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I think part of the assumption that the ICM is approximated by your chip equity is that you will still be playing poker. If you had the sit out button on for instance you ICM would be lower than your chip equity. Part of keeping your equity has to be playing kings correctly, stealing when appropriate, etc.

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If ICM says not to play kings, don't play them [img]/images/graemlins/smile.gif[/img].


In this case, however, I don't think that it does. As OP said, without fold equity and the chance that big stack has a low PP, this is close (although it's a fold). Factor in those two things, and it's a pretty easy push.

P.S. OP, why'd you min raise? I probably just fold because I've already won, but if I raise, I'm pushing.