Cutthroat is a great three-player game and a sure-fire way to make your friends despise you, or vice versa, depending on who wins.
1. Determine the order in which the three players will shoot.
2. Rack and break.
3. Choose your set of balls when you get a ball in. Choose either 1 through 5, 6 through 10, or 11 through 15. These are your balls now, and you want them to stay on the table.
4. Continue playing as long as one of your balls remains on the table.
5. Try to sink all of your opponents' balls.
6. Continue shooting each time you successfully sink a shot.
7. Win when you are the only player with at least one ball left.