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Related papers: Stabilization of Stackelberg Game-Based Control Sy…

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It is shown in recent studies that in a Stackelberg game the follower can manipulate the leader by deviating from their true best-response behavior. Such manipulations are computationally tractable and can be highly beneficial for the…

Computer Science and Game Theory · Computer Science 2023-02-28 Yurong Chen , Xiaotie Deng , Jiarui Gan , Yuhao Li

We consider the multi-agent spatial navigation problem of computing the socially optimal order of play, i.e., the sequence in which the agents commit to their decisions, and its associated equilibrium in an N-player Stackelberg trajectory…

Robotics · Computer Science 2024-06-26 Haimin Hu , Gabriele Dragotto , Zixu Zhang , Kaiqu Liang , Bartolomeo Stellato , Jaime F. Fisac

We analyze a market impact game between $n$ risk averse agents who compete for liquidity in a market impact model with permanent price impact and additional slippage. Most market parameters, including volatility and drift, are allowed to…

Trading and Market Microstructure · Quantitative Finance 2020-01-06 Samuel Drapeau , Peng Luo , Alexander Schied , Dewen Xiong

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

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

In many settings of interest, a policy is set by one party, the leader, in order to influence the action of another party, the follower, where the follower's response is determined by some private information. A natural question to ask is,…

Computer Science and Game Theory · Computer Science 2025-04-23 Michael Albert , Quinlan Dawkins , Minbiao Han , Haifeng Xu

In this paper, we establish a dynamic game to allocate CSR (Corporate Social Responsibility) to the members of a supply chain. We propose a model of a three-tier supply chain in a decentralized state which includes a supplier, a…

Optimization and Control · Mathematics 2015-06-23 Mehrnoosh Khademi , Massimiliano Ferrara , Mehdi Salimi , Somayeh Sharifi

Hierarchical decision making problems, such as bilevel programs and Stackelberg games, are attracting increasing interest in both the engineering and machine learning communities. Yet, existing solution methods lack either convergence…

Optimization and Control · Mathematics 2024-03-29 Panagiotis D. Grontas , Giuseppe Belgioioso , Carlo Cenedese , Marta Fochesato , John Lygeros , Florian Dörfler

We investigate the robust Stackelberg null controllability of a one-dimensional forward linear stochastic Kuramoto--Sivashinsky--Korteweg--de Vries (KS--KdV) equation. The control framework is formulated as a hierarchical Stackelberg game…

Optimization and Control · Mathematics 2026-04-14 Abdellatif Elgrou , Omar Oukdach , Abdelaziz Rhandi

Stackelberg games (SGs) constitute the most fundamental and acclaimed models of strategic interactions involving some form of commitment. Moreover, they form the basis of more elaborate models of this kind, such as, e.g., Bayesian…

Computer Science and Game Theory · Computer Science 2024-05-14 Francesco Bacchiocchi , Matteo Bollini , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In this paper, we employ a hypergame framework to analyze the single-leader-multiple-followers (SLMF) Stackelberg security game with two typical misinformed situations: misperception and deception. We provide a stability criterion with the…

Computer Science and Game Theory · Computer Science 2022-03-29 Zhaoyang Cheng , Guanpu Chen , Yiguang Hong

In order to balance the interests of integrated energy operator (IEO) and users, a novel Stackelberg game-based optimization framework is proposed for the optimal scheduling of integrated demand response (IDR)-enabled integrated energy…

Signal Processing · Electrical Eng. & Systems 2021-03-16 Yang Li , Chunling Wang , Guoqing Li , Chen Chen

In this paper, we study a class of two-player deterministic finite-horizon difference games with coupled inequality constraints, where each player has two types of decision variables: one involving sequential interactions and the other…

Optimization and Control · Mathematics 2025-10-20 Partha Sarathi Mohapatra , Puduru Viswanadha Reddy , Georges Zaccour

In this work, a novel Stackelberg game theoretic framework is proposed for trading energy bidirectionally between the demand-response (DR) aggregator and the prosumers. This formulation allows for flexible energy arbitrage and additional…

Machine Learning · Computer Science 2024-10-28 Styliani I. Kampezidou , Justin Romberg , Kyriakos G. Vamvoudakis , Dimitri N. Mavris

In this study, we explore the application of game theory, in particular Stackelberg games, to address the issue of effective coordination strategy generation for heterogeneous robots with one-way communication. To that end, focusing on the…

Robotics · Computer Science 2023-08-01 Yuhan Zhao , Baichuan Huang , Jingjin Yu , Quanyan Zhu

Remote estimation is a crucial element of real time monitoring of a stochastic process. While most of the existing works have concentrated on obtaining optimal sampling strategies, motivated by malicious attacks on cyber-physical systems,…

Information Theory · Computer Science 2024-12-03 Atahan Dokme , Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

This paper addresses a linear-quadratic Stackelberg mean field (MF) games and teams problem with arbitrary population sizes, where the game among the followers is further categorized into two types: non-cooperative and cooperative, and the…

Optimization and Control · Mathematics 2024-12-24 Wenyu Cong , Jingtao Shi , Bingchang 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

In this paper, we consider a linear quadratic (LQ) leader-follower stochastic differential game for regime switching diffusions with mean-field interactions. One of the salient features of this paper is that conditional mean-field terms are…

Optimization and Control · Mathematics 2022-08-02 Siyu Lv , Jie Xiong , Xin Zhang

We first study an optimal stopping problem in which a player (an agent) uses a discrete stopping time in order to stop optimally a payoff process whose risk is evaluated by a (non-linear) $g$-expectation. We then consider a non-zero-sum…

Probability · Mathematics 2017-05-11 Miryana Grigorova , Marie-Claire Quenez