The following game was invented by a
bright five year old.
I haven't had the opportunity yet to
investigate it thoroughly, but it looks interesting.
Perhaps you could work it through and let
me know what you find.
Rules
Start with a red board which has two holes like this:
Each player owns a hole and the objective is to be first to
move it to the opponent's starting point.
Moves are made by removing another plug and placing it in the
current hole. In effect, therefore, the hole moves across the
board.
Holes can only move forward or sideways - never back.
Holes can only move one vertical, horizontal or diagonal space
from their current position on each turn.