What are people who overindulge in food and vomit?

The term you are looking is bulimia nervosa. Bulimia nervosa is an eating disorder characterized by binge eating followed by purging. Purging can take the form of vomiting, excessive exercise, or the misuse of laxatives, diuretics, or other medications. Bulimia nervosa is often associated with low self-esteem, body image disturbance, and depression.