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Variational Time-Fractional Mean Field Games [PDF]
Dynamic Games and Applications, 2019 We consider the variational structure of a time-fractional second order Mean Field Games (MFG) system with local coupling. The MFG system consists of time-fractional Fokker-Planck and Hamilton-Jacobi-Bellman equations. In such a situation the individual agent follows a non-Markovian dynamics given by a subdiffusion process.
Tang Q., Camilli F.
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Reinforcement Learning for Mean-Field Game [PDF]
Algorithms, 2022 Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously. After taking an action, the state of every agent updates to the next state, and each agent receives a reward.
Mridul Agarwal +3 more
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Linear–Quadratic Mean-Field-Type Games: A Direct Method
Games, 2018 In this work, a multi-person mean-field-type game is formulated and solved that is described by a linear jump-diffusion system of mean-field type and a quadratic cost functional involving the second moments, the square of the expected value of the state,
Tyrone E. Duncan, Hamidou Tembine
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The selection problem for some first-order stationary Mean-field games
Networks and Heterogeneous Media, 2020 Here, we study the existence and the convergence of solutions for the vanishing discount MFG problem with a quadratic Hamiltonian. We give conditions under which the discounted problem has a unique classical solution and prove convergence of the ...
Diogo A. Gomes +2 more
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Ergodic Mean Field Games with H\"ormander diffusions [PDF]
, 2017 We prove existence of solutions for a class of systems of subelliptic PDEs arising from Mean Field Game systems with H\"ormander diffusion. These results are motivated by the feedback synthesis Mean Field Game solutions and the Nash equilibria of a large
Dragoni, Federica, Feleqi, Ermal
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Mean Field Equilibrium in Dynamic Games with Complementarities [PDF]
, 2010 We study a class of stochastic dynamic games that exhibit strategic complementarities between players; formally, in the games we consider, the payoff of a player has increasing differences between her own state and the empirical distribution of the ...
Adlakha, Sachin, Johari, Ramesh
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Bandwagon effect in mean-field games [PDF]
52nd IEEE Conference on Decision and Control, 2013 This paper provides a mean-field game theoretic model of the bandwagon effect in social networks. The latter phenomenon can be observed whenever individuals tend to align their own opinions to a mainstream opinion. The contribution is three-fold.
Stella, L +3 more
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Decentralized Mean Field Games
Proceedings of the AAAI Conference on Artificial Intelligence, 2022 Multiagent reinforcement learning algorithms have not been widely adopted in large scale environments with many agents as they often scale poorly with the number of agents. Using mean field theory to aggregate agents has been proposed as a solution to this problem.
Subramanian, Sriram Ganapathi +3 more
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Time dependent mean-field games with logarithmic nonlinearities [PDF]
, 2015 In this paper, we prove the existence of classical solutions for time dependent mean-field games with a logarithmic nonlinearity and subquadratic Hamiltonians.
Gomes, Diogo Aguiar +1 more
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Stationary focusing mean-field games [PDF]
Communications in Partial Differential Equations, 2016 We consider stationary viscous Mean-Field Games systems in the case of local, decreasing and unbounded coupling. These systems arise in ergodic mean-field game theory, and describe Nash equilibria of games with a large number of agents aiming at aggregation.
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