Is government involvement in creating a monopoly desirable?

Answer 1

No. Actually it is not only undesirable but the framers say the dangers of this and created many laws protecting against the development of monopolies.

Answer 2

yes oil companies colluding together form a very mutually beneficial monopoly for the military industrial complex

Answer 3

It is possible, but unlikely. In the US, for example, private enterprise does not operate passenger trains because they cannot make enough money. So the government runs passenger trains in the theory that it is better to have passenger trains than not have them.