  Mean Field Games (MFG) provide a theoretical frame to model socio-economic
systems. In this letter, we study a particular class of MFG which shows strong
analogies with the {\em non-linear Schr\"odinger and Gross-Pitaevski equations}
introduced in physics to describe a variety of physical phenomena ranging from
deep-water waves to interacting bosons. Using this bridge many results and
techniques developed along the years in the latter context can be transferred
to the former. As an illustration, we study in some details an example in which
the "players" in the mean field game are under a strong incentive to coordinate
themselves.

Physics and Society;Statistical Mechanics