I think we should all use the same ball.
beach ball
tennis ball
bowling ball
croquet ball
circus ball
super ball
kick ball
whatever ball
The characters can be different sizes,
so could interact differently to it,
such as a mouse, a man, a mammoth.
If the balls are different,
perhaps when one character gets a ball,
s/he could decide to keep it and pass on the another a different one that s/he has.
Of course this would take a bit more planning for continuity.
A story board would be in order.
The easiest would be to all use the same ball,
get it from the viewers left and pass it to the right.