accede to pressure
To bow down or yield to pressure from an outside force, especially as regards a political, business, or military action or decision. Congress was forced to accede to pressure from the public and abandon its proposal to increase taxes.
accede to
1. To agree to a set of terms, conditions, or demands. The government will not accede to the terrorist's demands.
2. To begin serving in a position of authority or in an official capacity. Come January, he will accede to the office of governor.