There are two suggestions:
1. Immediately start calculating player ratings using the Elo system, as Natasha suggested. The number of wins and losses is not very indicative, but the rating is a rating.
2. Slightly modify the section as follows:
make the topic with rules and official results closed; a moderator will manage it.
a topic for finding an opponent for a duel
a topic for reports and summaries

I will try to participate in December; I don't have much time right now. :(