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Old 12-16-2005, 03:43 PM
Leonardo Leonardo is offline
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Join Date: Mar 2003
Posts: 15
Default Re: Mathematical models

To start with, try to build a program that just plays the river well. To do so, you would simply need a set of hands that the other player can have, and a set of actions that the player will take with each hand. Work out the optimal play. Dont worry about past betting. You can add a funcionality later that takes into consideration past betting and updates possible holdings. Leave that till last. Once you have the optimal play for the river you can move backwards to preflop quite easily. Then you have the problem or working out a) What the player has and b) what they will do with each holding. This is terribly difficult. A way of doing that would be to define 10 or 15 profiles and then try to fit each player to a profile from his play. For making the profiles you can either go through and define every play (stupid way and very long and difficult) or you could work out the optimal play that your opponent should make in theory and then slant the play towards certain tendencies, such as being too aggressive or dumb or whatever.
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