game 4
Ok this game is for two players, played on any x by x board (chess board of 8x8 dimensions would be pretty standard)
Each player has X pieces (8 for a chess board) and places them in the row closest to them.
Each piece can move one square initially forward-backwards and sideways.
After the opponent takes a piece, all of the players pieces get an extra move:
so with 7 pieces left, each moves 2 squares
with 6, 3
ect...
Finally, so that the attacking player isn't at a total disadvantage, pieces move diagonally when there are an odd number of them,
and straight when there are an even number.
Could easily arrange a board of icehouse pieces too.