Larry Page demands commitment.The media is now full of news of Jonathan Rosenberg and other key people leaving for family or other reasons, but this is not the point.
I consider it to be interesting and relevant here that Schmidt was a archetypal manager, while Page maybe the archetypal leader (vision driven).
Vision matters; more so than operations: operations must be adjusted to vision and not the other way around.
The role of leaders representing a vision is two-fold: to start (as Page indeed did) and to stop: stop initiatives or course of action that lead away from the vision.
Now google must be realigned and this demands leadership.
Demanding commitment is the best start for Page in his new role.