Results 51 to 60 of about 761,179 (312)
New numerical methods for mean field games with quadratic costs
Networks and Heterogeneous Media, 2012 Mean field games have been introduced by J.-M. Lasry and P.-L. Lions in [13, 14, 15] as the limit case of stochastic differential games when the number of players goes to $+\infty$. In the case of quadratic costs, we present two changes of variables that
Olivier Guéant
doaj +1 more source
Sports, 2022 The purpose of the study was to verify the criterion-validity (concurrent) of an existing and reliable, submaximal wheelchair Rugby (WCR) field test by examining the correlations of selected measures of physical performance between the field test and ...
Fabian Grossmann +4 more
doaj +1 more source
A class of infinite horizon mean field games on networks
Networks and Heterogeneous Media, 2019 We consider stochastic mean field games for which the state space is a network. In the ergodic case, they are described by a system coupling a Hamilton-Jacobi-Bellman equation and a Fokker-Planck equation, whose unknowns are the invariant measure \begin ...
Yves Achdou +3 more
doaj +1 more source
Hierarchical Structures and Leadership Design in Mean-Field-Type Games with Polynomial Cost
Games, 2020 This article presents a class of hierarchical mean-field-type games with multiple layers and non-quadratic polynomial costs. The decision-makers act in sequential order with informational differences.
Zahrate El Oula Frihi +3 more
doaj +1 more source
Mean-field game-theoretic edge caching [PDF]
, 2021 26 pages, 9 figures; This chapter is written for the forthcoming book, Edge Caching for Mobile Networks (IET), edited by W. Chen and H. V. Poor.
Kim, Hyesung +4 more
openaire +2 more sources
Mean field games: A toy model on an Erdös-Renyi graph.
ESAIM: Proceedings and Surveys, 2017 The purpose of this short article is to address a simple example of a game with a large number of players in mean field interaction when the graph connection between them is not complete but is of the Erdös-Renyi type.
Delarue François
doaj +1 more source
Dual two-state mean-field games
, 2014 In this paper, we consider two-state mean-field games and its dual formulation. We then discuss numerical methods for these problems. Finally, we present various numerical experiments, exhibiting different behaviours, including shock formation, lack of ...
Gomes, Diogo A. +2 more
core +1 more source
Viability analysis of the first-order mean field games [PDF]
, 2019 The paper is concerned with the dependence of the solution of the deterministic mean field game on the initial distribution of players. The main object of study is the mapping which assigns to the initial time and the initial distribution of players the ...
Averboukh, Yurii
core +1 more source
Iterative strategies for solving linearized discrete mean field games systems
Networks and Heterogeneous Media, 2012 Mean fields games (MFG) describe the asymptotic behavior of stochastic differential games in which thenumber of players tends to $+\infty$. Under suitable assumptions,they lead to a new kind of system of two partial differential equations: a forward ...
Yves Achdou, Victor Perez
doaj +1 more source
Rendiconti Lincei, Matematica e Applicazioni, 2020 We introduce a new class of coupled forward-backward in time systems consisting of a forward Hamilton–Jacobi and a backward quasilinear transport equation, which we call extended mean-field games system. This new class of equations strictly contains the classical mean-field games system with no common noise and its homogenization limit, and optimal ...
Lions, Pierre-Louis +1 more
openaire +2 more sources