181 citations · 548 across the 46 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.PR2014★ 8 cited
A Probabilistic Approach to Mean Field Games with Major and Minor Players
Rene Carmona, Xiuneng Zhu
We propose a new approach to mean field games with major and minor players. Our formulation involves a two player game where the optimization of the representative minor player is…
math.PR2014★ 11 cited
Mean field games with common noise
Rene Carmona, Francois Delarue, Daniel Lacker
A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced i…
math.PR2014★ 14 cited
The Master Equation for Large Population Equilibriums
René Carmona, Francois Delarue
We use a simple N-player stochastic game with idiosyncratic and common noises to introduce the concept of Master Equation originally proposed by Lions in his lectures at the Collèg…