Abstract The theory of mean field games (MFGs) studies the limiting behaviors large systems where agents interact with each other in a certain symmetric way. running and terminal costs are critical for to decide strategies. However, practice they often partially known or totally unknown agents, while total cost is at end game. To address this challenging issue, we propose study several inverse ...

We study the effect of additive noise to inversion FIOs associated a diffeomorphic canonical relation. use microlocal defect measures measure power spectrum in phase space and analyze how that is transformed under inversion. In general, white noise, for example, mapped depending on position direction. particular, we compute standard deviation, locally, added as function deviation data. As an Ra...