On the long time convergence of non monotone Mean Field Games
GFM seminar
	    
	      FCUL, C6, room 6.2.33
	    
	    
                        
                        
                            2018-07-02 11:00
                            2018-07-02 12:00
                            2018-07-02
                            11:00
                            ..
                            12:00
                        
            
	    
            
	    
        by Marco Masoero (Université Paris-Dauphine)
We look at the long time behavior of potential Mean field games (briefly MFG) using some standard tools from weak KAM theory. We first show that the time-dependent minimization problem converges to an ergodic constant -λ, then we provide a class of examples where the value of the stationary MFG minimization problem is strictly greater than -λ. This will imply that the trajectories of the time-dependent MFG system do not converge to static equilibria.
