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cs.GT2023★ 1 cited
From Nash Equilibrium to Social Optimum and vice versa: a Mean Field Perspective
Rene Carmona, Gokce Dayanikli, Francois Delarue +1
Mean field games (MFG) and mean field control (MFC) problems have been introduced to study large populations of strategic players. They correspond respectively to non-cooperative o…
math.OC2023★ 1 cited
Non-standard Stochastic Control with Nonlinear Feynman-Kac Costs
Rene Carmona, Mathieu Lauriere, Pierre-Louis Lions
We consider the conditional control problem introduced by P.L. Lions in his lectures at the Collège de France in November 2016. In his lectures, Lions emphasized some of the major…