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We present a new solution concept called evolutionarily stable Stackelberg equilibrium (SESS). We study the Stackelberg evolutionary game setting in which there is a single leading player and a symmetric population of followers. The leader…

Computer Science and Game Theory · Computer Science 2026-03-26 Sam Ganzfried

We study a memory-based Boolean game (MBBG) taking place on the regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free…

Physics and Society · Physics 2007-05-23 Zi-Gang Huang , Zhi-Xi Wu , Jian-Yue Guan , Ying-Hai Wang

In this paper, power control for two-tier small-cell networks in the uplink is investigated. We formulate the power control problem as a Stackelberg game, where the macrocell user equipment (MUE) acts as the leader and the small-cell user…

Information Theory · Computer Science 2019-02-26 Yanxiang Jiang , Hui Ge , Mehdi Bennis , Fu-Chun Zheng , Xiaohu You

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

Machine Learning · Computer Science 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek

Previous research has shown that federated learning (FL) systems are exposed to an array of security risks. Despite the proposal of several defensive strategies, they tend to be non-adaptive and specific to certain types of attacks,…

Machine Learning · Computer Science 2023-07-18 Yunian Pan , Tao Li , Henger Li , Tianyi Xu , Zizhan Zheng , Quanyan Zhu

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

Current research applying N-level Stackelberg Game to multi-agent systems often uses the default decision order of agents provided by the environment. However, this raises the question: does the order of agents necessarily affect the final…

Multiagent Systems · Computer Science 2026-05-11 Xiangyu Liu , Liang Zhang , Bo Jin , Ziqi Wei

The integration of distributed energy resources into transmission grid operations presents a complex challenge, particularly in the context of reactive power procurement for voltage support. This paper addresses this challenge by…

Optimization and Control · Mathematics 2025-08-13 Zhisen Jiang , Saverio Bolognani , Giuseppe Belgioioso

In this paper, a Stackelberg game is built to model the hierarchic power allocation of primary user (PU) network and secondary user (SU) network in OFDM-based cognitive radio (CR) networks. We formulate the PU and the SUs as the leader and…

Computer Science and Game Theory · Computer Science 2012-11-27 Tian Zhang , Wei Chen , Zhu Han , Zhigang Cao

From large-scale organizations to decentralized political systems, hierarchical strategic decision making is commonplace. We introduce a novel class of structured hierarchical games (SHGs) that formally capture such hierarchical strategic…

Computer Science and Game Theory · Computer Science 2022-06-28 Zun Li , Feiran Jia , Aditya Mate , Shahin Jabbari , Mithun Chakraborty , Milind Tambe , Yevgeniy Vorobeychik

We study a continuous-time stochastic Stackelberg game in which a leader seeks to accomplish a primary objective while inferring a hidden parameter of a rational follower. The follower solves an entropy-regularized tracking problem and…

Optimization and Control · Mathematics 2025-10-08 Ruimeng Hu , Daniel Ralston , Xu Yang , Haosheng Zhou

We study the problem of online learning in a two-player decentralized cooperative Stackelberg game. In each round, the leader first takes an action, followed by the follower who takes their action after observing the leader's move. The goal…

Machine Learning · Computer Science 2023-04-13 Geng Zhao , Banghua Zhu , Jiantao Jiao , Michael I. Jordan

The multilevel reverse Stackelberg game is considered. In this game, the leader controls the outcome by announcing a strategy as a function of decision variables of the followers to his/her own decision space. Corresponding to the leader's…

Optimization and Control · Mathematics 2023-03-01 Seyfe Belete Worku , Birilew Belayneh Tsegaw , Semu Mitiku Kassa

Fundamental theory on battery-powered cyber-physical systems (CPS) calls for dynamic models that are able to describe and predict the status of processors and batteries at any given time. We believe that the idealized system of single…

Systems and Control · Computer Science 2015-04-28 Z. Shi

We study the stochastic assignment game and extend it to model multimodal mobility markets with a regulator or a Mobility-as-a-Service (MaaS) platform. We start by presenting general forms of one-to-one and many-to-many stochastic…

Computer Science and Game Theory · Computer Science 2025-12-23 Bingqing Liu , David Watling , Joseph Y. J. Chow

This paper investigates cell-free massive multiple input multiple output systems with a particular focus on uplink power allocation. In these systems, uplink power control is highly non-trivial, since a single user terminal is associated…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Juno V. Saraiva , Roberto P. Antonioli , Gábor Fodor , Walter C. Freitas , Yuri C. B. Silva

The community in the future may develop into an integrated heat-power system, which includes a high proportion of renewable energy, power generator units, heat generator units, and shared hybrid energy storage. In the integrated heat-power…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Wenyi Zhang , Yue Chen , Rui Xie , Yunjian Xu

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

In this paper, we study a linear-quadratic partially observed Stackelberg stochastic differential game problem in which a single leader and multiple followers are involved. We consider more practical formulation for partial information that…

Optimization and Control · Mathematics 2026-05-14 Yichun Li , Yaozhong Hu , Jingtao Shi , Yueyang Zheng

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