On Mon, Mar 2, 2009 at 10:02 AM, Massimiliano Maini <[email protected]> wrote:
I believe you are right, but possibly janowski is as well. Take a look a this thread http://www.bkgm.com/rgb/rgb.cgi?view+965, it might make you wiser. Christian. > > Hi all, > > I was reading Rick Janowski's article "Take-Points in Money Games" (you can > find it here: > http://www.msoworld.com/mindzine/news/classic/bg/cubeformulae.pdf). I didn't > dig into the > refined general mode, but in the general model (the one used by gnubg) I get > a different > expression for the centered cube equity. > > The reasoning in Janowski's paper seems to be (if I got it right): > > 1) We know the expressions of dead cube equity and dead cube take/cash > points. > > 2) We compute (as shown in Appendix 5, par. 1) the live cube take and cash > point. > > 3) We compute live cube equities expressions: > 3.1) Live cube equity owning the cube can be computed as linear > interpolation > between the points (p=0%,E=-Cv*L) and (p=TP%,E=-Cv/2) > 3.2) Live cube equity with unavailable cube can be computed as > linear interpolation > between the points (p=CP%,E=Cv/2) and (p=100%,E=Cv*W) > 3.3) Live cube equity with centered cube can be computed as linear > interpolation > between the points (p=TP%,E=-Cv) and (p=CP%,E=Cv) > 4) At this point we can deduce the live initial double point (No Jacoby), > redouble point > and too good point (I don't care yet for beaver/racoon points and initial > double point > with Jacoby rule in use). > > Up to this point, I get exactly the same results. > > 5) We compute general cube equities. Here's where it gets fuzzy. I think > that general cube > equities are/should be computed by linear interpolation between dead and > live equities (that's > even what's written in gnubg manual), with the cube life index x being > between 0 and 1: > 5.1) Egeneral_own = Edead*(1-x) + Elive_own*x : developing this I > get the same result > 5.2) Egeneral_unav = Edead*(1-x) + Elive_unav*x : developing this I > get the same result > 5.3) Egeneral_cen = Edead*(1-x) + Elive_cen*x : here I get a > different result > > 6) We compute the general TP, IDP, RDP, CP, TGP by definition (i.e. with > equations involving > the equities expressions). Of course, with identical own and unav general > equities, I get the > same expressions for general TP, RDP, CP and TGP. But with a different > expression for the > general centered equity I naturally get a different expression for the IDP > (initial double > point, I only checked the No-Jacoby case). > > What looks strange to me is that Janowski's expression of the general > centered cube equity > is not even linear in x ... Anybody with an idea ? > > MaX. > _______________________________________________ > Bug-gnubg mailing list > [email protected] > http://lists.gnu.org/mailman/listinfo/bug-gnubg > > _______________________________________________ Bug-gnubg mailing list [email protected] http://lists.gnu.org/mailman/listinfo/bug-gnubg
