tag:blogger.com,1999:blog-9319479.post8058029470165888198..comments2024-03-07T15:32:53.014+02:00Comments on Yehuda: Review: Last Step GameYehuda Berlingerhttp://www.blogger.com/profile/16038826060312027387noreply@blogger.comBlogger7125tag:blogger.com,1999:blog-9319479.post-51568197738332330712008-08-08T08:47:00.000+03:002008-08-08T08:47:00.000+03:00Alexander adds:All pieces in all variants as well ...Alexander adds:<BR/><BR/>All pieces in all variants as well as in basic game are always shared.<BR/><BR/>Game is always for 2 players.<BR/><BR/>Whether one can "fix" winning position while setting up the board is not that relevant since players decide who makes the first move after the board is set up. (eg. rolling dice ). See page 8.<BR/><BR/>Even if one can set up winning position, one has still play faultlessly to win, with opponent doing everything to prevent it.<BR/><BR/>And one can always increase the number of pieces and play on larger boards or use many other variants of the game.Yehuda Berlingerhttps://www.blogger.com/profile/16038826060312027387noreply@blogger.comtag:blogger.com,1999:blog-9319479.post-86431056199002883272008-08-07T19:50:00.000+03:002008-08-07T19:50:00.000+03:00http://en.wikipedia.org/wiki/Nim<A HREF="http://en.wikipedia.org/wiki/Nim" REL="nofollow">http://en.wikipedia.org/wiki/Nim</A>Yehuda Berlingerhttps://www.blogger.com/profile/16038826060312027387noreply@blogger.comtag:blogger.com,1999:blog-9319479.post-33282395076269945722008-08-07T19:47:00.000+03:002008-08-07T19:47:00.000+03:00What is a NIM game?What is a NIM game?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-9319479.post-62504241339641074212008-08-07T09:59:00.000+03:002008-08-07T09:59:00.000+03:00As to the last comment, in the basic game, all pie...As to the last comment, in the basic game, all pieces are shared.<BR/><BR/>The colors only come into play in a variant.<BR/><BR/>YehudaYehuda Berlingerhttps://www.blogger.com/profile/16038826060312027387noreply@blogger.comtag:blogger.com,1999:blog-9319479.post-38746097581813607072008-08-07T09:49:00.000+03:002008-08-07T09:49:00.000+03:00Correct, but the placing of pieces is itself part ...Correct, but the placing of pieces is itself part of the game. Let's say that Alice gets to place the last piece. Where she needs to place it obviously depends on where the previous pieces have already been placed. In <B>most</B> configurations, she will be able to place it so that after placement the board is in a zero state. But Bob could probably have placed his last piece in such a way that no matter where Alice placed her piece she couldn't force a win. Of course Bob would only have had such a play available, if Alice ...<BR/><BR/>So I would bet that the original board configuration with no pieces yet played is an "N" position ("N"ext player win).<BR/><BR/>Note: Since each player moves his own pieces, this game is nor really a NIM like game, so the term "0 position" is not as accurate as "N"ext and "P"revious player wins.David Kleinhttps://www.blogger.com/profile/06755024284475081837noreply@blogger.comtag:blogger.com,1999:blog-9319479.post-43599167443670260242008-08-07T09:37:00.000+03:002008-08-07T09:37:00.000+03:00I don't see that. In a NIM game, the person who ac...I don't see that. In a NIM game, the person who achieves control is the one who is at state 0 and can always return to state 0 regardless of what move his opponent makes.<BR/><BR/>With the mechanic of placing pieces onto the board, the last person to place a piece gets to effect the state, not the first person. This is because he has free range of where to place the last piece.<BR/><BR/>If the game started with movement, then the first player to move would be able to effect that state, if he wasn't already dead.Yehuda Berlingerhttps://www.blogger.com/profile/16038826060312027387noreply@blogger.comtag:blogger.com,1999:blog-9319479.post-9998568011391858642008-08-07T09:22:00.000+03:002008-08-07T09:22:00.000+03:00Yehuda said:That you place the pieces on the board...Yehuda said:<BR/><BR/><I>That you place the pieces on the board should give the last player to place a piece a distinct advantage, if he can calculate correctly.</I><BR/><BR/>The same "argument" would actually imply that the <B>first</B> player to place a piece on the board has a distnict advantage <B>if</B> he can calculate correctly...David Kleinhttps://www.blogger.com/profile/06755024284475081837noreply@blogger.com