[xvector]

> They are in complete control of the programs that you can install on your iphone,

This isn't a monopoly. With your logic I could scope down to arbitrary levels and call everything a monopoly.

* Oh, Safari is a monopoly because you can only set the search engines Safari lets you!

* Verizon is a monopoly because they look the bootloader on a phone bought from Verizon!

* Target is a monopoly because you can only buy the products Target sells when you're in Target!

Monopolies are considered in the scheme of the wider industry. And in the wider industry, Apple is far from a monopoly. Both users and businesses can move to other platforms that in fact have more consumers.

Just like you could go to another supermarket down the street, you can switch from iOS to Android.