For decades I’ve been struggling to remember the title of a science fiction short story I read in some anthology as I was younger: by tone and subject it could be from the 50s or 60s. It must have been written prior to the late Seventies or early Eighties, as it is when I read it. I have no idea about the author: I used to think it was Frederik Pohl but after reading everything I could find written by him I had to give up. It has to be someone else. And it isn’t «The Racer» by Ib Melchior either, as I’ve read it recently in the hope it was the story I’m looking for but it wasn’t.
The story is set in the near future, in a dystopian America where car drivers hunt for pedestrians on the streets: probably there’s an ongoing open war between pedestrians and drivers; both groups go by a nickname, which in the Italian translation that I read back then sounds like «the Dismounted» (or maybe «Ground Pounders») and «the Motorized».
The one scene I remember is the opening, when the protagonist’s armored car runs over an old lady who’s crossing a town’s street: instead of running away, she grabs her gun and shoots the car. Later the protagonist is shown fastening bolts on the car to patch the holes left by those bullets.
Could you help me find this story?