They aren't rated:
https://www.chess.com/blog/News/double-your-pleasure-with-four-player-chess
It seems they've made some updates since that announcement was posted. There are now a leaderboard, ratings, and chat:
OK, You might get better answers to your questions in the club: https://www.chess.com/club/4-player-chess
Or maybe on a reply to the previous article. I think there is also a forum post with some details but I would have to go look for it.
Like mentioned some stuff in the announcement is not up to date. All changes and stuff are discussed at the club, so I would recommend to ask any question there. In one forum in the club the ratings are explained:
https://www.chess.com/clubs/forum/view/how-the-rating-system-works
Lots of players have been asking about the rating system, so here is a rundown of how it works.
Since changes was mentioned here are those as well (all changes in changelog was after the announcement):
https://www.chess.com/clubs/forum/view/changelog-9-04-2017
We have moved the changelog to 1 location
09/24/2017
Teams mode was added. Rules are in-game!
09/22/2017
Not many visible changes today
* Queens that are worth 1 point have a seperate image with a "1" indicator. Thank @ignoble for that
* Bug fix: where a 9 point queen becomes 1 point queens
* A secondary pie timer is shown indicating how much delay is left (you'll see it)
* bug fix: games will not end when the second to last player's piece is taken
09/21/2017 (Fixes)
* We have moved to delay instead of increment for the time control. In other words, the time control is now 1 minute with a 10-second delay. That means you CANNOT gain time, but if you make your move within 10 seconds you won't lose time either. If you take longer than 10 seconds it will eat into your total time of 1 minute.
* You can only abort once every 30 minutes now.
* fixed high wait times for very high rated players or very low rated players
Once again thanks for all your feedback, comments, and support!
EDIT1: based on feedback the delay has been changed to 15 seconds.
09/20/2017 (the UI update)
A brand spanking new User interface which highlights:
* Timers and points have been moved to the corners of the board
* You can now exit games that you are observing without reloading the game
* The matchmaking times have been lowered
* New arrows to indicate the next players for a game the matchmaker has found so far
* NOTE: even if 4 players are found, the games will not always start immediately. This is by design! The matchmaker wants to ensure the best match possible and will wait for other players if necessary.
* New time-control 2 | 10. Please let us know how you like this.
* Mobile web has temporarily been abandoned (so if you play on mobile, please let us know!)
Try it out and let us know what you guys think!
09/13/2017
* Client side timer fix (sometimes times would be off by several seconds)
* Forward and back arrows (Forward-till-end and backwards-to-beginning will come soon)
* Notation on large screens
* Leaderboard profiles are now viewable by clicking on the player's image
* Low-time alert sound
09/08/2017
*Improved chat style
*Separate Player and spectator chat (spectators will still see player messages)
* Ability to stop players from chatting in the current game (by anyone who is playing)
*Fixes to board highlighting
*NEW RULE: You can only resign on your turn!
*NEW RULE: King is now equal to 20 points instead of 15 and hence checkmate = 20 too.
*NEW RULE: If the second-to-last person resigns the remaining player receives +20.
9/04/2017
*Fixed Rating system bug: Let me know if you find anything else wrong. You will only see the updated rating upon the next game. If you leave a game and rejoin another, your rating will change in-between games (you will not get a notification for this)
*New Time Control: 4 | 3 (4 minutes with 3 second increment)
*Replaced "Recent Games" with "Top games". (Top 30 games will be shown based on the average game rating)
*New matchmaking system: Depending on the number of players online, players will be matched up as closely as possible to the other players searching for a game. The more players the more accurate this should become.
*Ratings are shown in the top games list
something that should be part of the changelog, but currently isn't:
We have temporarily removed 2vs2 till we attain more players and can improve the mode significantly (play with a friend, separate leaderboards, etc) Thanks for understanding!
So, the new 4-player chess is REALLY fun, and I think they've hit on a good time control with the 1/15 delay.
My question is - how are player ratings updated after the game is finished? Presumably your rating goes up if you get first place, and down if you get last, but what about second or third? Does the Glicko algorithm generalize to games with more than 2 players?
I doubt anyone cares very much about their 4-player chess rating at this early prototype stage, but I'm just curious.