Graphon mean field game
WebApr 1, 2024 · This paper formulates infinite dimensional graphon dynamical systems to study the limit problem of linear quadratic Gaussian graphon mean field game (LQG-GMFG). The limit problem is characterized ... WebThe emergence of the graphon theory of large networks and their infinite limits has enabled the formulation of a theory of the centralized control of dynamical systems distributed on …
Graphon mean field game
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Webgraphon mean field systems with control, the latter proposing many clusters of agents as well as proving an approximate Nash property as the number of clusters and … WebDec 13, 2024 · Moreover, the study of the decentralized control of such systems was initiated in [Caines and Huang, CDC 2024] where Graphon Mean Field Games (GMFG) and the GMFG equations were formulated for the analysis of noncooperative dynamic games on unbounded networks. In that work, existence and uniqueness results were …
WebFeb 1, 2024 · This suggests a new approach for design of interventions and parameter inference based on the limiting infinite population graphon game. We show that, under some regularity assumptions, such approach enables the design of asymptotically optimal interventions via the solution of an optimization problem with much lower dimension than … WebDec 19, 2024 · This paper presents a framework called Graphon Mean Field Game (GMFG) theory for the analysis and control of non-cooperative dynamical game systems …
WebDec 17, 2024 · This paper studies approximate solutions to large-scale linear quadratic stochastic games with homogeneous nodal dynamics and heterogeneous network … WebJan 1, 2024 · graphon game’s rising popularity stems from its ability to handle heterogeneity of agents to an extent far beyond the MFG theory . 1.2.2 Mean Field Games and Related Models for Epidemics
WebJan 16, 2024 · In this paper, we present a sequential decomposition algorithm equivalent of Master equation to compute GMFE of GMFG and graphon optimal Markovian policies (GOMPs) of graphon mean field teams (GMFTs). We consider a large population of players sequentially making strategic decisions where the actions of each player affect …
Title: Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz … dewey\\u0027s four impulsesWebGRAPHON MEAN FIELD GAMES AND THE GMFG EQUATIONS PETER E. CAINES AND MINYI HUANG ABSTRACT. The emergence of the graphon theory of large networks … church ordination serviceWebApr 8, 2024 · We propose a novel discrete-time formulation for graphon mean field games as the limit of non-linear dense graph Markov games with weak interaction. On the … dewey\u0027s footie challengeWebJan 1, 2024 · where \(\rho ^y_t\) is the joint distribution of action and state of player y at time t and \(\alpha ^x_{t}\) is the action of individual x.. 1.2 Related Literature 1.2.1 Graphon Games and Finite State Space Mean Field Games. Challenges related to large populations arise in the game theory, and mean field game (MFG) theory presents a toolbox to … church oregon cityWebcomprehensive literature review focusing on Mean-Field Games (MFG), graphon interaction, and stochastic control in the context of energy systems. The study will then proceed with the development of a mathematical model incorporating MFG and graphon interaction to accurately represent the renewable energy system. church or ecclesiastical lawWebSep 8, 2024 · Graphon mean field games (GMFGs) on the other hand provide a scalable and mathematically well-founded approach to learning problems that involve a large number of connected agents. In standard GMFGs, the connections between agents are undirected, unweighted and invariant over time. Our paper introduces colored digraphon mean field … church ordination programWebAug 24, 2024 · Existence and uniqueness results are provided as well as convergence of the finite-player network game optimal strategy profiles to their analogs for the graphon games. We also show that equilibrium strategy profiles of a graphon game provide approximate Nash equilibria for the finite-player games. Connections with mean field … church oregon