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Non-Asymptotic Mean-Field Games [PDF]
IEEE Transactions on Cybernetics, 2014 Mean-field games have been studied under the assumption of very large number of players. For such large systems, the basic idea consists to approximate large games by a stylized game model with a continuum of players.
Tembine, Hamidou
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AIMS Mathematics, 2017 This article examines games in which the payoffs and the state dynamics depend not onlyon the state-action profile of the decision-makers but also on a measure of the state-action pair.
Hamidou Tembine
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Physics Reports, 2018 Mean field games were introduced independently by J-M. Lasry and P-L. Lions, and by M. Huang, R.P. Malham\'e and P. E. Caines, in order to bring a new approach to optimization problems with a large number of interacting agents.
Gobron, Thierry +2 more
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Hypergraphon mean field games [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 We propose an approach to modeling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of large hypergraphs. To the best of our knowledge, ours is the first work on mean field games on hypergraphs. Together
Kai Cui +2 more
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Quantum mean-field games [PDF]
The Annals of Applied Probability, 2022 Quantum games represent the really 21st century branch of game theory, tightly linked to the modern development of quantum computing and quantum technologies. The main accent in these developments so far was made on stationary or repeated games. In the previous paper of the author the truly dynamic quantum game theory was initiated with strategies ...
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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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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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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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