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In this work, we use a Stackelberg infinite discrete-time dynamic game model to study the optimal supply schedule and the optimal demand response under a market-driven dynamic price. A two-layer optimization framework is established. At the…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Yunhan Huang

In this paper, we introduce the third party to achieve the Stackelberg equilibrium with the time inconsistency in three different Stackelberg games, which are the discrete-time games, the dynamic games, and the mean field games. Here all…

Optimization and Control · Mathematics 2024-07-29 Yiming Jiang , Yawei Wei , Jie Xue

We introduce the application of online learning in a Stackelberg game pertaining to a system with two learning agents in a dyadic exchange network, consisting of a supplier and retailer, specifically where the parameters of the demand…

Computational Engineering, Finance, and Science · Computer Science 2024-10-15 Larkin Liu , Yuming Rong

We consider the problem of efficiently learning to play single-leader multi-follower Stackelberg games when the leader lacks knowledge of the lower-level game. Such games arise in hierarchical decision-making problems involving…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Anna Maddux , Marko Maljkovic , Nikolas Geroliminis , Maryam Kamgarpour

Nonzero-sum stochastic differential games with impulse controls offer a realistic and far-reaching modelling framework for applications within finance, energy markets, and other areas, but the difficulty in solving such problems has…

Numerical Analysis · Mathematics 2020-06-29 Diego Zabaljauregui

We consider a two-player zero-sum network routing game in which a router wants to maximize the amount of legitimate traffic that flows from a given source node to a destination node and an attacker wants to block as much legitimate traffic…

Computer Science and Game Theory · Computer Science 2020-03-13 David Grimsman , Joao P Hespanha , Jason R Marden

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

Computer Science and Game Theory · Computer Science 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

This paper proposes a peer-to-peer energy trading scheme that can help the centralized power system to reduce the total electricity demand of its customers at the peak hour. To do so, a cooperative Stackelberg game is formulated, in which…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Wayes Tushar , Tapan Kumar Saha , Chau Yuen , Thomas Morstyn , Nahid-Al-Masood , H. Vincent Poor , Richard Bean

This paper investigates a robust incentive Stackelberg stochastic differential game problem for a linear-quadratic mean field system, where the model uncertainty appears in the drift term of the leader's state equation. Moreover, both the…

Optimization and Control · Mathematics 2026-03-31 Na Xiang , Jingtao Shi

In sponsored content and service markets, the content and service providers are able to subsidize their target mobile users through directly paying the mobile network operator, to lower the price of the data/service access charged by the…

Networking and Internet Architecture · Computer Science 2021-08-17 Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Zhu Han

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

This paper studies multi-user communication systems with two groups of users: leaders which possess system information, and followers which have no system information using the formulation of Stackelberg games. In such games, the leaders…

Information Theory · Computer Science 2011-08-26 saeedeh parsaeefard , Mihaela van der Schaar , Ahmad R. Sharafat

In a Stackelberg game, a leader commits to a randomized strategy, and a follower chooses their best strategy in response. We consider an extension of a standard Stackelberg game, called a discrete-time dynamic Stackelberg game, that has an…

Computer Science and Game Theory · Computer Science 2022-02-11 Niklas Lauffer , Mahsa Ghasemi , Abolfazl Hashemi , Yagiz Savas , Ufuk Topcu

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi

Demand-side management (DSM) enables distribution system operators (DSOs) to steer electricity consumption through dynamic price signals or incentive mechanisms, thereby leveraging end-users' flexibility potential for delivering grid…

Optimization and Control · Mathematics 2026-05-04 Silvia Cianchi , Reza Rahimi Baghbadorani , Anibal Sanjab , Sergio Grammatico

As machine learning algorithms increasingly influence critical decision making in different application areas, understanding human strategic behavior in response to these systems becomes vital. We explore individuals' choice between…

Machine Learning · Computer Science 2026-03-17 Sura Alhanouti , Parinaz Naghizadeh

We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

Computer Science and Game Theory · Computer Science 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

In this paper, we study the transmission strategy adaptation problem in an RF-powered cognitive radio network, in which hybrid secondary users are able to switch between the harvest-then-transmit mode and the ambient backscatter mode for…

Networking and Internet Architecture · Computer Science 2018-04-10 Wenbo Wang , Dinh Thai Hoang , Dusit Niyato , Ping Wang , Dong In Kim

We introduce a reinforcement learning framework for economic design where the interaction between the environment designer and the participants is modeled as a Stackelberg game. In this game, the designer (leader) sets up the rules of the…

Computer Science and Game Theory · Computer Science 2024-07-22 Gianluca Brero , Alon Eden , Darshan Chakrabarti , Matthias Gerstgrasser , Amy Greenwald , Vincent Li , David C. Parkes

We provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with target constraints. More precisely, we consider a…

Optimization and Control · Mathematics 2026-05-14 Camilo Hernández , Nicolás Hernández Santibáñez , Emma Hubert , Dylan Possamaï