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Indeed... It just would not happen. In any area where there are peds autonomous cats would actually stick to a speed limit which they could come to a stop from in the shortest possible distance. Unlike humans.
On top of this, as Hippy said, these cars will all talk to each other, a bit like a company of soldiers all marching off together or stopping together, autonomous cars will be able to read the road tens of meters, kms even, ahead of their current position.
Why is the car travelling at 100km/h on a road with high numbers of pedestrians on "a crowded walkway" alongside?