Author: Gerrit Reubold
Date: 14:30:11 09/27/02
Go up one level in this thread
On September 27, 2002 at 17:07:57, Uri Blass wrote: >On September 27, 2002 at 16:17:02, Gerrit Reubold wrote: > >>On September 27, 2002 at 16:04:45, Uri Blass wrote: >> >>>On September 27, 2002 at 15:40:07, Gerrit Reubold wrote: >>> >>>>On September 27, 2002 at 15:04:26, Uri Blass wrote: >>>> >>>>>On September 27, 2002 at 14:40:09, Gerrit Reubold wrote: >>>>> >>>>>>Uri, >>>>>> >>>>>>I think your model of the game is not a model of the situation which I am >>>>>>discussing. >>>>>> >>>>>>Suppose you and me are playing the following game (f.ex. by email). >>>>>> >>>>>>1. I, the host, take an empty chessboard and put a single king one one of the >>>>>>squares. Trust me that I don't cheat. You send me your guess which square this >>>>>>might be. >>>>>> >>>>>>2. I assume you, the candidate, guess it is a1. >>>>>> >>>>>>3. I give you a hint: >>>>>>The square is not one of >>>>>> b1 c1 d1 e1 f1 g1 h1 >>>>>>a2 b2 c2 d2 e2 f2 g2 h2 >>>>>>a3 b3 c3 d3 e3 f3 g3 h3 >>>>>>a4 b4 c4 d4 e4 f4 g4 h4 >>>>>>a5 b5 c5 d5 e5 f5 h5 >>>>>>a6 b6 c6 d6 e6 f6 g6 h6 >>>>>>a7 b7 c7 d7 e7 f7 g7 h7 >>>>>>a8 b8 c8 d8 e8 f8 g8 h8 >>>>>> >>>>>>(Note that it is no difference if I suddenly forgot on which square the king >>>>>>stands, I decide to look only on the given 62 squares and, surprise, all of them >>>>>>are empty.) >>>>> >>>>>It is important if you know where the king is. >>>> >>>>No. >>>> >>>>> >>>>>Suppose for the discussion that you also do not know where the king is >>>>>so you always expose all the squares except a1 g5 after >>>>>I choose a1. >>>> >>>>No. I look at 62 random squares, excluding a1. >>>> >>>>> >>>>>Suppose that we start to play 64000 games(most of them are >>>>>not played because you discover the king >>>>>in one of the 62 squares). >>>> >>>>No. We play only this single game. We might play again and my hint will likely >>>>be different, maybe all squares except a1 and f8. >>>> >>>>Do you think it is a difference whether I forgot where the king is (I would have >>>>told you "game over" if I accidently looked at a square with the king on it) or >>>>whether I know the square of the king. >>> >>>Yes >>>Suppose you do not know the square of the king. >>> >>>Suppose that for every square x(not a1) we play 64000 games when you choose >>>square x. >>>In these games the king is in square y in 1000 games for every square y. >>> >>>I claim that I can expect 62000 games out of every 64000 games to be canceled >>>because the king is exposed(not in x and not in a1). >>> >>>I expect to win 1000 games out of 64000 games(the 1000 games when the king is in >>>a1) and I expect to lose 1000 games out of 64000(the 1000 games when the king is >>>in square x). >>> >>>The same hapen for everyone of the 63 squares that you can choose and I expect >>>to win 63000 games and to lose 63000 games. >>> >>>Uri >> >>One question: >> >>Do you agree: If the host knows the solution (the door with the car, the >>position of the king, ...), the candidate should switch? >> >>Greetings, >>Gerrit > >Yes If (_only if_, and this is the only situation which I discuss) the situation arises, that the host opened all the wrong doors, what should the candidate do: should he switch or not? He can't read the mind of the host, maybe the host knows the winning square/door, maybe it was just good luck. How should the candidate seperate these cases: I think it is not possible and he should switch. (obviously, I enjoy these discussion, sorry about wasting bandwith of those who are not interested, this thread is of course off topic...) Greetings, Gerrit
This page took 0 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.