Your rules sound fairly violent. Here is our version, which is suitable for
kids as well as adults:
The riding area is confined to 'roads' marked with lines on the floor. You are
not allowed to push or pull with your hands or anything like that. Your only
tool is your unicycle. Bump your tire into someone else's tire or pedals. The
last one to stay on his uni has won.
Another version uses a thick rope with the two ends tied together to make a
ring. Everybody holds the rope with at least one hand and idle or ride around
in a circle. At a given moment the fight begins: Pull the rope and try to make
others fall or let go. Anybody who falls or lets go of the rope is out. The
last one to stay on the cycle and hold the rope is the winner. It is allowed to
trap somebody in the rope or to get the rope around his pedals. It is not
allowed to push or pull somebody with your hands.
Eager to hear about other games...
Agner
Copenhagen Unicycle Club