I have seen intelligent people destroy their careers by never learning to play dumb.
Conveniently, game theory explains why that happens:
In most high-stakes hierarchies, influence is perceived as a zero-sum game.
If you appear "too intelligent," you are perceived as a threat. That can lock you out of important networks.
Let the others feel superior for a while and hide your intelligence until deployment.
Unfortunately, most people will never utilize this strategy. It necessitates acting strategically, not egoistically.