Let me just give you a few resources that will explain the selection process.
http://www.chess.com/forum/view/livechess/new-logic-for-auto-pairing-and-seek-graph
and
https://support.chess.com/customer/en/portal/articles/1622811-how-are-seeks-matched-in-live-chess-
I apologize in advance for possible language mistakes in my post :)
I have two questions.
In what way is selected opponent in chess live?
When I create a new game, drawing is for me an opponent who has the same game settings as mine and he's create his new game in this same time as me?
And the second question:
If a player with a far higher ranking than me, join my game (click on my dot on the graph), I can leave the game, without breaking the rules of fair play?