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In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

最优化与控制 · 数学 2024-10-30 Dian Gadjov , Lacra Pavel

Imperfect-Information Extensive-Form Games (IIEFGs) is a prevalent model for real-world games involving imperfect information and sequential plays. The Extensive-Form Correlated Equilibrium (EFCE) has been proposed as a natural solution…

机器学习 · 计算机科学 2022-05-17 Ziang Song , Song Mei , Yu Bai

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

In this paper, a multi-user cooperative computing framework is applied to enable mobile users to utilize available computing resources from other neighboring users via direct communication links. An incentive scheme based on Bertrand game…

计算机科学与博弈论 · 计算机科学 2021-08-10 Nan Zhang , Guopeng Zhang , Kezhi Wang , Kun Yang

As demonstrated by Ratliff et al. (2014), inverse optimization can be used to recover the objective function parameters of players in multi-player Nash games. These games involve the optimization problems of multiple players in which the…

最优化与控制 · 数学 2021-02-25 Stephanie Allen , John P. Dickerson , Steven A. Gabriel

Decentralized online learning for seeking generalized Nash equilibrium (GNE) of noncooperative games in dynamic environments is studied in this paper. Each player aims at selfishly minimizing its own time-varying cost function subject to…

最优化与控制 · 数学 2021-05-14 Min Meng , Xiuxian Li , Yiguang Hong , Jie Chen , Long Wang

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

This paper considers the design of fully distributed Nash equilibrium seeking strategies for multi-agent games. To develop fully distributed seeking strategies, two adaptive control laws, including a node-based control law and an edge-based…

最优化与控制 · 数学 2019-12-03 Maojiao Ye , Guoqiang Hu

In multi-agent settings with mixed incentives, methods developed for zero-sum games have been shown to lead to detrimental outcomes. To address this issue, opponent shaping (OS) methods explicitly learn to influence the learning dynamics of…

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

机器学习 · 计算机科学 2019-06-10 Juan C. Perdomo , Yaron Singer

Counterfactual regret minimization (CFR) is an effective algorithm for solving extensive games with imperfect information (IIEGs). However, CFR is only allowed to be applied in known environments, where the transition function of the chance…

计算机科学与博弈论 · 计算机科学 2024-10-30 Chen Qiu , Xuan Wang , Tianzi Ma , Yaojun Wen , Jiajia Zhang

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality it is often the case…

计算机科学与博弈论 · 计算机科学 2011-11-17 Sergey Kuniavsky , Rann Smorodinsky

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

There have been extensive studies on learning in zero-sum games, focusing on the analysis of the existence and algorithmic convergence of Nash equilibrium (NE). Existing studies mainly focus on symmetric games where the strategy spaces of…

计算机科学与博弈论 · 计算机科学 2025-02-11 Yuheng Li , Panpan Wang , Haipeng Chen

Researchers have demonstrated that neural networks are vulnerable to adversarial examples and subtle environment changes, both of which one can view as a form of distribution shift. To humans, the resulting errors can look like blunders,…

We introduce a new approach to the study of influence in strategic settings where the action of an individual depends on that of others in a network-structured way. We propose \emph{influence games} as a \emph{game-theoretic} model of the…

计算机科学与博弈论 · 计算机科学 2016-04-12 Mohammad T. Irfan , Luis E. Ortiz

Although dynamic games provide a rich paradigm for modeling agents' interactions, solving these games for real-world applications is often challenging. Many real-world interactive settings involve general nonlinear state and input…

机器人学 · 计算机科学 2023-08-08 Maulik Bhatt , Yixuan Jia , Negar Mehr

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with merely monotone and restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Angelia Nedich

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

机器学习 · 计算机科学 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

Nash equilibrium is a popular solution concept for solving imperfect-information games in practice. However, it has a major drawback: it does not preclude suboptimal play in branches of the game tree that are not reached in equilibrium.…

计算机科学与博弈论 · 计算机科学 2017-05-29 Christian Kroer , Gabriele Farina , Tuomas Sandholm
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