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Old 11-04-2006, 04:39 AM
thylacine thylacine is offline
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Join Date: Jul 2003
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Default Re: ICM problems

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This leaves open the interesting possibility that the general statement of the ICM might reduce to a relatively simple formula, through the application of higher mathematics. Does anyone know if this has been attempted? Or if it's been shown to be impossible?

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I've tried and failed so far, but some simplifications could be possible.

One way of ruling out some levels of complexity is to work out examples exactly. Some of the denominators are huge, so any simplification would still have to be able to produce huge denominators, too.


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Would I be right to say that if you want to input integer stack sizes, and output exact rational numbers for the probability of player i getting position j in this ICM model, then in terms of encoding input and output as binary strings, the output length is exponential in the input length?
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