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We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also construct a particular quantum strategy…

量子物理 · 物理学 2020-03-16 J. Eisert , M. Wilkens , M. Lewenstein

We investigate a multi-player and multi-choice quantum game. We start from two-player and two-choice game and the result is better than its classical version. Then we extend it to N-player and N-choice cases. In the quantum domain, we…

量子物理 · 物理学 2009-11-06 Jiangfeng Du , Hui Li , Xiaodong Xu , Xianyi Zhou , Rongdian Han

We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time, we find that…

量子物理 · 物理学 2018-01-17 Bo Chen , Ying-Jun Ma , Gui Lu Long

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

计算机科学与博弈论 · 计算机科学 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum random walk on the line: the use of multiple…

量子物理 · 物理学 2009-11-07 Todd A. Brun , Hilary A. Carteret , Andris Ambainis

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form…

量子物理 · 物理学 2009-11-07 A. Iqbal , A. H. Toor

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied, however…

量子物理 · 物理学 2023-12-12 Kazuki Ikeda , Shoto Aoki

Binary decisions are the simplest form of decisions that are made in our daily lives. Examples include choosing a two-way path in a maze, accepting or declining an offer, etc. These decisions are also made by computers, machines and various…

量子物理 · 物理学 2019-10-08 Sujan Vijayaraj , S. Nandakumar

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

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

We study the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks. We focus our study on the two-player games: prisoner's dilemma, snowdrift and stag-hunt games. The obtained result show the benefits…

物理与社会 · 物理学 2020-11-10 Łukasz Pawela

We present a proposal for optically implementing the quantum game of the two-player quantum prisoner's dilemma involving nonmaximally entangled states by using beam splitters, phase shifters, cross-Kerr medium, photon detector and the…

量子物理 · 物理学 2009-11-10 Lan Zhou , Le-Man Kuang

A review of discrete quantum walk with two particle is given. The use of different states encountered in identical particle, and the idea of entanglement and superposition is explored to explored the interesting dynamics of two particle…

量子物理 · 物理学 2012-05-22 Joachim Nsofini

We study the possible advantages of adopting of quantum strategies in multi-player evolutionary games. We base our study on the three-player Prisoner's Dilemma (PD) game. In order to model the simultaneous interaction between three agents…

量子物理 · 物理学 2020-11-10 Ł. Pawela , J. Sładkowski

The centipede game is a two-player non-zero-sum game. Each turn, a player can choose whether they want to take or pass a growing reward. The classical, rational solution of this game shows defection in the first round, when in reality,…

量子物理 · 物理学 2025-11-27 Kaytki Chakankar , Xinhui Tang , Yiguo Zhang

This paper introduces quantum multiparty protocols which allow the use of temporary assumptions. We prove that secure quantum multiparty computations are possible if and only if classical multi party computations work. But these strict…

量子物理 · 物理学 2007-05-23 J. Mueller-Quade , H. Imai

We consider the discrete-time quantum walk in the plane, and present a quantum implementation of Parrondo's game for four players. Physical significance of the game strategies are also discussed.

量子物理 · 物理学 2011-08-30 Clement Ampadu

In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far,…

量子物理 · 物理学 2016-02-16 Jeongho Bang , Junghee Ryu , Marcin Pawłowski , B. S. Ham , Jinhyoung Lee

Quantum generalizations of conventional games broaden the range of available strategies, which can help improve outcomes for the participants. With many players, such quantum games can involve entanglement among many states which is…

量子物理 · 物理学 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

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