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Mean field approximation is a powerful technique to study the performance of large stochastic systems represented as $n$ interacting objects. Applications include load balancing models, epidemic spreading, cache replacement policies, or…

Performance · Computer Science 2021-11-03 Sebastian Allmeier , Nicolas Gast

We use the Markov chain approximation method to construct approximations for the solution of the mean field game (MFG) with reflecting barriers studied in Bayraktar, Budhiraja, and Cohen (2017). The MFG is formulated in terms of a…

Optimization and Control · Mathematics 2018-08-28 Erhan Bayraktar , Amarjit Budhiraja , Asaf Cohen

This work tackles the problem of energy-efficient distributed power control in wireless networks with a large number of transmitters. The problem is modeled by a dynamic game. Each transmitter-receiver communication is characterized by a…

Information Theory · Computer Science 2013-01-30 François Mériaux , Vineeth Varma , Samson Lasaulce

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

How do rational agents self-organize when trying to connect to a common target? We study this question with a simple tree formation game which is related to the well-known fair single-source connection game by Anshelevich et al. (FOCS'04)…

Computer Science and Game Theory · Computer Science 2020-09-24 Davide Bilò , Tobias Friedrich , Pascal Lenzner , Anna Melnichenko , Louise Molitor

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 Mean Field Games of Controls, the dynamics of the single agent is influenced not only by the distribution of the agents, as in the classical theory, but also by the distribution of their optimal strategies. In this paper, we study…

Analysis of PDEs · Mathematics 2023-02-01 Fabio Camilli , Claudio Marchi

In this paper, a novel approach for joint power control and user scheduling is proposed for optimizing energy efficiency (EE), in terms of bits per unit power, in ultra dense small cell networks (UDNs). To address this problem, a dynamic…

Information Theory · Computer Science 2016-05-02 Sumudu Samarakoon , Mehdi Bennis , Walid Saad , Mérouane Debbah , Matti Latva-aho

In this paper, we investigate the computation of second-price pacing equilibria (SPPEs), a foundational model in online advertising auctions. We present a polynomial-time algorithm for computing exact SPPEs in instances with a constant…

Computer Science and Game Theory · Computer Science 2026-05-12 Yiyang Huang , Yonglei Yan , Zihe Wang , Zhengyang Liu

We study routing games where every agent sequentially decides her next edge when she obtains the green light at each vertex. Because every edge only has capacity to let out one agent per round, an edge acts as a FIFO waiting queue that…

Computer Science and Game Theory · Computer Science 2018-10-29 Anisse Ismaili

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other…

Trading and Market Microstructure · Quantitative Finance 2025-04-16 Ryan Donnelly , Zi Li

In this paper, we propose a novel user-cell association approach for wireless small cell networks that exploits previously unexplored context information extracted from users' devices, i.e., user equipments (UEs). Beyond characterizing…

Computer Science and Game Theory · Computer Science 2013-07-11 Francesco Pantisano , Mehdi Bennis , Walid Saad , Stefan Valentin , Mérouane Debbah

Emergence of various types of services has brought about explosive growth of traffic as well as diversified traffic characteristics in the cellular networks. To have a comprehensive understanding of the influences caused by various traffic…

Information Theory · Computer Science 2020-06-17 Le Yang , Fu-Chun Zheng , Shi Jin

Here, we examine a mean-field game (MFG) that models the economic growth of a population of non-cooperative rational agents. In this MFG, agents are described by two state variables - the capital and consumer goods they own. Each agent…

Analysis of PDEs · Mathematics 2019-07-26 Diogo Gomes , Laurent Lafleche , Levon Nurbekyan

Mean field games (MFGs) are a promising framework for modeling the behavior of large-population systems. However, solving MFGs can be challenging due to the coupling of forward population evolution and backward agent dynamics. Typically,…

Machine Learning · Computer Science 2024-07-17 Chenyu Zhang , Xu Chen , Xuan Di

The rapid increase of photovoltaic cells, batteries, and Electric Vehicles (EVs) in electric grids can result in congested distribution networks. An alternative to enhancing network capacity is a redispatch market, allowing Distribution…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Amirreza Silani , Simon H. Tindemans

Cell-free massive multiple-input multiple-output (CF mMIMO) provides good interference management by coordinating many more access points (APs) than user equipments (UEs). It becomes challenging to determine which APs should serve which UEs…

Information Theory · Computer Science 2022-12-06 Shuaifei Chen , Jiayi Zhang , Emil Björnson , Bo Ai

Mobile edge caching (MEC) is a promising technique to improve the quality of service (QoS) for mobile users (MU) by bringing data to the network edge. However, optimizing the crucial QoS aspects of message freshness and service promptness,…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Ran Li , Chuan Huang , Xiaoqi Qin , Lei Yang

In this paper a new mathematical model is proposed for task scheduling and resource allocation in Grid systems. In this novel model, load balancing, starvation prevention and failing strategies are stated as the constraints and the solution…

Networking and Internet Architecture · Computer Science 2018-03-13 Arash Raeisi Gahrouei , Mehdi Ghatee

In this paper we formulate the fixed budget resource allocation game to understand the performance of a distributed market-based resource allocation system. Multiple users decide how to distribute their budget (bids) among multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Michal Feldman , Kevin Lai , Li Zhang