value of the corruption-rate, or noise-level, the coherent…

量子物理 · 物理学 2009-11-06 Neil F. Johnson

Quantum game theory is a recently developing field of physical research. In this paper, we investigate quantum games in a systematic way. With the famous instance of the Prisoner's Dilemma, we present the fascinating properties of quantum…

量子物理 · 物理学 2007-05-23 Jiangfeng Du , Xiaodong Xu , Hui Li , Xianyi Zhou , Rongdian Han

We study quantum games with correlated noise through a generalized quantization scheme. We investigate the effects of memory on quantum games, such as Prisoner's Dilemma, Battle of the Sexes and Chicken, through three prototype…

量子物理 · 物理学 2008-07-28 M. Ramzan , Ahmad Nawaz , A. H. Toor , M. K. Khan