Results 31 to 40 of about 761,179 (312)
Explicit solutions of some linear-quadratic mean field games
Networks and Heterogeneous Media, 2012 We consider $N$-person differential games involving linear systems affected by white noise, running cost quadratic in the control and in the displacement of the state from a reference position, and withlong-time-average integral cost functional. We solve
Martino Bardi
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Mean field games models of segregation [PDF]
, 2017 This paper introduces and analyzes some models in the framework of mean field games (MFGs) describing interactions between two populations motivated by the studies on urban settlements and residential choice by Thomas Schelling.
Achdou, YVES MAURICE +2 more
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Mean Field Games: Numerical Methods [PDF]
SIAM Journal on Numerical Analysis, 2010 Mean field type models describing the limiting behavior, as the number of players tends to $+\infty$, of stochastic differential game problems, have been recently introduced by J.-M. Lasry and P.-L. Lions [C. R. Math. Acad. Sci. Paris, 343 (2006), pp. 619-625; C. R. Math. Acad. Sci. Paris, 343 (2006), pp. 679-684; Jpn. J. Math., 2 (2007), pp. 229-260].
CAPUZZO DOLCETTA, Italo, Yves Achdou
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Computational mean-field games on manifolds
Journal of Computational Physics, 2022 30 pages, 8 figures, 4 ...
Jiajia Yu +3 more
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A-priori estimates for stationary mean-field games
Networks and Heterogeneous Media, 2012 In this paper we establish a new class of a-priori estimates for stationary mean-field games which have a quasi-variational structure.In particular we prove $W^{1,2}$ estimates for the value function $u$ and that the players distribution $m$ satisfies ...
Diogo A. Gomes +2 more
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Strategic advantages in mean field games with a major player
Comptes Rendus. Mathématique, 2020 This note is concerned with a modeling question arising from the mean field games theory. We show how to model mean field games involving a major player which has a strategic advantage, while only allowing closed loop markovian strategies for all the ...
Bertucci, Charles +2 more
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Existence of solutions to contact mean-field games of first order
Advanced Nonlinear Studies, 2022 This paper deals with the existence of solutions of a class of contact mean-field game systems of first order consisting of a contact Hamilton-Jacobi equation and a continuity equation.
Hu Xiaotian, Wang Kaizhi
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Multipopulation Minimal-Time Mean Field Games
SIAM Journal on Control and Optimization, 2022 In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a control system depending on their position, the distribution of other agents in the same population, and the ...
Saeed Sadeghi Arjmand, Guilherme Mazanti
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, 2017 [en] In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications.
Peter E. Caines +2 more
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Mean-Field-Game Model of Corruption [PDF]
Dynamic Games and Applications, 2015 A simple model of corruption that takes into account the effect of the interaction of a large number of agents by both rational decision making and myopic behavior is developed. Its stationary version turns out to be a rare example of an exactly solvable model of mean-field-game type.
Kolokoltsov, V. N., Malafeyev, O. A.
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