Yes, this idea is certainly correct. The main thing is that it actually works in reality. And people need to participate in this tournament. Otherwise, it could really happen that we have 50 participants in the stage for three players, and only 5 for four. That's where specific problems will arise.
Added after 2 minutes
I mean a quota, the minimum number of players.
Все люди - братья, но в каждом из нас спит волк.