[CityFan]

Oh yeah, um, I skimmed it and decided to come back to it later.

I don't think my function F has any mystical significance, except that I wrote it in response to the challenge that "chip value is not a meaningful concept".

Arguing about the properties of F is precisely what Sklansky, Snyder and people on here have been doing to death for the past x weeks.

It's interesting, but well known (whisper it around here...), that F is generally convex - that is, incremental chip value decreases with the size of your stack. I like the observation that for an expert player F should always be ABOVE the curve you've plotted which assumes equal skill - though that might not be true if that player simply couldn't be bothered grinding with a short stack and therefore played poorly.

That's a situation in which F for a skilled player might not be convex.

I think though, unless we're going to do some serious maths, bringing all kinds of multivariate functions into play is probably not going to advance any debate. We're merely obscuring the wood by identifying a few trees.

So, sorry, I'm not going to be drawn into any great discussion about this F, unless there are questions that really need the maths*.

*which there might be