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Bertrand et al. [1] (LMCS 2019) describe two-player zero-sum games in which one player tries to achieve a reachability objective in $n$ games (on the same finite arena) simultaneously by broadcasting actions, and where the opponent has full…

计算机科学中的逻辑 · 计算机科学 2019-09-17 Corto Mascle , Mahsa Shirmohammadi , Patrick Totzke

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

最优化与控制 · 数学 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

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

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

计算机科学与博弈论 · 计算机科学 2013-04-09 Sunil Simon , Krzysztof R. Apt

We study the problem of characterizing the set of games that are consistent with observed equilibrium play. Our contribution is to develop and analyze a new methodology based on convex optimization to address this problem for many classes…

计算机科学与博弈论 · 计算机科学 2017-03-23 Juba Ziani , Venkat Chandrasekaran , Katrina Ligett

In this work, we investigate the distributed generalized Nash equilibrium (GNE) seeking problems for $N$-coalition games with inequality constraints. First, we study the scenario where each agent in a coalition has full information of all…

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

We study optimal equilibria in multi-player games. An equilibrium is optimal for a player, if her payoff is maximal. A tempting approach to solving this problem is to seek optimal Nash equilibria, the standard form of equilibria where no…

计算机科学与博弈论 · 计算机科学 2013-07-09 Anshul Gupta , Sven Schewe

The dense deployment of small-cell base stations in HetSNets requires efficient resource allocation techniques. More precisely, the problem of associating users to SBSs must be revised and carefully studied. This problem is NP-hard and…

计算机科学与博弈论 · 计算机科学 2015-08-04 Zoubeir Mlika , Elmahdi Driouch , Wessam Ajib , Halima Elbiaze

Congestion games constitute an important class of games in which computing an exact or even approximate pure Nash equilibrium is in general {\sf PLS}-complete. We present a surprisingly simple polynomial-time algorithm that computes…

计算机科学与博弈论 · 计算机科学 2011-07-14 Ioannis Caragiannis , Angelo Fanelli , Nick Gravin , Alexander Skopalik

Games with continuous strategy sets arise in several machine learning problems (e.g. adversarial learning). For such games, simple no-regret learning algorithms exist in several cases and ensure convergence to coarse correlated equilibria…

计算机科学与博弈论 · 计算机科学 2019-03-05 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

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

We consider a class of continuous-time dynamic games involving a large number of players. Each player selects actions from a finite set and evolves through a finite set of states. State transitions occur stochastically and depend on the…

系统与控制 · 电气工程与系统科学 2025-11-12 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We study turn-based stochastic zero-sum games with lexicographic preferences over reachability and safety objectives. Stochastic games are standard models in control, verification, and synthesis of stochastic reactive systems that exhibit…

计算机科学与博弈论 · 计算机科学 2022-07-21 Krishnendu Chatterjee , Joost-Pieter Katoen , Maximilian Weininger , Tobias Winkler

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

计算机科学与博弈论 · 计算机科学 2024-08-16 S. Rasoul Etesami , R. Srikant

We study the problem of approximating the value of a Unique Game instance in the streaming model. A simple count of the number of constraints divided by $p$, the alphabet size of the Unique Game, gives a trivial $p$-approximation that can…

计算复杂性 · 计算机科学 2020-11-13 Venkatesan Guruswami , Runzhou Tao

We consider a weighted Shapley network design game, where selfish players choose paths in a network to minimize their cost. The cost function of each edge in the network is affine linear with respect to the sum of weights of the players who…

计算机科学与博弈论 · 计算机科学 2023-12-19 Hangxin Gan , Xianhao Meng , Chunying Ren , Yongtang Shi

We extend anytime constraints to the Markov game setting and the corresponding solution concept of an anytime-constrained equilibrium (ACE). Then, we present a comprehensive theory of anytime-constrained equilibria that includes (1) a…

机器学习 · 计算机科学 2025-03-05 Jeremy McMahan

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

最优化与控制 · 数学 2019-08-05 Jinlong Lei , Uday V. Shanbhag

We study the problem of computing an $\epsilon$-approximate Nash equilibrium of a two-player, bilinear game with a bounded payoff matrix $A \in \mathbb{R}^{m \times n}$, when the players' strategies are constrained to lie in simple sets. We…

最优化与控制 · 数学 2026-01-08 Ishani Karmarkar , Liam O'Carroll , Aaron Sidford

We study the problem of finding robust equilibria in multiplayer concurrent games with mean payoff objectives. A $(k,t)$-robust equilibrium is a strategy profile such that no coalition of size $k$ can improve the payoff of one its member by…

计算机科学与博弈论 · 计算机科学 2016-02-02 Romain Brenguier