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In this note, we study a class of deterministic finite-horizon linear-quadratic difference games with coupled affine inequality constraints involving both state and control variables. We show that the necessary conditions for the existence…

最优化与控制 · 数学 2025-10-06 Partha Sarathi Mohapatra , Puduru Viswanadha Reddy

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

最优化与控制 · 数学 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

We study binary-action pairwise-separable network games that encompass both coordinating and anti-coordinating behaviors. Our model is grounded in an underlying directed signed graph, where each link is associated with a weight that…

计算机科学与博弈论 · 计算机科学 2025-05-22 Martina Vanelli , Laura Arditti , Giacomo Como , Fabio Fagnani

Wireless Sensor Networks (WSN) support data collection and distributed data processing by means of very small sensing devices that are easy to tamper and cloning: therefore classical security solutions based on access control and strong…

计算机科学与博弈论 · 计算机科学 2015-03-04 Nicola Gatti , Mattia Monga , Sabrina Sicari

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

We contribute the first provable guarantees of global convergence to Nash equilibria (NE) in two-player zero-sum convex Markov games (cMGs) by using independent policy gradient methods. Convex Markov games, recently defined by Gemp et al.…

计算机科学与博弈论 · 计算机科学 2025-06-23 Fivos Kalogiannis , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ian Gemp , Georgios Piliouras

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

最优化与控制 · 数学 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

We study the existence and computation of Nash equilibria in concave games where the players' admissible strategies are subject to shared coupling constraints. Under playerwise concavity of constraints, we prove existence of Nash…

计算机科学与博弈论 · 计算机科学 2026-02-09 Philip Jordan , Maryam Kamgarpour

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

The concept of leader--follower (or Stackelberg) equilibrium plays a central role in a number of real--world applications of game theory. While the case with a single follower has been thoroughly investigated, results with multiple…

计算机科学与博弈论 · 计算机科学 2017-07-10 Nicola Basilico , Stefano Coniglio , Nicola Gatti

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

最优化与控制 · 数学 2023-04-27 Meichen Guo , Claudio De Persis

In this letter, we investigate the problem of dynamic spectrum access for small cell networks, using a graphical game approach. Compared with existing studies, we take the features of different cell loads and local interference relationship…

信息论 · 计算机科学 2016-11-17 Yuhua Xu , Chenggui Wang , Junhong Chen , Jinlong Wang , Yitao Xu , Qihui Wu , Alagan Anpalagan

This paper investigates the problem of Online Convex-Concave Optimization, which extends Online Convex Optimization to two-player time-varying convex-concave games. The goal is to minimize the dynamic duality gap (D-DGap), a critical…

机器学习 · 计算机科学 2025-09-10 Qing-xin Meng , Xia Lei , Jian-wei Liu

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

We study the performance of the gradient play algorithm for stochastic games (SGs), where each agent tries to maximize its own total discounted reward by making decisions independently based on current state information which is shared…

机器学习 · 计算机科学 2023-12-08 Runyu Zhang , Zhaolin Ren , Na Li

We present the concept of a Generalized Feedback Nash Equilibrium (GFNE) in dynamic games, extending the Feedback Nash Equilibrium concept to games in which players are subject to state and input constraints. We formalize necessary and…

最优化与控制 · 数学 2023-11-22 Forrest Laine , David Fridovich-Keil , Chih-Yuan Chiu , Claire Tomlin

We consider an attacker-operator game for monitoring a large-scale network that is comprised on components that differ in their criticality levels. In this zero-sum game, the operator seeks to position a limited number of sensors to monitor…

计算机科学与博弈论 · 计算机科学 2019-03-19 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

In a network game, players interact over a network and the utility of each player depends on his own action and on an aggregate of his neighbours' actions. Many real world networks of interest are asymmetric and involve a large number of…

计算机科学与博弈论 · 计算机科学 2025-08-12 Kiran Rokade , Adit Jain , Francesca Parise , Vikram Krishnamurthy , Eva Tardos

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

计算机科学与博弈论 · 计算机科学 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its target while minimizing the cumulative exposure to a moving…

最优化与控制 · 数学 2019-09-09 Elliot Cartee , Lexiao Lai , Qianli Song , Alexander Vladimirsky