Dictionary.net

stop maintaining or insisting on; of ideas, claims, etc.; "He abandoned the thought of asking for her hand in marriage"; "Both sides have to give in these negociations"

put an end to a state or an activity; "Quit teasing your little brother"

give up in the face of defeat of lacking hope; admit defeat; "In the second round, the challenger gave up"

lose or lose the right to by some error, offense, or crime

part with a possession or right; "I am relinquishing my bedroom to the long-term house guest"; "resign a claim to the throne"

put an end to a state or an activity; "Quit teasing your little brother"

give up in the face of defeat of lacking hope; admit defeat; "In the second round, the challenger gave up"

lose or lose the right to by some error, offense, or crime

part with a possession or right; "I am relinquishing my bedroom to the long-term house guest"; "resign a claim to the throne"

stop maintaining or insisting on; of ideas, claims, etc.; "He abandoned the thought of asking for her hand in marriage"; "Both sides have to give up some calims in these negociations"

give up or agree to forego to the power or possession of another; "The last Taleban fighters finally surrendered"

give up what is not strictly needed; "he asked if they could spare one of their horses to speed his journey"

allow the other (baseball) team to score; "give up a run"