English
Related papers

Related papers: Stackelberg games with the third party

200 papers

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

Computer Science and Game Theory · Computer Science 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behavior of stochastic dynamics of spatial games with multiple…

Statistical Mechanics · Physics 2009-11-10 Jacek Miekisz

This paper addresses a Stackelberg stochastic linear-quadratic (LQ) differential game under closed-loop information, a problem inherently time-inconsistent. Existing approaches rely on solving two coupled Hamilton-Jacobi-Bellman (HJB)…

Optimization and Control · Mathematics 2026-04-27 Qi Lü , Bowen Ma , Hanxiao Wang

Routing games are used to to understand the impact of individual users' decisions on network efficiency. Most prior work on routing games uses a simplified model of network flow where all flow exists simultaneously, and users care about…

Computer Science and Game Theory · Computer Science 2015-03-17 Umang Bhaskar , Lisa Fleischer , Elliot Anshelevich

Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they often fail to capture critical non-linearities inherent in…

Optimization and Control · Mathematics 2025-05-09 Julian Barreiro-Gomez , Tyrone E. Duncan , Bozenna Pasik-Duncan , Hamidou Tembine

This paper is devoted to a Stackelberg stochastic differential game for a linear mean-field type stochastic differential system with a mean-field type quadratic cost functional in finite horizon. The coefficients in the state equation and…

Optimization and Control · Mathematics 2023-08-22 Zixuan Li , Jingtao Shi

In this paper, a partially observed stochastic linear Stackelberg differential game with mean-variance criteria is studied. Randomness comes from Brownian motions and Poisson random measures. which leads to a circular dependency. We follow…

Optimization and Control · Mathematics 2026-01-27 Jingtao Lin , Jingtao Shi

We study a multi-agent setting in which brokers transact with an informed trader. Through a sequential Stackelberg-type game, brokers manage trading costs and adverse selection with an informed trader. In particular, supplying liquidity to…

Trading and Market Microstructure · Quantitative Finance 2025-11-13 Ryan Donnelly , Zi Li

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

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

In the context of reducing carbon emissions in the automotive supply chain, collaboration between vehicle manufacturers and retailers has proven to be an effective measure for enhancing carbon emission reduction within the enterprise. This…

Computer Science and Game Theory · Computer Science 2023-06-13 Yukun Cheng , Zhanghao Yao , Xinxin Wang

The paper is concerned with the study of a control system consisting of one major agent and many identical minor agents in the limit case when the number of agents tends to infinity. To study the limiting system we use the mean field…

Optimization and Control · Mathematics 2022-12-13 Yurii Averboukh

This paper is concerned with a new type of differential game problems of forwardbackward stochastic systems. There are three distinguishing features: Firstly, our game systems are forward-backward doubly stochastic differential equations,…

Optimization and Control · Mathematics 2015-10-09 Eddie C. M. Hui , Hua Xiao

This paper introduces a differentially private (DP) mechanism to protect the information exchanged during the coordination of sequential and interdependent markets. This coordination represents a classic Stackelberg game and relies on the…

Optimization and Control · Mathematics 2020-04-20 Ferdinando Fioretto , Lesia Mitridati , Pascal Van Hentenryck

In this paper, the two-player leader-follower game with private inputs for feedback Stackelberg strategy is considered. In particular, the follower shares its measurement information with the leader except its historical control inputs…

Optimization and Control · Mathematics 2023-09-18 Yue Sun , Hongdan Li , Huanshui Zhang

This paper studies the optimal mechanisms for the vertically integrated utility to dispatch and incentivize the third-party demand response (DR) providers in its territory. A framework is proposed, with three-layer coupled Stackelberg and…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Sayyid Mohssen Sajjadi , Meng Wu

Dynamic noncooperative game theory is a field of mathematics and economics in which a lot of research is being carried out at present featuring a great number of applications in many different areas of economics and management science like…

Optimization and Control · Mathematics 2014-09-19 Philipp Hungerländer

We formulate a Stackelberg game between an attacker and a defender of a power system. The attacker attempts to alter the load setpoints of the power system covertly and intelligently, so that the voltage stability margin of the grid is…

Systems and Control · Electrical Eng. & Systems 2020-09-14 Lu An , Aranya Chakrabortty , Alexandra Duel-Hallen

Motivated by a product pricing problem, a linear-quadratic Stackelberg differential game for a regime switching system involving one leader and two followers is studied. The two followers engage in a zero-sum differential game, and both the…

Optimization and Control · Mathematics 2026-03-31 Pengyan Huang , Na Li , Zuo Quan Xu , Harry Zheng

We propose a market designed using game theory to optimally utilize the flexibility of distributed energy resources (DERs) like solar, batteries, electric vehicles, and flexible loads. Market agents perform multiperiod optimization to…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Vineet Jagadeesan Nair , Anuradha Annaswamy