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Creating strong agents for games with more than two players is a major open problem in AI. Common approaches are based on approximating game-theoretic solution concepts such as Nash equilibrium, which have strong theoretical guarantees in…

计算机科学与博弈论 · 计算机科学 2018-11-07 Sam Ganzfried , Austin Nowak , Joannier Pinales

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

计算机科学与博弈论 · 计算机科学 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

计算机科学与博弈论 · 计算机科学 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

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 propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in which players optimize over a space of measures, driven by…

偏微分方程分析 · 数学 2025-02-11 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian J. Ratliff

We study the deterministic and randomized query complexity of finding approximate equilibria in bimatrix games. We show that the deterministic query complexity of finding an $\epsilon$-Nash equilibrium when $\epsilon < \frac{1}{2}$ is…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Rahul Savani

This paper studies a system security problem in the context of observability based on a two-person noncooperative infinitely repeated game. Both the attacker and the defender have means to modify the dimension of the unobservable subspace,…

最优化与控制 · 数学 2025-06-11 Yueyue Xu , Panpan Zhou , Lin Wang , Zhixin Liu , Xiaoming Hu

We suggest a novel stochastic-approximation algorithm to compute a symmetric Nash-equilibrium strategy in a general queueing game with a finite action space. The algorithm involves a single simulation of the queueing process with dynamic…

概率论 · 数学 2023-08-30 Liron Ravner , Ran I. Snitkovsky

We consider a hide-and-seek game between a Hider and a Seeker over a finite set of locations. The Hider chooses one location to conceal a stationary treasure, while the Seeker visits the locations sequentially along a route. As the search…

系统与控制 · 电气工程与系统科学 2026-03-31 Prajakta Surve , Shaunak D. Bopardikar , Daigo Shishika , Dipankar Maity , Michael Dorothy

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 derive sublinear-time quantum algorithms for computing the Nash equilibrium of two-player zero-sum games, based on efficient Gibbs sampling methods. We are able to achieve speed-ups for both dense and sparse payoff matrices at the cost…

量子物理 · 物理学 2019-04-08 Joran van Apeldoorn , András Gilyén

An ever-important issue is protecting infrastructure and other valuable targets from a range of threats from vandalism to theft to piracy to terrorism. The "defender" can rarely afford the needed resources for a 100% protection. Thus, the…

计算机科学与博弈论 · 计算机科学 2017-06-20 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Aleksandrs Slivkins

There has been significant recent progress in algorithms for approximation of Nash equilibrium in large two-player zero-sum imperfect-information games and exact computation of Nash equilibrium in multiplayer strategic-form games. While…

计算机科学与博弈论 · 计算机科学 2025-10-01 Sam Ganzfried

Adversarial team games model multiplayer strategic interactions in which a team of identically-interested players is competing against an adversarial player in a zero-sum game. Such games capture many well-studied settings in game theory,…

In this work, we present a novel characterization of approximate Nash equilibria in a class of convex games over the simplex. To achieve this, we regularize the utility functions using the Shannon entropy term, connect the solutions to the…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , S. Rasoul Etesami

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

计算机科学与博弈论 · 计算机科学 2026-01-05 Sam Ganzfried

We consider quadratic, nonmonotone generalized Nash equilibrium problems with symmetric interactions among the agents. Albeit this class of games is known to admit a potential function, its formal expression can be unavailable in several…

最优化与控制 · 数学 2022-03-31 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

We propose a novel method to find Nash equilibria in games with binary decision variables by including compensation payments and incentive-compatibility constraints from non-cooperative game theory directly into an optimization framework in…

最优化与控制 · 数学 2017-10-10 Daniel Huppmann , Sauleh Siddiqui

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

计算机科学与博弈论 · 计算机科学 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik