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If there are 2 players left, unless they start with the same exact money, then it would be very stupid for the player with the higher amount to bet exactly what the other player has - all he would have to do is bet 1 more point then what the opponenet has left, the opponenet will then drop in the pond and the player with the highest amount is the winner.
I like the rule if you time out, you use the same bet from last round. (just don't tell me who has and has not bet, other wise it would take too much away from the game)