How can Node.js enable different users do things in a sequence?

I am considering using Node.js to build a collaboration tool. I want to realize that one user does something, enabling another user to do something.

So there is a sequence. If there are three users, the sequence would be 1,2,3,1,2,3...You can imagine a chess game with unlimited players.

So how can Node.js enable different users to do things in a sequence?

I really want some reference or code sample.

Many thanks.