yield (v)

Definition: cease opposition

cede (v)
deliver (v)
give up (v)
surrender (v)

Definition: relinquish possession or control over
Example: The squatters had to surrender the building after the police moved in.

chuck up the sponge (v)
drop by the wayside (v)
drop out (v)
fall by the wayside (v)
give up (v)
quit (v)
throw in (v)
throw in the towel (v)

Definition: give up in the face of defeat of lacking hope
Example: In the second round, the challenger gave up.

step down (v)
resign (v)
quit (v)
leave office (v)

Definition: give up or retire from a position
Example: The Secretary of the Navy will leave office next month. The chairman resigned over the financial scandal.