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The pursuit of sustainability motivates microgrids that depend on distributed resources to produce more renewable energies. An efficient operation and planning relies on a holistic framework that takes into account the interdependent…

Systems and Control · Computer Science 2017-07-25 Juntao Chen , Quanyan Zhu

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

Machine Learning · Computer Science 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

In this paper, we present an efficient algorithm to solve online Stackelberg games, featuring multiple followers, in a follower-agnostic manner. Unlike previous works, our approach works even when leader has no knowledge about the…

Optimization and Control · Mathematics 2024-03-28 Chinmay Maheshwari , James Cheng , S. Shankar Sasty , Lillian Ratliff , Eric Mazumdar

Information uncertainty is one of the major challenges facing applications of game theory. In the context of Stackelberg games, various approaches have been proposed to deal with the leader's incomplete knowledge about the follower's…

Computer Science and Game Theory · Computer Science 2019-05-21 Jiarui Gan , Haifeng Xu , Qingyu Guo , Long Tran-Thanh , Zinovi Rabinovich , Michael Wooldridge

A growing body of work in game theory extends the traditional Stackelberg game to settings with one leader and multiple followers who play a Nash equilibrium. Standard approaches for computing equilibria in these games reformulate the…

Computer Science and Game Theory · Computer Science 2021-12-07 Kai Wang , Lily Xu , Andrew Perrault , Michael K. Reiter , Milind Tambe

The $1-N$ generalized Stackelberg game (single-leader multi-follower game) is intricately intertwined with the interaction between a leader and followers (hierarchical interaction) and the interaction among followers (simultaneous…

Computer Science and Game Theory · Computer Science 2023-06-12 Jaeyeon Jo , Jihwan Yu , Jinkyoo Park

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

In this paper, we consider a discrete-time stochastic Stackelberg game with a single leader and multiple followers. Both the followers and the leader together have conditionally independent private types, conditioned on action and previous…

Optimization and Control · Mathematics 2022-09-21 Deepanshu Vasal

We propose a two-layer, semi-decentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically, we focus on a single-leader, multiple-follower problem,…

Optimization and Control · Mathematics 2022-02-17 Filippo Fabiani , Mohammad Amin Tajeddini , Hamed Kebriaei , Sergio Grammatico

Stackelberg equilibrium is a solution concept in two-player games where the leader has commitment rights over the follower. In recent years, it has become a cornerstone of many security applications, including airport patrolling and…

Computer Science and Game Theory · Computer Science 2021-02-04 Chun Kai Ling , Noam Brown

Existing methods for learning Stackelberg equilibria typically assume that the followers' (variational, generalized) Nash equilibrium is unique. However, in the presence of multiple equilibria, without a selection convention, the problem…

Optimization and Control · Mathematics 2026-04-30 Silvia Cianchi , Anibal Sanjab , Sergio Grammatico

Stackelberg equilibrium is a solution concept that describes optimal strategies to commit: Player 1 (the leader) first commits to a strategy that is publicly announced, then Player 2 (the follower) plays a best response to the leader's…

Computer Science and Game Theory · Computer Science 2021-11-04 Aditya Aradhye , Branislav Bošanský , Michael Hlaváček

In this paper, we study the transmission strategy adaptation problem in an RF-powered cognitive radio network, in which hybrid secondary users are able to switch between the harvest-then-transmit mode and the ambient backscatter mode for…

Networking and Internet Architecture · Computer Science 2018-04-10 Wenbo Wang , Dinh Thai Hoang , Dusit Niyato , Ping Wang , Dong In Kim

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 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

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

Computer Science and Game Theory · Computer Science 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

We investigate a co-design problem, encompassing simultaneous design of system infrastructure and control, through a game-theoretical framework. To this end, we propose the co-design problem as a two-layer hierarchical strategic…

Systems and Control · Electrical Eng. & Systems 2025-08-18 Julian Barreiro-Gomez , Ye Wang

This paper is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-$\sigma$-algebra of that available to the leader. Such kind of…

Optimization and Control · Mathematics 2015-09-15 Jingtao Shi , Guangchen Wang , Jie Xiong

Motivated by the complex dynamics of cooperative and competitive interactions within networked agent systems, multi-cluster games provide a framework for modeling the interconnected goals of self-interested clusters of agents. For this…

Optimization and Control · Mathematics 2024-04-24 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

We initiate the study of structured Stackelberg games, a novel form of strategic interaction between a leader and a follower where contextual information can be predictive of the follower's (unknown) type. Motivated by applications such as…

Computer Science and Game Theory · Computer Science 2026-05-18 Maria-Florina Balcan , Kiriaki Fragkia , Keegan Harris
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