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It has been shown elsewhere that quantum resources can allow us to achieve a family of equilibria that can have sometimes a better social welfare, while guaranteeing privacy. We use graph games to propose a way to build non-cooperative…

计算机科学与博弈论 · 计算机科学 2019-12-24 Berry Groisman , Michael Mc Gettrick , Mehdi Mhalla , Marcin Pawlowski

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

量子物理 · 物理学 2015-03-17 Shengyu Zhang

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

量子物理 · 物理学 2015-02-05 Faisal Shah Khan

The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by human players have outcomes very different from Nash…

量子物理 · 物理学 2007-05-23 R. Vilela Mendes

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…

量子物理 · 物理学 2019-05-13 Haozhen Situ , Cai Zhang , Fang Yu

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

计算机科学与博弈论 · 计算机科学 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Entanglement is of paramount importance in quantum information theory. Its supremacy over classical correlations has been demonstrated in numerous information theoretic protocols. Here we study possible adequacy of quantum entanglement in…

Game theory is a well established branch of mathematics whose formalism has a vast range of applications from the social sciences, biology, to economics. Motivated by quantum information science, there has been a leap in the formulation of…

While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting--in…

量子物理 · 物理学 2015-05-14 Charles D. Hill , Adrian P. Flitney , Nicolas C. Menicucci

A fair gambling is hard to be made between two spatially separated parties without introducing a trusted third party. Here we propose a novel gambling protocol, which enables fair gambling between two distant parties without the help of a…

A correlated equilibrium is a fundamental solution concept in game theory that enjoys many desirable properties. However, it requires a trusted mediator, which is a major drawback in many practical applications. A computational solution to…

计算机科学与博弈论 · 计算机科学 2011-04-12 Iordanis Kerenidis , Shengyu Zhang

AI agents will be predictable in certain ways that traditional agents are not. Where and how can we leverage this predictability in order to improve social welfare? We study this question in a game-theoretic setting where one agent can pay…

计算机科学与博弈论 · 计算机科学 2025-02-10 Vojtech Kovarik , Nathaniel Sauerberg , Lewis Hammond , Vincent Conitzer

Playing a symmetric bi-matrix game is usually physically implemented by sharing pairs of 'objects' between two players. A new setting is proposed that explicitly shows effects of quantum correlations between the pairs on the structure of…

量子物理 · 物理学 2009-11-10 Azhar Iqbal

Effects of classical/quantum correlations and operations in game theory are analyzed using Samaritan's Dilemma. We observe that introducing either quantum or classical correlations to the game results in the emergence of a unique or…

量子物理 · 物理学 2007-08-16 Sahin Kaya Ozdemir , Junichi Shimamura , Fumiaki Morikoshi , Nobuyuki Imoto

Sharing correlated random variables is a resource for a number of information theoretic tasks such as privacy amplification, simultaneous message passing, secret sharing and many more. In this article, we show that to establish such a…

Concurrent stochastic games (CSGs) are an ideal formalism for modelling probabilistic systems that feature multiple players or components with distinct objectives making concurrent, rational decisions. Examples include communication or…

计算机科学中的逻辑 · 计算机科学 2020-07-27 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

This paper studies the connection between a class of mean-field games and a social welfare optimization problem. We consider a mean-field game in function spaces with a large population of agents, and each agent seeks to minimize an…

最优化与控制 · 数学 2018-02-15 Sen Li , Wei Zhang , Lin Zhao

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

计算机科学与博弈论 · 计算机科学 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

计算机科学与博弈论 · 计算机科学 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie
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