Verb
badger - To repeatedly and annoyingly ask someone to do something.
Every time that Arnold asked Samantha to go out on a date, she would tell him firmly ‘No’. But each time he saw her, he would badger her again and again about wanting to go out, and again she said 'No!'
relent - To surrender or agree after resisting or opposing, often due to persuasion, pressure, or changing circumstances.
Our of pride, he would always refuse to accept assitance, but when things hit rock bottom, he relented, and finally accepted help from others.