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The increasing integration of renewable energy introduces a great challenge to the supply and demand balance of the power grid. To address this challenge, this paper formulates a Stackelberg Markov game (SMG) between an aggregator and…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Siying Huang , Yifen Mu , Ge Chen

We consider robust Markov Decision Processes with Borel state and action spaces, unbounded cost and finite time horizon. Our formulation leads to a Stackelberg game against nature. Under integrability, continuity and compactness assumptions…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Alexander Glauner

Min-max optimization problems (i.e., min-max games) have been attracting a great deal of attention because of their applicability to a wide range of machine learning problems. Although significant progress has been made recently, the…

Computer Science and Game Theory · Computer Science 2023-07-07 Denizalp Goktas , Amy Greenwald

Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

Computer Science and Game Theory · Computer Science 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu

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

Securing dynamic networks against adversarial actions is challenging because of the need to anticipate and counter strategic disruptions by adversarial entities within complex network structures. Traditional game-theoretic models, while…

Computational Complexity · Computer Science 2023-12-21 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

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

A key challenge in multi-agent systems is the design of intelligent agents solving real-world tasks in close interaction with other agents (e.g. humans), thereby being confronted with a variety of behavioral variations and limited knowledge…

Multiagent Systems · Computer Science 2020-07-13 Julian Bernhard , Alois Knoll

The present survey aims at presenting the current machine learning techniques employed in security games domains. Specifically, we focused on papers and works developed by the Teamcore of University of Southern California, which deepened…

Computer Science and Game Theory · Computer Science 2016-09-30 Giuseppe De Nittis , Francesco Trovò

Leader-follower general-sum stochastic games (LF-GSSGs) model sequential decision-making under asymmetric commitment, where a leader commits to a policy and a follower best responds, yielding a strong Stackelberg equilibrium (SSE) with…

Computer Science and Game Theory · Computer Science 2025-12-08 Jilles Steeve Dibangoye , Thibaut Le Marre , Ocan Sankur , François Schwarzentruber

We address the problem of assessing the robustness of the equilibria in uncertain, multi-agent games. Specifically, we focus on generalized Nash equilibrium problems in aggregative form subject to linear coupling constraints affected by…

Optimization and Control · Mathematics 2020-05-20 Filippo Fabiani , Kostas Margellos , Paul J. Goulart

In a stochastic Stackelberg asymmetric security game, the strong Stackelberg equilibrium (SSE) strategy is a popular option for the defender to get the highest utility against an attacker with the best response (BR) strategy. However, the…

Computer Science and Game Theory · Computer Science 2023-01-09 Zhaoyang Cheng , Guanpu Chen , Yiguang Hong

Formulating cyber-security problems with attackers and defenders as a partially observable stochastic game has become a trend recently. Among them, the one-sided two-player zero-sum partially observable stochastic game (OTZ-POSG) has…

Systems and Control · Electrical Eng. & Systems 2021-09-20 Wei Zheng , Taeho Jung , Hai Lin

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

This paper studies the problem of multi-step manipulative attacks in Stackelberg security games, in which a clever attacker attempts to orchestrate its attacks over multiple time steps to mislead the defender's learning of the attacker's…

Artificial Intelligence · Computer Science 2022-03-02 Thanh H. Nguyen , Arunesh Sinha

Modern Graphics Processing Unit (GPU)-backed services must satisfy strict latency service-level objectives (SLOs) while controlling spare-capacity cost. In multi-tenant GPU cloud platforms, this trade-off is inherently dynamic because…

Computer Science and Game Theory · Computer Science 2026-04-21 Junji Yan , Asrin Efe Yorulmaz , Hanchen Zhou , Tamer Başar

Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately, only stylized Stackelberg games are explicitly solvable…

Optimization and Control · Mathematics 2024-11-15 Guillermo Alvarez , Ibrahim Ekren , Anastasis Kratsios , Xuwei Yang

Stochastic patrol routing is known to be advantageous in adversarial settings; however, the optimal choice of stochastic routing strategy is dependent on a model of the adversary. We adopt a worst-case omniscient adversary model from the…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Yohan John , Gilberto Diaz-Garcia , Xiaoming Duan , Jason R. Marden , Francesco Bullo

We extend the weak-strong uniqueness principle for mean-field game (MFG) systems to a broad class of second-order stationary and time-dependent problems. Under standard monotonicity, growth, and coercivity assumptions on the Hamiltonian,…

Analysis of PDEs · Mathematics 2026-04-02 Rita Ferreira , Diogo Gomes , Bashayer Majrashi

Game-theoretic approaches are envisioned to bring human-like reasoning skills and decision-making processes for autonomous vehicles (AVs). However, challenges including game complexity and incomplete information still remain to be addressed…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Mushuang Liu , H. Eric Tseng , Dimitar Filev , Anouck Girard , Ilya Kolmanovsky
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