Date: 2009-02-08 01:18 am (UTC)
Hmm... I'm surprised, because I would expect that in the endgame, the winning strategy would be to bid exactly what you have, leaving the opposition pretty well screwed. Recalling that if you win a challenge at 0 you get a card back, there should never ever be a comeback to win a game once only one player has cards.
For simplicity's sake, assume there's only one opponent with no cards. Clearly the player with cards is leading (opening/making the first bid), and should bid the highest hand he has. If his opponent challenges, game over. If his opponent raises, game over.
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