Unless two people decide simultaneously (to within some tolerance) to set off at the same time: mini roundabouts are so small that in the time it takes to set off, recognise that someone else has also done so and is blocking your path, and braking to a halt, a collision has occurred.
I think that is the situation that the OP was referring to: everyone waits for someone else, then when no-one moves, more than one person thinks "sod this, if no-one's moving, I'll go first", and you have a collision.
This problem can happen in a communications network when two devices try to talk at the same time and "hear" each other. Fortunately there is a way of resolving this: "back off, wait a *random* time, and retry" - the crucial thing being the random element so both don't try to talk again at the same time.