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This paper presents a multi-agent Deep Reinforcement Learning (DRL) framework for autonomous control and integration of renewable energy resources into smart power grid systems. In particular, the proposed framework jointly considers demand…

Game theory is a powerful analytical tool for modeling decision makers strategies, behaviors and interactions. Act and decisions of a decision maker can benefit or negatively impact other decision makers interests. Game theory has been…

Systems and Control · Computer Science 2018-05-01 Ali Mohammadi , Sanaz Rabinia

We introduce a simple stochastic dynamics for game theory. It assumes ``local'' rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from…

Statistical Mechanics · Physics 2008-11-23 Matteo Marsili , Yi-Cheng Zhang

We propose a mean field game (MFG) framework to model the evolution of renewable energy production in competitive electricity markets. Producers interact through the spot price while optimising their profits under production, installation,…

Optimization and Control · Mathematics 2026-03-25 Luciano Campi , Zhuoshu Wu

Over the past decade, the continuous surge in cloud computing demand has intensified data center workloads, leading to significant carbon emissions and driving the need for improving their efficiency and sustainability. This paper focuses…

Computer Science and Game Theory · Computer Science 2024-05-29 Enno Breukelman , Sophie Hall , Giuseppe Belgioioso , Florian Dörfler

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

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

This article investigates the problem of dynamic spectrum access for canonical wireless networks, in which the channel states are time-varying. In the most existing work, the commonly used optimization objective is to maximize the…

Information Theory · Computer Science 2017-07-31 Yuhua Xu , Jinlong Wang , Qihui Wu , Jianchao Zheng , Liang Shen , Alagan Anpalagan

The problem of minimizing mean response time of generic jobs submitted to a heterogenous distributed computer systems is considered in this paper. A static load balancing strategy, in which decision of redistribution of loads does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-09 S. A. Mondal

This paper presents a dynamic game framework to analyze the role of large banks in interbank markets. By extending existing models, we incorporate a large bank as a dynamic decision-maker interacting with multiple small banks. Using the…

Mathematical Finance · Quantitative Finance 2025-04-22 Yuanyuan Chang , Dena Firoozi , David Benatia

We propose a new mean-field game model with two states to study synchronization phenomena, and we provide a comprehensive characterization of stationary and dynamic equilibria along with their stability properties. The game undergoes a…

Optimization and Control · Mathematics 2024-08-21 Felix Höfer , H. Mete Soner

The assignment of tasks to multiple resources becomes an interesting game theoretic problem, when both the task owner and the resources are strategic. In the classical, nonstrategic setting, where the states of the tasks and resources are…

Computer Science and Game Theory · Computer Science 2012-02-20 Swaprava Nath , Onno Zoeter , Yadati Narahari , Christopher R. Dance

The dynamic load balancing algorithm based on the monitoring server load, self-similar characteristics of passing traffic have to provide a statistically uniform load distribution on servers, high performance, fault tolerance and capacity,…

Networking and Internet Architecture · Computer Science 2019-04-22 Lyudmila Kirichenko , Igor Ivanisenko , Tamara Radivilova

We pose an engineering challenge of controlling an Ensemble of Energy Devices via coordinated, implementation-light and randomized on/off switching as a problem in Non-Equilibrium Statistical Mechanics. We show that Mean Field Control} with…

Systems and Control · Computer Science 2020-02-19 David Métivier , Michael Chertkov

Minimizing the peak power consumption and matching demand to supply, under fixed threshold polices, are two key requirements for the success of the future electricity market. In this work, we consider dynamic pricing methods to minimize the…

Optimization and Control · Mathematics 2016-10-26 Zaid Almahmoud , Jacob Crandall , Khaled Elbassioni , Trung Thanh Nguyen , Mardavij Roozbehani

The uncertainty in the power supply due to fluctuating Renewable Energy Sources (RES) has severe (financial and other) implications for energy market players. In this paper, we present a device-level Demand Response (DR) scheme that…

Computational Engineering, Finance, and Science · Computer Science 2018-05-03 Bijay Neupane , Torben Bach Pedersen , Bo Thiesson

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Recent communication, computation, and technology advances coupled with climate change concerns have transformed the near future prospects of electricity transmission, and, more notably, distribution systems and microgrids. Distributed…

Systems and Control · Computer Science 2015-04-17 Bowen Zhang , John Baillieul

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

This paper considers decentralized control and optimization methodologies for large populations of systems, consisting of several agents with different individual behaviors, constraints and interests, and affected by the aggregate behavior…

Systems and Control · Computer Science 2016-11-15 Sergio Grammatico , Francesca Parise , Marcello Colombino , John Lygeros