acquiesce

acquiesce \ak-wee-ES\, intransitive verb:

To accept or consent passively or without objection -- usually used with 'in' or 'to'.

At the same time, sellers might acquiesce to mafia involvement in their business as a way of ensuring payment for goods: if the buyer defaults, the mafioso will collect.
-- Louis S. Warren, The Hunter's Game

The British were not prepared to acquiesce to the return of the Chinese to Tibet, and determined to counter the reassertion of Chinese influence.
-- Tsering Shakya, The Dragon in the Land of Snows

France would probably express regret that a military strike had become necessary, but would acquiesce in it.
-- Craig R. Whitney, "France Pushes for Last-Ditch Diplomatic Solution.", New York Times, February 20, 1998

Acquiesce comes from Latin acquiescere, "to give oneself to rest, hence to find one's rest or peace (in something)," from ad, "to" + quiescere, "to rest, to be or keep quiet."