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| Tags: been, checkers, has, solved |
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#11
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On Mar 17, 4:15*pm, wrote:
bob wrote: Suppose that it has been discovered that with a certain opening play that the first player can force a win. One might then say that checkers has been solved. This knowledge though does not say what the theoretical status of the game is if a different opening play is forced. Do a Google search on phrases (with the quotation marks) such as: "weakly solved" "strongly solved" "ultra-weakly solved" "ultra-strongly solved" ...then come back and post an answer that DOESN'T suck. Bob's answer was fine. Some of us actually have to work for a living. We don't all have time to do 5 hours of research before posting. Paul |
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#12
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* Am I missing something in my intuitive argument or is one of the
calculations incorrect? The Trice argument looks solid to me. Are you the one who used to play with username "Bob" at GetClub? I was searching for Bob for long time. You left playing long before. Play a few games at GetClub and see how well it plays now. Play Chess at: http://www.GetClub.com/Chess.html Help Bot used to say that you use Computer's help while playing against GetClub is that True? Your games are remarkable. Only Zebediah matches your game style. Bye Sanny Play Chess at: http://www.GetClub.com/Chess.html |
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#13
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On Mar 17, 7:08*am, Sanny wrote:
* Am I missing something in my intuitive argument or is one of the calculations incorrect? The Trice argument looks solid to me. Are you the one who used to play with username "Bob" at GetClub? I was searching for Bob for long time. You left playing long before. Play a few games at GetClub and see how well it plays now. Play Chess at:http://www.GetClub.com/Chess.html Help Bot used to say that you use Computer's help while playing against GetClub is that True? Your games are remarkable. Only Zebediah matches your game style. Bye Sanny Play Chess at:http://www.GetClub.com/Chess.html A different Bob than me. Bob Koca |
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#14
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On Mar 17, 8:46*pm, bob wrote:
On Mar 17, 7:08*am, Sanny wrote: * Am I missing something in my intuitive argument or is one of the calculations incorrect? The Trice argument looks solid to me. Are you the one who used to play with username "Bob" at GetClub? I was searching for Bob for long time. You left playing long before. Play a few games at GetClub and see how well it plays now. Play Chess at:http://www.GetClub.com/Chess.html Help Bot used to say that you use Computer's help while playing against GetClub is that True? Your games are remarkable. Only Zebediah matches your game style. Bye Sanny Play Chess at:http://www.GetClub.com/Chess.html * *A different Bob than me. Bob Koca- Hide quoted text - - Show quoted text - Huge coincidence since Bob is an extremely uncommon name. Paul Epstein |
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#15
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My recollection is slightly different. I remember looking at results
from the highest level of checkers play and a player would win a match by 1 game to 0 with 20 draws. However, that's an impression from memory only -- I haven't been able to check it. Can you back up your claim with hard stats? If the world no. 1 plays the world no. 2, would they draw less than 95% of their games? (I doubt it.) I think it's a pretty dead game at the highest level. I could get exact stats from the American Checker Federation. I am pretty sure though that, for instance world championship matches, are something above 80% draws, if maybe not 95%, even with 3-move restriction. Whether that means it's a "dead" game is a matter of definition. Certainly at the NON-championship level, the percentage of draws is very much lower (you can verify this by looking at on-line play sites). High-level tournaments, when they achieve under 75% draws, are considered "lively." But my point was that, while computer analysis shows an absolute draw for unrestricted play and very likely will show the same for 3-move play, humans still win and lose. As you point out, it is at a relatively low percentage, but still, the game continues to be played. |
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#16
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[ Crosspost trimmed. ]
samsloan wrote: One factor to be considered is that the number of possible moves in a backgammon games is infinite. The players could easily just keeping hitting each other to infinity. The number of possible chess games, while very large, is not infinite. After a few billion moves the 50-move rule becomes a factor. No, the number of possible chess games is infinite, since claiming a draw under the fifty move rule or threefold repetition is not mandatory. For analytical purposes, one can consider the game to be finite, on the assumption that a player who can't win will always claim the draw as soon as he can and that a player who can win will never offer a repetition or a fifty-move draw. Dave. -- David Richerby Slimy Toy (TM): it's like a fun www.chiark.greenend.org.uk/~davidr/ child's toy but it's covered in goo! |
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#17
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Content-Transfer-Encoding: 8Bit wrote: On Mar 17, 4:15*pm, wrote: bob wrote: Suppose that it has been discovered that with a certain opening play that the first player can force a win. One might then say that checkers has been solved. This knowledge though does not say what the theoretical status of the game is if a different opening play is forced. Do a Google search on phrases (with the quotation marks) such as: "weakly solved" "strongly solved" "ultra-weakly solved" "ultra-strongly solved" ...then come back and post an answer that DOESN'T suck. Bob's answer was fine. Some of us actually have to work for a living. We don't all have time to do 5 hours of research before posting. Paul If you don't have time to get true information (five minutes tops using the search terms above), you should simply STFU rather than posting false information. "Suppose that it has been discovered that with a certain opening play that the first player can force a win" is a description of weakly solved. "if a different opening play is forced" is a description of strongly solved. If you two dim bulbs would spend five minutes doing the search I suggested, this would not confuse you so. |
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#18
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#19
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And the ironic thing is everything I wrote was accurate. Checkers has only been weakly solved. From the referenced paper, "With this paper we announce that checkers has been weakly solved". Thus my reply was spot on after Frank wrote, "in the recent ICGA Journal ( www.icga.org) was a lengthy article about checkers being solved. And AFAIK tournament checkers is a subset of freestyle so if the later is solved...." Nospam, are you this obnoxious when you are not anonymous? Bob Koca |
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#20
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samsloan writes:
One factor to be considered is that the number of possible moves in a backgammon games is infinite. The players could easily just keeping hitting each other to infinity. That doesn't matter, as long as the number of possible board positions is finite (which it is). The main difference between Backgammon and, say, Checkers is not the possibility of infinite play but the fact that Backgammon involves random elements, so few positions are definitely winning or definitely losing -- all you can say is the probability of winning with perfect play (i.e., always picking the move that gives you the best winning probability after moving). You can solve Backgammon by for each possible position have edges to every other position that it is possible to get to in one move, and label each edge with the dice outcome that allow this move). This can be translated into a set of equations that you can solve to find the probability of each possible position being winning or losing. The set of equations is huge, but finite. Torben |
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