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This paper is concerned with the closed-loop Stackelberg strategy for linear-quadratic leader-follower game. Completely different from the open-loop and feedback Stackelberg strategy, the solvability of the closed-loop solution even the…

Optimization and Control · Mathematics 2024-03-19 Hongdan Li , Juanjuan Xu , Hunashui Zhang

Despite many distributed resource allocation (DRA) algorithms have been reported in literature, it is still unknown how to allocate the resource optimally over multiple interacting coalitions. One major challenge in solving such a problem…

Optimization and Control · Mathematics 2025-09-24 Jialing Zhou , Guanghui Wen , Yuezu Lv , Tao Yang , Guanrong Chen

We study policy optimization in Stackelberg mean field games (MFGs), a hierarchical framework for modeling the strategic interaction between a single leader and an infinitely large population of homogeneous followers. The objective can be…

Machine Learning · Computer Science 2025-11-27 Sihan Zeng , Benjamin Patrick Evans , Sujay Bhatt , Leo Ardon , Sumitra Ganesh , Alec Koppel

In this paper, we investigate a new model of a linear-quadratic mean-field stochastic Stackelberg differential game with one leader and two followers, in which the leader is allowed to stop her strategy at a random time. Our overarching…

Optimization and Control · Mathematics 2021-06-08 Zhun Gou , Nan-jing Huang , Ming-hui Wang

This paper considers a non-cooperative game in which competing users sharing a frequency-selective interference channel selfishly optimize their power allocation in order to improve their achievable rates. Previously, it was shown that a…

Computer Science and Game Theory · Computer Science 2008-11-04 Yi Su , Mihaela van der Schaar

We investigate the linear quadratic Gaussian Stackelberg game under a class of nested observation information pattern. Two decision makers implement control strategies relying on different information sets: The follower uses its observation…

Optimization and Control · Mathematics 2022-06-07 Zhipeng Li , Damian Marelli , Minyue Fu , Huanshui Zhang

Demand-side management is very critical in China's energy systems because of its high fossil energy consumption and low system energy efficiency. A building shape factor is introduced in describing the architectural characteristics of…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Limeng Wang , Ranran Yang , Yang Qu , Chengzhe Xu

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

Computer Science and Game Theory · Computer Science 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

This paper studies the distributed generalized Nash equilibrium seeking problem for aggregative games with coupling constraints, where each player optimizes its strategy depending on its local cost function and the estimated strategy…

Optimization and Control · Mathematics 2025-03-12 Wenqing Zhao , Antai Xie , Yuchi Wu , Xinlei Yi , Xiaoqiang Ren

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…

Optimization and Control · Mathematics 2021-09-28 Chao Sun , Guoqiang Hu

We discuss an open-loop backward Stackelberg differential game involving single leader and single follower. Unlike most Stackelberg game literature, the state to be controlled is characterized by a backward stochastic differential equation…

Optimization and Control · Mathematics 2021-04-06 Xinwei Feng , Ying Hu , Jianhui Huang

We present a linear--quadratic Stackelberg game with a large number of followers and we also derive the mean field limit of infinitely many followers. The relation between optimization and mean-field limit is studied and conditions for…

Optimization and Control · Mathematics 2020-11-09 Michael Herty , Sonja Steffensen , Anna Thünen

There has been significant recent interest in game-theoretic approaches to security, with much of the recent research focused on utilizing the leader-follower Stackelberg game model. Among the major applications are the ARMOR program…

Computer Science and Game Theory · Computer Science 2014-01-17 Dmytro Korzhyk , Zhengyu Yin , Christopher Kiekintveld , Vincent Conitzer , Milind Tambe

Equilibrium refinements are important in extensive-form (i.e., tree-form) games, where they amend weaknesses of the Nash equilibrium concept by requiring sequential rationality and other beneficial properties. One of the most attractive…

Computer Science and Game Theory · Computer Science 2018-11-12 Alberto Marchesi , Gabriele Farina , Christian Kroer , Nicola Gatti , Tuomas Sandholm

This paper is concerned with a linear-quadratic partially observed mean field Stackelberg stochastic differential game, which contains a leader and a large number of followers. Specifically, the followers confront a large-population Nash…

Optimization and Control · Mathematics 2025-12-09 Yu Si , Yueyang Zheng , Jingtao Shi

Strong Stackelberg equilibrium (SSE) is the standard solution concept of Stackelberg security games. As opposed to the weak Stackelberg equilibrium (WSE), the SSE assumes that the follower breaks ties in favor of the leader and this is…

Computer Science and Game Theory · Computer Science 2018-11-12 Qingyu Guo , Jiarui Gan , Fei Fang , Long Tran-Thanh , Milind Tambe , Bo An

In security games, the solution concept commonly used is that of a Stackelberg equilibrium where the defender gets to commit to a mixed strategy. The motivation for this is that the attacker can repeatedly observe the defender's actions and…

Computer Science and Game Theory · Computer Science 2016-10-17 Vincent Conitzer

Stackelberg equilibria have become increasingly important as a solution concept in computational game theory, largely inspired by practical problems such as security settings. In practice, however, there is typically uncertainty regarding…

Computer Science and Game Theory · Computer Science 2017-11-23 Christian Kroer , Gabriele Farina , Tuomas Sandholm

Social media platforms are ecosystems in which many decisions are constantly made for the benefit of the creators in order to maximize engagement, which leads to a maximization of income. The decisions, ranging from collaboration to public…

Computer Science and Game Theory · Computer Science 2025-06-09 Arjan Khadka

Information asymmetry in games enables players with the information advantage to manipulate others' beliefs by strategically revealing information to other players. This work considers a double-sided information asymmetry in a Bayesian…

Computer Science and Game Theory · Computer Science 2023-08-29 Tao Li , Quanyan Zhu