Here is asimple and unoriginal, but possibly fun, game.

Any number of players >= 2.

Start with an n-by-n grid drawn on paper.

(I suggest an n of at least 5.)

Before play each player *secretly* picks a positive integer.

Each player then writes down his/her number.

Starting in the upper left square, players take turns filling in

one square each move such that:

* the filled-in square is next to the square filled-in most recently

by the previous player, and the filled-in square is immediately either

above, below, left of, or right of the square most recently filled-in

by the previous player.

* the filled-in square was not already filled-in by any player

in an earlier move.

Play continues until there are no unfilled squares immediately adjacent

to the last square filled-in.

When the game is over (when every square next to last filled-in square

is already filled-in), the winner(s) is the player whose secretly

picked number (each of which is now revealed) is closest to the number

of squares of the grid which did *not* get filled-in.

So, players might try to guess, by observing which squares their opponents

fill-in, what their opponents secret integers are.

(For instance, is their opponent trying to end the game early, attempting

to continue the game, bluffing,...?)

Sample completed game:

(Numbers are filled-in squares. *'s are empty squares.)

1 2 * * *

4 3 101112

5 8 9 1413

6 7 1815*

* * 1716*

Player whose number is closest to 7 (the number of *'s) wins.

thanks,

Leroy Quet

## Friday, September 19, 2008

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