On Tue, Jan 06, 2004 at 01:57:53PM -0800, David Gale wrote:
In fact the forehead numbers need not be integers. Any non-negative real is ok. Zero is legal and the game ends after two dings. Negative numbers are not allowed.;
Which game are you talking about when you say the game ends after two dings with a zero? With the 6, 8, 15 game I found that the game can take up to 6 dings when there is a zero. Unless I made some mistake?
Peace, Dylan
The 5,8,15 game with 0 allowed can last 10 rounds. Games with 0 last 5 or 6 rounds. With 0 not allowed the longest game is 4 rounds. Different deductions, so 0-possibly is important in specifying the game. Nice family of puzzles! I'm still stumped by the 3-player 6,7,8 games with 2,2,2 showing. - Scott