A chip race cannot eliminate a player from the game.
Loss of all 4 lives resulted in the player being eliminated from the game.
At the event, the losing player is eliminated from the game.
It's the human factor that we'd all like to eliminate from the game.
At the end of each hand any player who took no tricks is eliminated from the game.
This someone wants to eliminate you from the game, so to speak.
Some players are eliminated from the game by other means.
When a candle goes out, its piece is eliminated from the game.
When a player hits the floor, they are eliminated from the game.
If a mole is found out, they are eliminated from the game.