Here is another simple game.

(Again, not a lot of math, but still the kind of game which might be

interesting to analyze mathematically.)

2 players.

You have an n-by-n grid, where n is even.

Each player has a different colored pencil/pen (or one player has a

pencil, the other a pen).

Players take turns writing integers into yet-unfilled squares. The

integer a player writes in a square is the number (0 to 3) of adjacent

squares (above/below/right/left) which have, at the time the player

writes the integer, integers written in them which are of the player's

OWN color.

A player can only write an integer in a yet-unfilled square which

either is on the border of the grid or is immediately adjacent

(above/below/right/left) to a square filled in with the player's

OPPONENT'S color.

(Unlike with "Next To Something: Grid-Game", in this game a given player can

fill in a square in any of the 4 empty squares adjoining his/her

opponent's color or in any empty square along any of the 4 borders of

the grid, not just in 2 of the empty squares adjoining an opponent's

square or along 2 of the grid's borders.)

If a player cannot move, because there are no empty squares next to

his/her opponent's color, he/she simply skips his/her move.

Play continues until the grid's squares each have an integer written

in them.

The winner is the player whose total sum of all his/her integers is

greatest.

Any winning strategies?

thanks,

Leroy Quet

## Thursday, September 18, 2008

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