[Belegorn]

I agree with Zigûr. The Rings were really all Elven Rings of Power, not necessarily meant to be shared among the different peoples. However, Sauron had a hand in their design and guidance. His purpose was to make use of these instruments as a means of enslaving the free peoples, Elves, Men, and Dwarves, which is why when he took the Rings he distributed them among the different people. It would seem that this would be a very good plan if it had worked out. Having Elven lords, Kings of Men, and Dwarf lords under his command. But it did not. The Elves caught onto him when he put on his Ring and took theirs off until he no longer had the One in his possession. What he would have did with the 3 had he captured those as well I'm not sure. Getting his hands on those was what he really wanted and was why he invaded Eriador. So the Elves wanted to make these Rings for themselves, to bring Aman to Middle-earth, that is, to stay decay, which Sauron played on when his purpose was to use these Rings to control the free peoples.