safe winning strategies without swap rule TWIXT PP

7 replies. Last post: 2005-10-11

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safe winning strategies without swap rule
  • technolion at 2005-09-08

    I have a theoretical question for you:

    Does a 100% secure Twixt winning strategy exist if the swap rule is suspended?

    What I mean is: If you start a game and the opponent is not allowed to swap your move, do you win safely if you follow the right move list.

    If this is not the case, am I still right with the assumption, that you have a safe win with two pegs handicap? I guess, I could safely win against Klaus, if I can start with J9 and H14. True?

  • David J Bush ★ at 2005-09-08

    I'm not completely sure what you're asking. If you want an exhaustively analyzed move tree which gives a specific winning move for every possible move the losing side could make, then no, I haven't heard of such a thing even for a two-peg handicap. Adding pegs is not the only possible handicap, by the way. On PBmserv and on K2z, row handicapping is available, for example. But even for an 8-row plus first move handicap, I haven't seen any completely analyzed winning method. It might not be very difficult to generate one, but I haven't seen it.

    If a provably winning strategy is ever found, it will be probably found by a computer. The first attempts will be on smaller boards such as 12x12 and 16x16. But even 12x12 has not been completely scoped out yet AFAIK. As an example to illustrate the difficulty, I refer you to a 12 x 12 game I made up. The following position is reached:

    Image Hosted by ImageShack.us

    At this point I blathered on about how wonderful the move C8 was. Philippe van Schendel has pointed out to me, however that C8 is actually a losing move. I leave it to the reader to see how black to move can win in this position, as well as what other move white could have made, instead of C8, which would have won for white.

  • technolion at 2005-09-09

    Yes, I wanted to know if one could set up an exhaustively analyzed move tree which gives a specific winning move for every possible move the losing side could make. Of course this would mean, that the game Twixt is 'solved'.

    But in my opinion having two pegs advancement without giving the opponent the possibility to swap puts you in a an extraordinary strong position which shoul be safe. I guess its just a matter of diligence to set up a JTwixt file for it.

    Regarding the Twixt problem you posted: With E8 Black has a winning move. E8, E7, C9, H8, I9

    Instead of C8 White should have played E8.

  • Marius Halsor at 2005-09-09

    Techno: After e8-e7-c9, what about d9? Do you still win?

  • Marius Halsor at 2005-09-09

    I think I'd try D10, but then again, I'm not that good at Twixt.

  • technolion at 2005-09-09

    Marius, e8-e7-c9-d9 does not work for whit, because then black just plays d10 and hast the chance to connect to left via b7 or b11.

    But I just saw that my approach does not work because of a different move white can do: e8, e7, c9 and now g10 - now white wins.

    D10 indeed must be the only way to win for black.

  • technolion at 2005-10-11

    http://www.littlegolem.net/jsp/game/game.jsp?gid=396894&nmove=5

    This game shows that Axel agrees with my proposal, that 2 pegs in advance make a safe win :)

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