1970s/80s short story compilation anthology where eating real food is illegal and an android "nanny" fighting the neighbour's one

Question

I just remember two of the stories:

1. A woman ventures out at night, feeling guilty and ashamed but goes out to eat at a place that seems more like a speakeasy type place. She talks with a man who gives her steak to eat - a rare and expensive treat and subsequently gets arrested for breaking the law and eating real food.

2. A father buys a 'Nanny' android for his children which wakes him during the night as it silently sneaks out of the house to fight with the neighbours 'Nanny'. When he wakes the next morning to find pieces of his nanny strewn around the garden and as his children cry for their Nanny he resolves to buy the most up to date expensive nanny money can buy.

I seem to remember that the front of the book had a big head type image and that is all.

Answer 1

The second story here is "Nanny" (1955) by Philip K. Dick. Apparently it has been published multiple times in different anthologies so I will look for the other story in any of them.

Nanny is a science fiction short story by Philip K. Dick, first published in 1955 in Startling Stories and later in The Collected Stories of Philip K. Dick. It has since been republished several times, including in Beyond Lies the Wub in 1988.

The story takes place in the future where every family has a mechanical robot as a Nanny. A family of four has an older model Nanny, and every night, when the family goes to sleep, the nanny and the neighbor's nanny, which is a different model, meet in the back yard and fight. The Nanny gets damaged and must be repaired, which frustrates the family, as they're advised to upgrade to a newer model.

One day, the kids take the nanny to the park, where it gets assaulted and killed by another, much larger and more powerful Nanny. Their father, upset with this, goes and buys a brand new Nanny, the toughest model available. The kids are excited, but later, their new nanny kills the nanny of another family, whose father is forced to buy another Nanny, an even bigger one.

_{Goodreads, Nanny}

Answer 2

The first story might be Helen McCloy's "Number Ten Q Street". It does involve a woman buying a steak at a speakeasy for a high price, and being subsequently arrested for it. Most of the story can be read here.

As noted by SQB, one anthology that contains it, Worlds Apart: An Anthology of Science Fiction, does have a cover with a floating head. However, it does not contain "Nanny".