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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…

Machine Learning · Computer Science 2020-03-20 Kartik Ahuja , Karthikeyan Shanmugam , Kush R. Varshney , Amit Dhurandhar

This paper explores distributed Nash equilibrium seeking problems for games in which the players have limited knowledge on other players' actions. In particular, the involved players are considered to be high-order integrators with their…

Optimization and Control · Mathematics 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

We investigate a privacy-signaling game problem in which a sender with privacy concerns observes a pair of correlated random vectors which are modeled as jointly Gaussian. The sender aims to hide one of these random vectors and convey the…

Information Theory · Computer Science 2022-03-08 Ertan Kazıklı , Sinan Gezici , Serdar Yüksel

Multiagent learning settings are inherently more difficult than single-agent learning because each agent interacts with other simultaneously learning agents in a shared environment. An effective approach in multiagent reinforcement learning…

Computer Science and Game Theory · Computer Science 2022-10-31 Dong-Ki Kim , Matthew Riemer , Miao Liu , Jakob N. Foerster , Gerald Tesauro , Jonathan P. How

We formulate a general framework for competitive gradient-based learning that encompasses a wide breadth of multi-agent learning algorithms, and analyze the limiting behavior of competitive gradient-based learning algorithms using dynamical…

Machine Learning · Computer Science 2020-02-21 Eric Mazumdar , Lillian J. Ratliff , S. Shankar Sastry

We consider the problem of a game theorist analyzing a game that uses cryptographic protocols. Ideally, a theorist abstracts protocols as ideal, implementation-independent primitives, letting conclusions in the "ideal world" carry over to…

Computer Science and Game Theory · Computer Science 2025-06-30 Alexandros Psomas , Athina Terzoglou , Yu Wei , Vassilis Zikas

We study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In such games, each player aims at reaching his own goal set of states as soon as possible. A previous work on this model…

Computer Science and Game Theory · Computer Science 2019-03-14 Thomas Brihaye , Véronique Bruyère , Julie De Pril , Hugo Gimbert

This paper considers the distributed strategy design for Nash equilibrium (NE) seeking in multi-cluster games under a partial-decision information scenario. In the considered game, there are multiple clusters and each cluster consists of a…

Optimization and Control · Mathematics 2022-06-08 Min Meng , Xiuxian Li

We address Nash equilibrium problems in a partial-decision information scenario, where each agent can only exchange information with some neighbors, while its cost function possibly depends on the strategies of all agents. We characterize…

Optimization and Control · Mathematics 2022-06-24 Mattia Bianchi , Sergio Grammatico

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…

Computer Science and Game Theory · Computer Science 2017-07-10 Nicola Basilico , Stefano Coniglio , Nicola Gatti

This paper studies optimal consensus tracking problem of heterogeneous linear multi-agent systems. By introducing tracking error dynamics, the optimal tracking problem is reformulated as finding a Nash-equilibrium solution of a multi-player…

Optimization and Control · Mathematics 2019-05-21 Jilie Zhang , Zhanshan Wang , Hongwei Zhang

We consider a class of Wasserstein distributionally robust Nash equilibrium problems, where agents construct heterogeneous data-driven Wasserstein ambiguity sets using private samples and radii, in line with their individual risk-averse…

Optimization and Control · Mathematics 2025-07-18 Georgios Pantazis , Reza Rahimi Baghbadorani , Sergio Grammatico

In socio-technical multi-agent systems, deception exploits privileged information to induce false beliefs in "victims," keeping them oblivious and leading to outcomes detrimental to them or advantageous to the deceiver. We consider…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Michael Tang , Umar Javed , Xudong Chen , Miroslav Krstic , Jorge I. Poveda

We consider strongly monotone games with convex separable coupling constraints, played by dynamical agents, in a partial-decision information scenario. We start by designing continuous-time fully distributed feedback controllers, based on…

Optimization and Control · Mathematics 2021-05-05 Mattia Bianchi , Sergio Grammatico

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

Optimization and Control · Mathematics 2023-10-25 Tatiana Tatarenko , Angelia Nedich

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

Optimization and Control · Mathematics 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

Systems and Control · Computer Science 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

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…

Computer Science and Game Theory · Computer Science 2019-10-29 Zehao Dou , Xiang Yan , Dongge Wang , Xiaotie Deng

In this paper, we study the problem of consensus-based distributed Nash equilibrium (NE) seeking where a network of players, abstracted as a directed graph, aim to minimize their own local cost functions non-cooperatively. Considering the…

Systems and Control · Electrical Eng. & Systems 2023-04-21 Wei Huo , Kam Fai Elvis Tsang , Yamin Yan , Karl Henrik Johansson , Ling Shi
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