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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…

信息论 · 计算机科学 2013-01-30 François Mériaux , Vineeth Varma , Samson Lasaulce

Mean field games and controls involve guiding the behavior of large populations of interacting agents, where each individual's influence on the group is negligible but collectively impacts overall dynamics. Hybrid systems integrate…

最优化与控制 · 数学 2024-12-17 Tejaswi K. C. , Taeyoung Lee

We explore a mechanism of decision-making in Mean Field Games with myopic players. At each instant, agents set a strategy which optimizes their expected future cost by assuming their environment as immutable. As the system evolves, the…

最优化与控制 · 数学 2018-02-05 Charafeddine Mouzouni

Mean field games formalize dynamic games with a continuum of players and explicit interaction where the players can have heterogeneous states. As they additionally yield approximate equilibria of corresponding $N$-player games, they are of…

最优化与控制 · 数学 2020-01-09 Berenice Anne Neumann

We study how risk-sensitive players act in situations where the outcome is influenced not only by the state-action profile but also by the distribution of it. In such interactive decision-making problems, the classical mean-field game…

最优化与控制 · 数学 2015-05-26 Hamidou Tembine

Coordinating communication and control is a key component in the stability and performance of networked multi-agent systems. While single user networked control systems have gained a lot of attention within this domain, in this work, we…

最优化与控制 · 数学 2025-06-25 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

最优化与控制 · 数学 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman

Mean field games is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational agents that play non-cooperative dynamic games…

最优化与控制 · 数学 2011-03-18 Diogo A. Gomes , Joana Mohr , Rafael R. Souza

Mean-field game theory relies on approximating games that are intractable to model due to a very large to infinite population of players. While these kinds of games can be solved analytically via the associated system of partial…

机器学习 · 计算机科学 2026-04-16 Anna C. M. Thöni , Yoram Bachrach , Tal Kachman

Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists to approximate large games by a stylized game model with a continuum of players. The approach has been…

计算机科学与博弈论 · 计算机科学 2014-04-08 Hamidou Tembine

Empirically derived continuum models of collective behavior among large populations of dynamic agents are a subject of intense study in several fields, including biology, engineering and finance. We formulate and study a mean-field game…

适应与自组织系统 · 物理学 2018-06-22 Piyush Grover , Kaivalya Bakshi , Evangelos A. Theodorou

The recently developed mean-field game models of corruption and bot-net defence in cyber-security, the evolutionary game approach to inspection and corruption, and the pressure-resistance game element, can be combined under an extended…

最优化与控制 · 数学 2022-05-03 Stamatios Katsikas , Vassili Kolokoltsov

The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a kinetic MFG model for an interacting system of non-cooperative…

最优化与控制 · 数学 2024-07-29 Piyush Grover , Mandy Huo

A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population.…

最优化与控制 · 数学 2021-06-15 Giacomo Albi , Stefano Almi , Marco Morandotti , Francesco Solombrino

In this paper we study a class of matrix-valued linear-quadratic mean-field-type games for both the risk-neutral, risk-sensitive and robust cases. Non-cooperation, full cooperation and adversarial between teams are treated. We provide a…

最优化与控制 · 数学 2019-06-06 Julian Barreiro-Gomez , Tyrone E. Duncan , Hamidou Tembine

In this paper we study a mean field model for discrete time, finite number of states, dynamic games. These models arise in situations that involve a very large number of agents moving from state to state according to certain optimality…

最优化与控制 · 数学 2009-03-10 Diogo A. Gomes , Joana Mohr , Rafael R. Souza

We introduce a mean-field term to an evolutionary spatial game model. Namely, we consider the game of Nowak and May, based on the Prisoner's dilemma, and augment the game rules by a self-consistent mean-field term. This way, an agent…

统计力学 · 物理学 2021-09-29 Dmitriy Antonov , Evgeni Burovski , Lev Shchur

We study a class of stochastic dynamic games that exhibit strategic complementarities between players; formally, in the games we consider, the payoff of a player has increasing differences between her own state and the empirical…

计算机科学与博弈论 · 计算机科学 2010-12-13 Sachin Adlakha , Ramesh Johari

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…

最优化与控制 · 数学 2024-08-21 Felix Höfer , H. Mete Soner

Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Reply Strategy have been proposed. They assume that the agents…

最优化与控制 · 数学 2014-12-24 Pierre Degond , Michael Herty , Jian-Guo Liu
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