How do I deal with rejecting my first choice for financial reasons? (Brown vs Berkeley)

"My parents are pushing me towards Berkeley, bribing me with things like a car and vacations"

Do parents really allow their kids to dictate which College they attend when there is a significant price difference, the parents would have to co-sign or take out loans to finance such a choice, especially when one institution is equal to or lesser than the school be declined? Why would a parent have to bribe a child to make a wise decision? I just don’t get? Who is paying for this education…the parent or the child?