Results 11 to 20 of about 760,127 (285)
Price of anarchy for Mean Field Games [PDF]
ESAIM: Proceedings and Surveys, 2019 The price of anarchy, originally introduced to quantify the inefficiency of selfish behavior in routing games, is extended to mean field games. The price of anarchy is defined as the ratio of a worst case social cost computed for a mean field game ...
Carmona René +2 more
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Mean-field interactions in evolutionary spatial games
Physical Review Research, 2021 We introduce a mean-field term to an evolutionary spatial game model. Namely, we consider the game of Nowak and May, based on the Prisoner's dilemma, and augment the game rules by a self-consistent mean-field term.
Dmitriy Antonov +2 more
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Backward-forward linear-quadratic mean-field Stackelberg games
Advances in Difference Equations, 2021 This paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward state and follower agents are of forward state.
Kehan Si, Zhen Wu
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Quantum Mean-Field Games with the Observations of Counting Type
Games, 2021 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches.
Vassili N. Kolokoltsov
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Japanese Journal of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lions, Pierre-Louis, Lasry, Jean-Michel
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Mean field games with congestion [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018 We consider a class of systems of time dependent partial differential equations which arise in mean field type models with congestion. The systems couple a backward viscous Hamilton–Jacobi equation and a forward Kolmogorov equation both posed in (0,T) \times (\mathbb{R}^{N}/ \mathbb{Z}^{N})
Achdou Y., Porretta A.
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A Quadratic Mean Field Games Model for the Langevin Equation
Axioms, 2021 We consider a Mean Field Games model where the dynamics of the agents is given by a controlled Langevin equation and the cost is quadratic. An appropriate change of variables transforms the Mean Field Games system into a system of two coupled kinetic ...
Fabio Camilli
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Strong Solution for Fractional Mean Field Games with Non-Separable Hamiltonians
Fractal and Fractional, 2022 In this paper, we establish the existence and uniqueness of a strong solution to a fractional mean field games system with non-separable Hamiltonians, where the fractional exponent σ∈(12,1).
Hailong Ye, Wenzhong Zou, Qiang Liu
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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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