prevail
/pri-ˈvāl/
verb
to gain ascendancy through strength or superiority : triumph
to be or become effective or effectual
to use persuasion successfully
phrasal verb
to ask or persuade (someone) to do something
They prevailed on/upon me to play a few tunes on the piano.
idiom
calmer or less angry people have a dominant influence
A fight was avoided when cooler heads prevailed.