Author: Uri Blass
Date: 09:12:19 02/07/02
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On February 07, 2002 at 11:34:12, Dann Corbit wrote: >On February 07, 2002 at 11:23:56, Sune Fischer wrote: >[snip] >>I don't understand why this is unsolved, we agree that there is DR in the lower >>plies. We can also agree, I think, that DR must become more and more difficult >>to measure as the whole thing converges to 50-50%. >>Of cause we cannot prove it empiricly without unlimited computing power, but all >>indications suggest there is continues DRs (by simple induction). > >I think that the induction is probably wrong. I suspect at some point, there is >not any further diminishing of the return. 1)At some point after enough plies chess is solved so the returns is 0. 2)It is clear that if the program use 0 seconds for book moves then book has increasing influence on the result when programs search deeper and there are cases that the result is decided by book. I think that this is the main reason for expected diminishing return. It may be more interesting if there is a diminishing return in the nunn match when I believe that the result is not decided by book in these positions(I believe that in these cases there is no obvious draw or obvious win for one side). My experiments of the nunn match between fritz and Tiger showed no evidence for diminishing returns but I did not got deeper than depth 13 and almost all my games were at depth<=10(I did only 2 matches of 13 plies against 13 plies and 13 plies against 12 plies and I posted the games of these matches here). I also posted my results at depth<=10. Note that I did not see clear diminishing returns relative to small depth and the difference in rating in the nunn position between 3 and 4 plies seems to be similiar to the difference between 12 and 13 plies and to the difference between 9 and 10 plies). I already posted some results and chris taylor who got the games promise to publish the results(I am too lazy to count them but I sent him the games) I hope that he is going to do it. I do not remember all the results and I do not want to count again based on my games. Uri
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