Flix Flax (2003)

A Rock-Paper-Scissors like game played on a 3x3 board. Each player has 3 pieces (Red, Yellow, Green.) Each player secretly places his three pieces on his side of the board. After all of the pieces are placed, the players take turns moving his pieces around the board horizontally, vertically, or diagonally. The opponent's pieces can be captured by moving onto them either vertically or horizontally, but not diagonally. The object is to capture all of the opponent's pieces -- Green takes Red, Red takes Yellow, Yellow takes Green.

http://www.printgames.net/english/flix/detail_e.htm