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Mean-field games for marriage. [PDF]
PLoS ONE, 2014 This article examines mean-field games for marriage. The results support the argument that optimizing the long-term well-being through effort and social feeling state distribution (mean-field) will help to stabilize marriage.
Dario Bauso +4 more
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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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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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Mean-Field-Type Games in Engineering
AIMS Electronics and Electrical Engineering, 2017 A mean-field-type game is a game in which the instantaneous payoffs and/or the statedynamics functions involve not only the state and the action profile but also the joint distributionsof state-action pairs.
Boualem Djehiche +2 more
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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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Improvement of the Low-Energy Adaptive Clustering Hierarchy Protocol in Wireless Sensor Networks Using Mean Field Games [PDF]
SensorsThe Low-Energy Adaptive Clustering Hierarchy (LEACH) protocol is a widely used method for managing energy consumption in Wireless Sensor Networks (WSNs). However, it has limitations that affect network longevity and performance.
Unalido Ntabeni +3 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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Mean field games of controls: Finite difference approximations
Mathematics in Engineering, 2021 We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in a ...
Yves Achdou, Ziad Kobeissi
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