[Innocentius]

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The problem is that the math to solve multiplayer non-cooperative partial-information games doesn't exist other than in embryonic form today. So any implementation of said math is even further off.

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I liked your post, and agree with most of what you wrote. But the fact that the math to completely solve the games isn't there does not in itself mean that it's impossible to write a very good bot. Chess isn't solved either. The best engines are all heuristic based, and I don't see any obvious reason why this wouldn't work for poker. (Observe that I'm not saying that it will certainly work, only that I am not convinced that it cannot work.)