I recall reading a book when I was young, in the late 60s or early 70s. The world was ruled by women who lived in a city in the clouds. The planet was occupied solely by the men, who were used as prey for the women to hunt. Reproduction was by parthenogenesis.
Can't remember much of the plot, but I think eventually the women found they needed men for some reason.
I have a feeling this was by one of the well-known authors, but I have looked through the bibliography of Herbert, Heinlein, Silverberg, Pohl, etc. and not found the book yet.
Any help please?