http://www.pathguy.com/chess/Taurus2.htm
I'm not sure if they would, but it'd be really neat!
I mean, there are different specific styles to how to play too. And here they are layed out as so:
1. FFA Style
a. When a king is checkmated, the units of that opponent becomes owned by the one who checkmated him. (I personally do not like this style)
b. When a king is checkmated, the pieces stay for the remainder of the game (but, king is still considered threatened by those pieces)
i. Or, the pieces are considered void, and the king is not threatened by the pieces
c. When a king is checkmated, the pieces become removed
Note: I've actually done this against my friends because they've liked it amongst the other styles of FFA. The reason why they liked it is because, they realized if they checkmated, and the pieces were removed, they were able to get other players in check because of some pieces in the way of preventing a check.
2. Team-Play Styles (Non-Double Checkmated!)
a. When a king is checkmated, the units of that opponent becomes owned by the one who checkmated him. (I personally do not like this style)
b. When a king is checkmated, the pieces stay for the remainder of the game, but are considered void.
c. When a king is checkmated, the pieces become removed, and the game continues.
Notes for team play:
Assume: Players: A1 A2 B1 B2
Allies are next to each other, not across from each other. The first player's ally is to their left, and their second enemy is to their right. Same goes for the first enemy. Their ally is to their left, and their second enemy is to their right.
The order of movements is clockwise. This style may seem unbalanced because if one player checks an opponent, and their ally is next to move, they can move a piece to a spot to help keep that ally from moving out of check, thus, forcing the checkmate.
Or, the order of movements -> A1, B1, A2, B2. And this has a full balance. (I actually prefer this mode, but a lot of my friends rather do the clockwise movements because it's easier)
And that's it.