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This paper is concerned with a three-level multi-leader-follower incentive Stackelberg game with $H_\infty$ constraint. Based on $H_2/H_\infty$ control theory, we firstly obtain the worst-case disturbance and the team-optimal strategy by…

Optimization and Control · Mathematics 2024-12-13 Na Xiang , Jingtao Shi

We propose a two-layer, semi-decentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically, we focus on a single-leader, multiple-follower problem,…

Optimization and Control · Mathematics 2022-02-17 Filippo Fabiani , Mohammad Amin Tajeddini , Hamed Kebriaei , Sergio Grammatico

This paper analyzes a finite horizon dynamic signaling game motivated by the well-known strategic information transmission problems in economics. The mathematical model involves information transmission between two agents, a sender who…

Systems and Control · Computer Science 2016-11-17 Muhammed Sayin , Emrah Akyol , Tamer Basar

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Player 1, Player 2 and Player 3. Player 3 acts as the leader of…

Optimization and Control · Mathematics 2022-10-24 Kaixin Kang , Jingtao Shi

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

This paper investigates the convergence of learning dynamics in Stackelberg games. In the class of games we consider, there is a hierarchical game being played between a leader and a follower with continuous action spaces. We establish a…

Computer Science and Game Theory · Computer Science 2024-12-07 Tanner Fiez , Benjamin Chasnov , Lillian J. Ratliff

Smart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete…

Computer Science and Game Theory · Computer Science 2018-07-24 Matthias Pilz , Luluwah Al-Fagih

The community in the future may develop into an integrated heat-power system, which includes a high proportion of renewable energy, power generator units, heat generator units, and shared hybrid energy storage. In the integrated heat-power…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Wenyi Zhang , Yue Chen , Rui Xie , Yunjian Xu

This work studies the decentralized and uncoordinated energy source selection problem for smart-grid consumers with heterogeneous energy profiles and risk attitudes: they compete for a limited amount of renewable energy in their local…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Eleni Stai , Evangelia Kokolaki , Lesia Mitridati , Petros Tatoulis , Ioannis Stavrakakis , Gabriela Hug

Motivated by the omnipresence of hierarchical structures in many real-world applications, this study delves into the intricate realm of bi-level games, with a specific focus on exploring local Stackelberg equilibria as a solution concept.…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

This paper investigates effects of realistic, non-ideal, decisions of energy users as to whether to participate in an energy trading system proposed for demand-side management of a residential community. The energy trading system adopts a…

Computer Science and Game Theory · Computer Science 2016-05-10 Chathurika P. Mediwaththe , David B. Smith

The dynamic pricing of electricity is one of the most crucial demand response (DR) strategies in smart grid, where the utility company typically adjust electricity prices to influence user electricity demand. This paper models the…

Optimization and Control · Mathematics 2024-07-16 Jiangjiang Cheng , Ge Chen , Zhouming Wu , Yifen Mu

The $1-N$ generalized Stackelberg game (single-leader multi-follower game) is intricately intertwined with the interaction between a leader and followers (hierarchical interaction) and the interaction among followers (simultaneous…

Computer Science and Game Theory · Computer Science 2023-06-12 Jaeyeon Jo , Jihwan Yu , Jinkyoo Park

This paper studies an optimal allocation of demand response (DR) provisions among strategic photovoltaic (PV) prosumers, through third-party DR providers which operate within the territory of the regulated distribution utility. A game…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Sayyid Mohssen Sajjadi , Meng Wu

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

Machine Learning · Computer Science 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

A decentralized network of cognitive and non-cognitive transmitters where each transmitter aims at maximizing his energy-efficiency is considered. The cognitive transmitters are assumed to be able to sense the transmit power of their…

Information Theory · Computer Science 2013-04-16 Mael Le Treust , Samson Lasaulce , Yezekael Hayel , Gaoning He

With a sponsored content scheme in a wireless network, a sponsored content service provider can pay to a network operator on behalf of the mobile users/subscribers to lower down the network subscription fees at the reasonable cost in terms…

Computer Science and Game Theory · Computer Science 2018-08-18 Zehui Xiong , Shaohan Feng , Dusit Niyato , Ping Wang , Amir Leshem , Yang Zhang

In this paper, we propose a new definition of sustainability that includes dynamics and equity. We propose a theoretical framework that allows finding a fair equilibrium and sustainable strategies for all stakeholders. The goal is to…

Optimization and Control · Mathematics 2021-09-06 Sana Ben Abdallah , Dhafer Saidane , Mihaly Petreczky

In this paper, we introduce a novel equilibrium concept, called the equilibrium cycle, which seeks to capture the outcome of oscillatory game dynamics. Unlike the (pure) Nash equilibrium, which defines a fixed point of mutual best…

Theoretical Economics · Economics 2025-10-07 Tushar Shankar Walunj , Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

Modern control systems are featured by their hierarchical structure composing of cyber, physical, and human layers. The intricate dependencies among multiple layers and units of modern control systems require an integrated framework to…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Yunhan Huang , Juntao Chen , Linan Huang , Quanyan Zhu
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