These two players continue until one fails and is removed. In continuing clockwise order, the next player up tries to beat the leader. If the player fails, the player is removed. If the player succeeds, the next person, counterclockwise, must now beat THIS new leader's score. The old leader is not immediately affected in any way.
All players try to beat the leader's score.
Any who fail are removed. Any who succeed stay in. When all players fail to beat a leader, that leader is the winner. Any player declining a new rule prevents the change. Whenever you land on the score of another player, you send them back to the score you started at on that turn.