From: Madars Virza
To: jeevacation@gmail.com
Subject: Re: thx
Date: Tue, 04 Dec 2018 20:59:08 +0000
:-)
If you like recreational math as well, here's one of my favorite puzzles about cooperative games:
There are two players, a referee and a standard 8x8 chess board in a room. Each of the board's 64 squares is
either empty or has a pebble on it (all pebbles identical) but other than that the configuration is arbitrary. The
players don't know the configuration on the board, but can agree on a strategy beforehand. After agreeing on a
strategy they will play the following game.
The referee first takes the first player in the room, and points to a square of referee's choosing on the chess board.
The first player must choose a square and flip its state (i.e. place a pebble on it if the square was empty, or
remove the pebble if the square had one before). They both leave the room.
Afterwards, the second player and the referee enter the room. The second player must now identify the square
referee originally pointed to. If his guess is correct, the players win, otherwise they lose.
If the players knew the contents of the board beforehand, there would no puzzle (you'd just flip the square
referee pointed to). Surprisingly, there is a strategy that works no matter the initial contents of the board!
Madars
On Tue, Dec 4, 2018 at 12:57 PM J leevacation®gmail.com> wrote:
your prayers help.. mathematics helps more :)
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Madars Virza
Research Scientist
MIT Media Lab
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