Vector Powers

This game was presented at 100 Strategic Games for Pen and Paper by Walter Joris. The game is played on a 4x4 board. Each player has 4 game piece in his/her own color.
At the begining of the game each player alternately, place eight friendly stones each.
During just four turns, each player shifts one row left/right, one column up/down or one of the two main diagonals, just by one cell.
Every stone pushed out the board is removed from play.
After those four turns (i.e., eight shifts), The player with more stones on board wins the game (or a draw if equal).