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 … WebNov 29, 2024 · Recent advances at the intersection of dense large graph limits and mean field games have begun to enable the scalable analysis of a broad class of dynamical sequential games with large numbers of agents. So far, results have been largely limited to graphon mean field systems with continuous-time diffusive or jump dynamics, typically …
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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 … WebDec 17, 2024 · This repository is the official implementation of Learning Graphon Mean Field Games and Approximate Nash Equilibria. Topics. games reinforcement-learning multiagent Resources. Readme License. MIT license Stars. 4 stars Watchers. 1 watching Forks. 1 fork Report repository Releases No releases published. Packages 0. No … grass ain\u0027t greener on the other side lyrics
LQG Graphon Mean Field Games: Graphon Invariant …
WebNov 29, 2024 · Recent advances at the intersection of dense large graph limits and mean field games have begun to enable the scalable analysis of a broad class of dynamical … WebJan 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 … 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 … grass ag