Self-organization or attracting another leader from the outside. If players want to continue playing, they will definitely do so.
Yeah, the judge gathered the players, then said, "Well, you guys figure it out yourselves, I'm leaving." However, I remember a classic case of self-organization. My first tournament on the forum was organized by a judge who, somewhere between the first and second rounds, abandoned the project. Thankfully, Evgeny stepped in and took over. Forget about such extremes.
Resolve the issue based on the principle of evening things out. The organizers of the tournaments have priority in decision-making, because accepting or rejecting players for the tournament is within their competence.
How can you refuse someone participation in a tournament on a democratic forum (and any other forum)?
Even if they don't spoil things, there will be a number of difficulties. For example, there are times when a task falls on a person, and the solution is difficult for them, but something needs to be done.
That's how it is, but it's easier to solve the problem when you're not alone, and there are like-minded people.
Ideally, the judge should be smarter, more authoritative, and psychologically stronger than the people whose case he is judging. But this is not always the case; people are different.
I agree. The judge is just a person, like you and me, with all the problems and concerns in real life. He needs to judge the tournament, and he's under heavy pressure from both sides - was there cheating or not? Accusing someone of cheating is scary; it's too serious an insult. It can be difficult for one person to conduct an objective and detailed analysis of the game. Reducing the workload of the judges would be a good thing.