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This paper is concerned with a Stackelberg stochastic differential game with asymmetric noisy observation, with one follower and one leader. In our model, the follower cannot observe the state process directly, but could observe a noisy…

Optimization and Control · Mathematics 2020-07-14 Yueyang Zheng , Jingtao Shi

We consider a class of hierarchical multi-agent optimization problems over networks where agents seek to compute an approximate solution to a single-stage stochastic mathematical program with equilibrium constraints (MPEC). MPECs subsume…

Optimization and Control · Mathematics 2024-03-14 Mohammadjavad Ebrahimi , Uday V. Shanbhag , Farzad Yousefian

Batch reinforcement learning (RL) defines the task of learning from a fixed batch of data lacking exhaustive exploration. Worst-case optimality algorithms, which calibrate a value-function model class from logged experience and perform some…

Machine Learning · Statistics 2023-10-03 Wenzhuo Zhou , Annie Qu

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

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 investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

The aim of this paper is to perform a Stackelberg strategy to control parabolic equations. We have one control, \textit{the leader}, that is responsible for a null controllability property; additionally, we have a control \textit{the…

Optimization and Control · Mathematics 2016-10-20 Víctor Hernández-Santamaría , Luz de Teresa

Stackelberg routing platforms (SRP) reduce congestion in one-shot traffic networks by proposing optimal route recommendations to selfish travelers. Traditionally, Stackelberg routing is cast as a partial control problem where a fraction of…

Computer Science and Game Theory · Computer Science 2024-04-01 Doris E. M. Brown , Venkata Sriram Siddhardh Nadendla , Sajal K. Das

In this paper, we propose a hierarchical game approach to model the energy efficiency maximization problem where transmitters individually choose their channel assignment and power control. We conduct a thorough analysis of the existence,…

Information Theory · Computer Science 2016-11-15 Majed Haddad , Piotr Wiecek , Oussama Habachi , Yezekael Hayel

This paper is concerned with a Stackelberg stochastic differential game, where the systems are driven by stochastic differential equation (SDE for short), in which the control enters the randomly disturbed coefficients (drift and…

Optimization and Control · Mathematics 2021-08-12 Liangquan Zhang , Wei Zhang

Governments are motivated to subsidize profit-driven firms that manufacture zero-emission vehicles to ensure they become price-competitive. This paper introduces a dynamic Stackelberg game to determine the government's optimal subsidy…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Georges Zaccour

Mobile data offloading is an emerging technology to avoid congestion in cellular networks and improve the level of user satisfaction. In this paper, we develop a distributed market framework to price the offloading service, and conduct a…

Networking and Internet Architecture · Computer Science 2014-09-17 Kehao Wang , Francis C. M. Lau , Lin Chen , Robert Schober

In this paper, an incentive proactive cache mechanism in cache-enabled small cell networks (SCNs) is proposed, in order to motivate the content providers (CPs) to participate in the caching procedure. A network composed of a single mobile…

Information Theory · Computer Science 2016-09-12 Fei Shen , Kenza Hamidouche , Ejder Baştuğ , Mérouane Debbah

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

Optimization and Control · Mathematics 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

This paper focuses on a multi-agent zeroth-order online optimization problem in a federated learning setting for target tracking. The agents only sense their current distances to their targets and aim to maintain a minimum safe distance…

Machine Learning · Computer Science 2023-06-12 Ege C. Kaya , M. Berk Sahin , Abolfazl Hashemi

In this paper, we study last-iterate convergence of learning algorithms in bilinear saddle-point problems, a preferable notion of convergence that captures the day-to-day behavior of learning dynamics. We focus on the challenging setting…

Identifying shortest paths between nodes in a network is an important task in many applications. Recent work has shown that a malicious actor can manipulate a graph to make traffic between two nodes of interest follow their target path. In…

Social and Information Networks · Computer Science 2025-05-01 Benjamin A. Miller , Zohair Shafi , Wheeler Ruml , Yevgeniy Vorobeychik , Tina Eliassi-Rad , Scott Alfeld

The transition to Electric Vehicles (EVs) demands intelligent, congestion-aware infrastructure planning to balance user convenience, economic viability, and traffic efficiency. We present a joint optimisation framework for EV Charging…

Multiagent Systems · Computer Science 2026-03-24 Niloofar Aminikalibar , Farzaneh Farhadi , Maria Chli

In this paper, we consider a discrete-time Stackelberg mean field game with a leader and an infinite number of followers. The leader and the followers each observe types privately that evolve as conditionally independent controlled Markov…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Deepanshu Vasal , Randall Berry

This paper studies a discrete-time major-minor mean field game of stopping where the major player can choose either an optimal control or stopping time. We look for the relaxed equilibrium as a randomized stopping policy, which is…

Optimization and Control · Mathematics 2025-10-13 Xiang Yu , Jiacheng Zhang , Keyu Zhang , Zhou Zhou