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Old 07-23-2003, 05:44 PM
M.B.E. M.B.E. is offline
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Join Date: Sep 2002
Location: Vancouver, B.C.
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Default Re: heads up poker no rake (game theory)

"<font color="purple">I agree with your definition of 'optimal', and that is why I commented that there is no optimal game theory solution, since there will always be a counter-strategy for any given fixed strategy.</font color>"

That may be true if there are three or more players, but not in a heads-up game. In a heads-up poker game, an optimal strategy (as we have defined it) does exist. In fact, the optimal strategy for "preflop holdem" has been calculated (http://www.archduke.demon.co.uk/simplex/index.html). If this calculation is correct (and I have no reason to think it isn't), then there is no counter-strategy that will beat it.
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