binge - Indulge in an activity, especially eating, to excess
Bob loved eating pizza so much, that whenever he had a desire to eat pizza, he ordered several pies and would binge and continue eating until his bursting stomach couldn't hold any more food.
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.