Waymo says Austin, Texas, will be its next robotaxi city

Waymo says its driverless taxis will traverse “a large portion of the city night and day,” covering spots like “the heart of downtown, Barton Hills, Riverside, East Austin, Hyde Park and more.” The company makes no mention of the Austin-Bergstrom International Airport, where the taxi business is typically the most lucrative.

I don't understand how a driverless car can work when we barely paint lines on our streets, sure as heck can't see lanes in the rain most of the time. Also, how will these things react to the people that like to run up to the front of lines and just cut in without any regard to other's safety, will the smart car just slam on the brakes?