Is it possible for two extremely close friends to remain friends if it turns out that they are competing for spots in the same universities and are trying to become the best student in the eyes of their course lecturers? In this case, can friend A/should friend A share his ideas with friend B, share problem set solutions, statement of purpose for univ applications, etc. if it turns out that helping friend B just might tip the balance and make friend B better than friend A? Isn't this a very common thing in academia - fighting among top students cum friends, fighting among work colleagues cum best buddies? What is the proper thing to do here?