Results 21 to 30 of about 761,179 (312)
Linear-Quadratic Mean Field Games [PDF]
Journal of Optimization Theory and Applications, 2015 In this article, we provide a comprehensive study of the linear-quadratic mean field games via the adjoint equation approach; although the problem has been considered in the literature by Huang, Caines and Malhame (HCM, 2007a), their method is based on Dynamic Programming.
Yung, SP +3 more
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Schrödinger approach to Mean Field Games with negative coordination
SciPost Physics, 2020 Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled agents in interaction. Here we consider such systems when the interactions between agents result in a negative coordination and analyze the behavior ...
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
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A mean field game price model with noise
Mathematics in Engineering, 2021 In this paper, we propose a mean-field game model for the price formation of a commodity whose production is subjected to random fluctuations. The model generalizes existing deterministic price formation models. Agents seek to minimize their average cost
Diogo Gomes +2 more
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Mean Field Games on Prosumers [PDF]
2019 IEEE 58th Conference on Decision and Control (CDC), 2019 AbstractIn the realm of dynamic demand, prosumers are agents that can produce and consume goods. In this paper, the problem we address involves a large population of prosumers and each prosumer has to decide if (s)he wants to produce or consume a certain amount of goods. The strategy of each agent depends on the average behavior of the population.
Wouter Baar, Dario Bauso
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Risk-Sensitive Mean-Field Games [PDF]
IEEE Transactions on Automatic Control, 2014 In this paper, we study a class of risk-sensitive mean-field stochastic differential games. We show that under appropriate regularity conditions, the mean-field value of the stochastic differential game with exponentiated integral cost functional coincides with the value function described by a Hamilton-Jacobi-Bellman (HJB) equation with an additional ...
Tembine, Hamidou +2 more
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Mean field games with branching
The Annals of Applied Probability, 2023 Mean field games are concerned with the limit of large-population stochastic differential games where the agents interact through their empirical distribution. In the classical setting, the number of players is large but fixed throughout the game. However, in various applications, such as population dynamics or economic growth, the number of players ...
Claisse, Julien +2 more
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Long time average of mean field games
Networks and Heterogeneous Media, 2012 We consider a model of mean field games system defined on a time interval $[0,T]$ and investigate its asymptotic behavior as the horizon $T$ tends to infinity.
Pierre Cardaliaguet +3 more
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Extended Deterministic Mean-Field Games [PDF]
SIAM Journal on Control and Optimization, 2016 In this paper, we consider mean-field games where the interaction of each player with the mean-field takes into account not only the states of the players but also their collective behavior, To do so, we develop a random variable framework that is particularly convenient for these problems. We prove an existence result for extended mean-field games and
Gomes, Diogo A., Voskanyan, Vardan K.
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Mean field games with common noise [PDF]
, 2015 A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced in analogy with the theory of stochastic differential equations, and ...
Carmona, Rene +2 more
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Singular mean-field control games [PDF]
Stochastic Analysis and Applications, 2017 This article studies singular mean field control problems and singular mean field two-players stochastic differential games. Both sufficient and necessary conditions for the optimal controls and for the Nash equilibrium are obtained. Under some assumptions the optimality conditions for singular mean-field control are reduced to a reflected Skorohod ...
Hu, Yaozhong +2 more
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