scholarly journals Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions

2019 ◽  
Vol 147 (11) ◽  
pp. 4713-4731
Author(s):  
Rita Ferreira ◽  
Diogo Gomes ◽  
Teruo Tada
Keyword(s):  
Weak Solutions ◽  
Mean Field ◽  
Mean Field Games ◽  
Existence Of Weak Solutions ◽  
Dirichlet Conditions ◽  
First Order

scholarly journals Existence of weak solutions to time-dependent mean-field games

2021 ◽  
Vol 212 ◽  
pp. 112470
Author(s):  
Rita Ferreira ◽  
Diogo Gomes ◽  
Teruo Tada
Keyword(s):  
Weak Solutions ◽  
Mean Field ◽  
Time Dependent ◽  
Mean Field Games ◽  
Existence Of Weak Solutions

scholarly journals Long-Time Behavior of First-Order Mean Field Games on Euclidean Space

2019 ◽  
Vol 10 (2) ◽  
pp. 361-390
Author(s):  
Piermarco Cannarsa ◽  
Wei Cheng ◽  
Cristian Mendico ◽  
Kaizhi Wang
Keyword(s):  
Euclidean Space ◽  
Mean Field ◽  
Mean Field Games ◽  
Time Behavior ◽  
Long Time Behavior ◽  
First Order ◽  
Long Time

scholarly journals First-order, stationary mean-field games with congestion

2018 ◽  
Vol 173 ◽  
pp. 37-74 ◽  
Author(s):  
David Evangelista ◽  
Rita Ferreira ◽  
Diogo A. Gomes ◽  
Levon Nurbekyan ◽  
Vardan Voskanyan
Keyword(s):  
Mean Field ◽  
Mean Field Games ◽  
First Order

scholarly journals Viability analysis of the first-order mean field games

2020 ◽  
Vol 26 ◽  
pp. 33
Author(s):  
Yurii Averboukh
Keyword(s):  
Mean Field ◽  
Initial Distribution ◽  
Initial Time ◽  
Mean Field Games ◽  
Sufficient Condition ◽  
Mean Field Game ◽  
First Order ◽  
Viability Analysis ◽  
A Value ◽  
Object Of Study

In the paper, we examine the dependence of the solution of the deterministic mean field game on the initial distribution of players. The main object of study is the mapping which assigns to the initial time and the initial distribution of players the set of expected rewards of the representative player corresponding to solutions of mean field game. This mapping can be regarded as a value multifunction. We obtain the sufficient condition for a multifunction to be a value multifunction. It states that if a multifunction is viable with respect to the dynamics generated by the original mean field game, then it is a value multifunction. Furthermore, the infinitesimal variant of this condition is derived.

scholarly journals The selection problem for some first-order stationary Mean-field games

2020 ◽  
Vol 15 (4) ◽  
pp. 681-710
Author(s):  
Diogo A. Gomes ◽  
◽  
Hiroyoshi Mitake ◽  
Kengo Terai ◽  
Keyword(s):  
Mean Field ◽  
Selection Problem ◽  
Mean Field Games ◽  
First Order

scholarly journals Fourier approximation methods for first-order nonlocal mean-field games

2019 ◽  
Vol 75 (3) ◽  
pp. 367-396 ◽  
Author(s):  
Levon Nurbekyan ◽  
João Saúde
Keyword(s):  
Mean Field ◽  
Mean Field Games ◽  
Approximation Methods ◽  
Fourier Approximation ◽  
First Order

scholarly journals Sobolev regularity for first order mean field games

2018 ◽  
Vol 35 (6) ◽  
pp. 1557-1576 ◽  
Author(s):  
P. Jameson Graber ◽  
Alpár R. Mészáros
Keyword(s):  
Mean Field ◽  
Mean Field Games ◽  
Sobolev Regularity ◽  
First Order
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