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Inspired by the algorithm of Barnsley's chaos game, we construct an open quantum system model based on the repeated interaction process. We shown that the quantum dynamics of the appropriate fermionic/bosonic system (in interaction with an…

量子物理 · 物理学 2018-09-26 T. Platini , R. J. Low

The properties of the Cournot model based on the most general entanglement operator containing quadratic expressions which is symmetric with respect to the exchange of players are considered. The degree of entanglement of games dependent on…

量子物理 · 物理学 2024-12-10 Katarzyna Bolonek-Lasoń

Probabilistic model checking for stochastic games enables formal verification of systems that comprise competing or collaborating entities operating in a stochastic environment. Despite good progress in the area, existing approaches focus…

计算机科学中的逻辑 · 计算机科学 2019-07-09 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

We present a new framework for creating a quantum version of a classical game, based on Fine's theorem. This theorem shows that for a given set of marginals, a system of Bell's inequalities constitutes both necessary and sufficient…

量子物理 · 物理学 2023-12-29 Azhar Iqbal , James M. Chappell , Claudia Szabo , Derek Abbott

Quantum discord has been utilised in order to find quantum advantage in an extension of the Clauser, Horne, Shimony, and Holt (CHSH) game. By writing the game explicitly as a Bayesian game, the resulting game is modified such the payoff's…

量子物理 · 物理学 2023-06-09 Adam Lowe

In another paper with the same name\cite{frame}, we proposed a new representation of Game Theory, but most results are given by specific examples and argument. In this paper, we try to prove the conclusions as far as we can, including a…

量子物理 · 物理学 2007-05-23 Jinshan Wu

The standard game-theoretic solution concept, Nash equilibrium, assumes that all players behave rationally. If we follow a Nash equilibrium and opponents are irrational (or follow strategies from a different Nash equilibrium), then we may…

计算机科学与博弈论 · 计算机科学 2023-08-22 Sam Ganzfried

We study a model of strategic coordination based on a class of games with incomplete information known as Global Games. Under the assumption of Poisson-distributed signals and a Gamma prior distribution on state of the system, we…

系统与控制 · 电气工程与系统科学 2025-07-02 Marcos M. Vasconcelos , Behrouz Touri

Quantal response equilibrium (QRE), a statistical generalization of Nash equilibrium, is a standard benchmark in the analysis of experimental data. Despite its influence, nonparametric characterizations and tests of QRE are unavailable…

理论经济学 · 经济学 2024-03-19 Evan Friedman , Duarte Gonçalves

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

计算机科学中的逻辑 · 计算机科学 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

A double auction game with an infinite number of buyers and sellers is introduced. All sellers posses one unit of a good, all buyers desire to buy one unit. Each seller and each buyer has a private valuation of the good. The distribution of…

计算机科学与博弈论 · 计算机科学 2012-10-23 Matthijs Ruijgrok

We address safe multi-robot interaction under uncertainty. In particular, we formulate a chance-constrained linear quadratic Gaussian game with coupling constraints and system uncertainties. We find a tractable reformulation of the game and…

机器人学 · 计算机科学 2025-08-15 Kai Ren , Giulio Salizzoni , Mustafa Emre Gürsoy , Maryam Kamgarpour

We consider a class of dynamic collective choice models with social interactions, whereby a large number of non-uniform agents have to individually settle on one of multiple discrete alternative choices, with the relevance of their would-be…

系统与控制 · 计算机科学 2017-08-21 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

In this paper we introduce a simple procedure for computing the macroscopic quantum behaviour of periodic quantum systems in the high energy regime. The macroscopic quantum coherence is ascribed to a one-particle state, not to a condensate…

量子物理 · 物理学 2015-06-17 A. Martín-Ruiz , J. Bernal , Adrián Carbajal-Domínguez

Even when confronted with the same data, agents often disagree on a model of the real-world. Here, we address the question of how interacting heterogenous agents, who disagree on what model the real-world follows, optimize their trading…

数理金融 · 定量金融 2019-12-13 Philippe Casgrain , Sebastian Jaimungal

Global games are a class of incomplete information games where the payoffs exhibit strategic complementarity leading to an incentive for the agents to coordinate their actions. Such games have been used to model scenarios in many…

系统与控制 · 电气工程与系统科学 2021-10-13 Marcos M. Vasconcelos

We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory.

量子物理 · 物理学 2015-06-26 E. W. Piotrowski , J. Sladkowski

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

最优化与控制 · 数学 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong Zhang

A recently introduced concept of "cooperative equilibrium", based on the assumption that players have a natural attitude to cooperation, has been proven a powerful tool in predicting human behaviour in social dilemmas. In this paper, we…

计算机科学与博弈论 · 计算机科学 2015-09-28 Valerio Capraro , Maria Polukarov , Matteo Venanzi , Nicholas R. Jennings

The concept of forming harmonious coalitions is introduced to both classical and quantum symmetric cooperative game. In both cases, players are motivated to form coalitions. Also, the main feature of the cooperative game is conserved.

适应与自组织系统 · 物理学 2018-07-11 A. S. Elgazzar , H. A. Elrayes