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We provide the first fully polynomial time approximation scheme (FPTAS) for computing an approximate mixed-strategy Nash equilibrium in tree-structured graphical multi-hypermatrix games (GMhGs). GMhGs are generalizations of normal-form…

计算机科学与博弈论 · 计算机科学 2017-02-07 Luis E. Ortiz , Mohammad T. Irfan

The standard risk minimization paradigm of machine learning is brittle when operating in environments whose test distributions are different from the training distribution due to spurious correlations. Training on data from many…

机器学习 · 计算机科学 2020-03-20 Kartik Ahuja , Karthikeyan Shanmugam , Kush R. Varshney , Amit Dhurandhar

We propose a framework to compute approximate Nash equilibria in integer programming games with nonlinear payoffs, i.e., simultaneous and non-cooperative games where each player solves a parametrized mixed-integer nonlinear program. We…

最优化与控制 · 数学 2025-08-04 Aloïs Duguet , Margarida Carvalho , Gabriele Dragotto , Sandra Ulrich Ngueveu

Max-min fairness (MMF) is a widely known approach to a fair allocation of bandwidth to each of the users in a network. This allocation can be computed by uniformly raising the bandwidths of all users without violating capacity constraints.…

网络与互联网体系结构 · 计算机科学 2014-01-15 Tobias Harks , Martin Hoefer , Kevin Schewior , Alexander Skopalik

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

We focus on the problem of \emph{Answer-Level Fine-Tuning} (ALFT), where the goal is to optimize a language model based on the correctness or properties of its final answers, rather than the specific reasoning traces used to produce them.…

机器学习 · 计算机科学 2026-05-01 Mehryar Mohri , Jon Schneider , Yifan Wu

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

计算机科学与博弈论 · 计算机科学 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

We study finite-horizon two-player zero-sum differential games with one-sided payoff information ($G$), where the informed player (P1) knows the game payoff, while P2 only has a public belief over a finite set of possible payoffs. In this…

计算机科学与博弈论 · 计算机科学 2026-05-06 Mukesh Ghimire , Zhe Xu , Yi Ren

In this paper we develop a novel approach to the convergence of Best-Response Dynamics for the family of interference games. Interference games represent the fundamental resource allocation conflict between users of the radio spectrum. In…

计算机科学与博弈论 · 计算机科学 2018-11-20 Ilai Bistritz , Amir Leshem

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

最优化与控制 · 数学 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

We consider a zero-sum inspection game, in which a defender positions detectors across a critical system to detect multiple attacks caused by an attacker. We assume that detection is imperfect, and each detector location is associated with…

计算机科学与博弈论 · 计算机科学 2025-10-14 Bastián Bahamondes , Mathieu Dahan

We study discounted infinitely repeated games in which players agree on a cooperative mixed action profile but, at each step, observe only the realized pure actions. This form of imperfect monitoring breaks classical trigger strategies,…

应用统计 · 统计学 2026-03-09 Aymeric Capitaine , Antoine Scheid , Etienne Boursier , Alain Durmus , Michael I. Jordan

Nash equilibrium has long been a desired solution concept in multi-player games, especially for those on continuous strategy spaces, which have attracted a rapidly growing amount of interests due to advances in research applications such as…

计算机科学与博弈论 · 计算机科学 2019-10-29 Zehao Dou , Xiang Yan , Dongge Wang , Xiaotie Deng

We consider the problem of computing mixed Nash equilibria of two-player zero-sum games with continuous sets of pure strategies and with first-order access to the payoff function. This problem arises for example in game-theory-inspired…

最优化与控制 · 数学 2025-09-04 Guillaume Wang , Lénaïc Chizat

Static reduction of information structures (ISs) is a method that is commonly adopted in stochastic control, team theory, and game theory. One approach entails change of measure arguments, which has been crucial for stochastic analysis and…

最优化与控制 · 数学 2023-07-13 Sina Sanjari , Tamer Başar , Serdar Yüksel

This short paper concerns discretization schemes for representing and computing approximate Nash equilibria, with emphasis on graphical games, but briefly touching on normal-form and poly-matrix games. The main technical contribution is a…

人工智能 · 计算机科学 2014-11-13 Luis E. Ortiz

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

机器学习 · 统计学 2018-06-07 Xingyu Wang , Diego Klabjan

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, whereby predictive…

机器学习 · 计算机科学 2022-05-24 Sharut Gupta , Kartik Ahuja , Mohammad Havaei , Niladri Chatterjee , Yoshua Bengio

Self-play (SP) is a popular multi-agent reinforcement learning (MARL) framework for solving competitive games, where each agent optimizes policy by treating others as part of the environment. Despite the empirical successes, the theoretical…

人工智能 · 计算机科学 2023-10-06 Zelai Xu , Yancheng Liang , Chao Yu , Yu Wang , Yi Wu

We study multiplayer quantitative reachability games played on a finite directed graph, where the objective of each player is to reach his target set of vertices as quickly as possible. Instead of the well-known notion of Nash equilibrium…

计算机科学与博弈论 · 计算机科学 2023-06-22 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Jean-François Raskin , Marie van den Bogaard