Oligarchy is rule by the few.
Plutocracy is rule by the wealthy.
Corporatocracy is rule by corporations, by business.
Kakistocracy is by the least qualified or most unprincipled.
We've got all that, presently in Washington, DC, at least, if not also in too many state houses.
Literally.
Another definition of kakistocracy is rule by the worst element of society, government by the worst people.
Links, definitions: