A soccer team is acquiring a player via transfer from another team. The player's quality is given by a uniform distribution, Q ~ U[0,1]. (This is the same structure that we went over in class.) The player's current team knows their quality, but the acquiring team does not.

A player of quality, Q, is worth 150000 + 800000Q to their current team, and 250000+1000000Q to the acquiring team.

In equilibrium of this game, what is the highest quality player that could be transferred?