Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84 exptools; site whuxlm.UUCP Path: utzoo!watmath!clyde!burl!ulysses!allegra!whuxlm!dim From: dim@whuxlm.UUCP (McCooey David I) Newsgroups: net.games.chess Subject: Deterministic Chess (Re: Perfect Play?) Message-ID: <912@whuxlm.UUCP> Date: Thu, 20-Mar-86 11:13:39 EST Article-I.D.: whuxlm.912 Posted: Thu Mar 20 11:13:39 1986 Date-Received: Sat, 22-Mar-86 02:21:02 EST References: <2916@sunybcs.UUCP> <5112@alice.uUCp> <39@paisley.ac.uk> Organization: AT&T Bell Laboratories, Whippany Lines: 30 > IN fact this brings an interesting point... > For the above scoring method to be valid the game tree MUST be FINITE > (taken from the first move) > Ie from an move 1 tere MUST be a forced win for white or a forced > draw for black. > The question : IS THERE ? > If there is not I think that chess might be considered non-deterministic > in the sense that the only analysis possible is heuristic. It is still possible, although highly unlikely, that BLACK has a forced win in chess. This would be the case if every move that WHITE could make from the opening position left BLACK with a won game. Two interesting questions arise from this: 1. Since there is no way we will ever be able to fully analyze chess, is it possible nonetheless to determine the PROBABILITY of BLACK having a forced win from the opening position? (The same goes for a forced DRAW or for a forced WHITE win.) 2. Can anyone find a symmetric position (like the opening position) where it is WHITE to move but BLACK has a forced win? In other words, are there any symmetric zugzwangs for WHITE? (I'm sure there must be some real simple position...) I would like to hear what other people on the net think of this. Dave McCooey AT&T Bell Labs, Whippany ihnp4!whuxlk!dim