There appears to be a bug in the basic (cash game) solution. It doesn't agree with my solution, or the sample case which eastbay posted a few weeks ago.
You are correct that the solutions are not exactly correct, but they are very close. The reason is that the method I was using to solve these problems can't deal with mixed strategies. Unfortunately I'm not a programmer, so I don't have as powerful resources as I would like. So I did the best I could and came up with the closest approximation, which isn't too far off. For most people reading the article, it won't matter if a few hands are off a tiny bit.
It's pretty important, if you're going to present solutions to problems, that you properly state what problem you are solving. You didn't present a game theory optimal solution, so presenting it as such is a bit confusing. As far as how close the solutions are to the game theory optimal one, they look like they are off by quite a bit, especially for small stacks.
- Andrew