2019/07/23 by Cardaliaguet, Pierre, Rainer, Catherine · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1907.09785
We present an example of symmetric ergodic N-players differential games, played in memory strategies on the position of the players, for which the limit set, as N→ +∞, of Nash equilibrium payoffs is large, although the game has a single mean field game equilibrium. This example is in sharp contrast with a result by Lacker [23] for finite horizon problems.