To the best of my knowledge no such section is in the PHB, but I do not own a copy nor have I read one. That is just where I felt the advice belonged.
I agree 100% that DMs need a section on table management, including a bit on booting toxic players. I've been very outspoken on this issue in other threads. I truly believe most problems experienced in this game are social. The number of times I see what seems like an obvious social issue cited as a mechanical failing is kind of wild.
I hear you (and @overgeeked ) ... but I am not sure that a game book (like the DMG) is necessarily the best place for advice on social dynamics and issues. I know Gygax did it in the 1e DMG, but that advice is now ... kinda weird.
Like, should Monopoly rules have a section about how to deal with the person who always wants to be the banker so they can steal the money? That's not a rhetorical question. It's very much an actual question. DEREK!!!!!!