Mean Field Games: Numerical Methods for the Planning Problem
نویسندگان
چکیده
منابع مشابه
Mean Field Games: Numerical Methods for the Planning Problem
Mean fields games describe the asymptotic behavior of differential games in which the number of players tends to +∞. Here we consider a numerical method for the optimal planning problem, i.e. the problem in which the positions of a very large number of identical rational agents, with common value function, evolve from a given initial spatial density to a desired target density at the final hori...
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Mean field type models describing the limiting behavior of stochastic differential game problems, as the number of players tends to +∞, have recently been introduced by J-M. Lasry and P-L. Lions. Numerical methods for the approximation of stationary and nonstationary such models are proposed. In particular, existence and uniqueness are investigated, as well as bounds on the solutions. Numerical...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2012
ISSN: 0363-0129,1095-7138
DOI: 10.1137/100790069