Piano teachers bass their fees on their education and experience. I have not experienced any teacher trying to take students from another teacher, but have experienced students wanting to study with other teachers. Parents will pay more for the better teachers. The competition comes from comparing student satisfaction.To assume that because we do not proselitize we eliminate competition is an inappropriate assumption. Competition between piano teachers is in our ability to teach. Some are better at teaching than others. Parents compare students progress and will pay quite a bit more for the better teacher.