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Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game…

计算机科学与博弈论 · 计算机科学 2014-04-04 Xiang Jiang , Arno Pauly

We present novel techniques for neuro-symbolic concurrent stochastic games, a recently proposed modelling formalism to represent a set of probabilistic agents operating in a continuous-space environment using a combination of neural network…

计算机科学与博弈论 · 计算机科学 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

Federated learning aims to train predictive models for data that is distributed across clients, under the orchestration of a server. However, participating clients typically each hold data from a different distribution, which can yield to…

机器学习 · 计算机科学 2022-11-02 Sharut Gupta , Kartik Ahuja , Mohammad Havaei , Niladri Chatterjee , Yoshua Bengio

In this paper, I introduce a novel benchmark in games, super-Nash performance, and a solution concept, optimin, whereby players maximize their minimal payoff under unilateral profitable deviations by other players. Optimin achieves…

理论经济学 · 经济学 2025-10-23 Mehmet S. Ismail

This paper studies the Two-Person Zero Sum(TPZS) game between a Multiple-Input Multiple-Output(MIMO) radar and an extended target with payoff function being the output Signal-to-Interference-pulse-Noise Ratio(SINR) at the radar receiver.…

信号处理 · 电气工程与系统科学 2020-11-24 Zhou Xu , Chongyi Fan , Xiaotao Huang

Exploiting the algebraic structure of the set of bimatrix games, a divide-and-conquer algorithm for finding Nash equilibria is proposed. The algorithm is fixed-parameter tractable with the size of the largest irreducible component of a game…

计算机科学与博弈论 · 计算机科学 2013-01-01 Xiang Jiang , Arno Pauly

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

计算机科学与博弈论 · 计算机科学 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

Equilibria of realistic multiplayer games constitute a key solution concept both in practical applications, such as online advertising auctions and electricity markets, and in analytical frameworks used to study strategic voting in…

计算机科学与博弈论 · 计算机科学 2025-11-18 Jakub Černý , Shuvomoy Das Gupta , Christian Kroer

In this paper, we apply the idea of fictitious play to design deep neural networks (DNNs), and develop deep learning theory and algorithms for computing the Nash equilibrium of asymmetric $N$-player non-zero-sum stochastic differential…

最优化与控制 · 数学 2020-09-07 Ruimeng Hu

This paper presents a potential game approach for distributed cooperative selection of informative sensors, when the goal is to maximize the mutual information between the measurement variables and the quantities of interest. It is proved…

系统与控制 · 计算机科学 2014-03-05 Han-Lim Choi , Su-Jin Lee

We study automated intrusion response for an IT infrastructure and formulate the interaction between an attacker and a defender as a partially observed stochastic game. To solve the game we follow an approach where attack and defense…

系统与控制 · 电气工程与系统科学 2024-04-23 Kim Hammar , Rolf Stadler

A strategy profile in a multi-player game is a Nash equilibrium if no player can unilaterally deviate to achieve a strictly better payoff. A profile is an $\epsilon$-Nash equilibrium if no player can gain more than $\epsilon$ by…

计算机科学与博弈论 · 计算机科学 2026-01-27 Ali Asadi , Léonard Brice , Krishnendu Chatterjee , K. S. Thejaswini

Mean Field Games (MFG) have been introduced to tackle games with a large number of competing players. Considering the limit when the number of players is infinite, Nash equilibria are studied by considering the interaction of a typical…

最优化与控制 · 数学 2021-06-14 Mathieu Lauriere

In this paper, we consider a mean field game (MFG) model perturbed by small common noise. Our goal is to give an approximation of the Nash equilibrium strategy of this game using a solution from the original no common noise MFG whose…

概率论 · 数学 2017-07-31 Saran Ahuja , Weiluo Ren , Tzu-Wei Yang

In this paper, we consider a differential stochastic zero-sum game in which two players intervene by adopting impulse controls in a finite time horizon. We provide a numerical solution as an approximation of the value function, which turns…

最优化与控制 · 数学 2024-10-14 Antoine Zolome , Brahim El Asri

This paper addresses the matter of inequality in network formation games. We employ a quantity that we are calling the Nash Inequality Ratio (NIR), defined as the maximal ratio between the highest and lowest costs incurred to individual…

计算机科学与博弈论 · 计算机科学 2014-10-21 Samuel D. Johnson , Raissa M. D'Souza

This paper presents a game theoretic framework for participation and free-riding in federated learning (FL), and determines the Nash equilibrium strategies when FL is executed over wireless links. To support spectrum sensing for NextG…

计算机科学与博弈论 · 计算机科学 2022-12-22 Yalin E. Sagduyu

Designing efficient algorithms to find Nash equilibrium (NE) refinements in sequential games is of paramount importance in practice. Indeed, it is well known that the NE has several weaknesses, since it may prescribe to play sub-optimal…

计算机科学与博弈论 · 计算机科学 2022-08-18 Martino Bernasconi , Alberto Marchesi , Francesco Trovò

We develop a constrained bimatrix game framework that can be used to model many practical problems in many disciplines, including jamming in packetized wireless networks. In contrast to the widely used zero-sum framework, in bimatrix games…

信息论 · 计算机科学 2024-10-30 Koorosh Firouzbakht , Guevara Noubir , Masoud Salehi

In this paper we present optimization problems with biconvex objective function and linear constraints such that the set of global minima of the optimization problems is the same as the set of Nash equilibria of a n-player general-sum…

计算机科学与博弈论 · 计算机科学 2015-04-28 Vinayaka Yaji , Shalabh Bhatnagar