One ring to rule them all,
One ring to find them
One ring to bring them all
And in the darkness bind them.
...which would, I suppose, make Sauron's projected rule of Middle Earth a dactylethronarchy, or rule by a ring, but as far as I know no one in this world has ever tried it.
Rule by many kinds of other authorities have been tried, though. Autocracy is rule by a single rapidly-degenerating-into-madness person (though if they're selected by a lottery system then that's demarchy; and if the system is hereditary then that's a monarchy); biarchy is the same thing, but with two people rapidly degenerating into mutual hatred; decarchy has a committee of ten people in charge, and there are also words for rules by other numbers of people: octarchy, pentarchy, polyarchy. tetrarchy, and triarchy. Endarchy is any centralised system of rule (unless you're a botanist, when it's a system where fluids spread out from the centre of the plant). Futarchy is a system devised by Robin Hanson where people are ruled by principles that will tend to make them happy; gynarchy is rule by women; hierarchy is the system where the rulers are ranked in order of importance; holarchy is rule by...well. people are still arguing about that, but the basic idea seems to be that everyone is valuable for themselves; kritarchy is rule by judges.
Then we have rule by:
children - paedoarchy
male head of family/group/everything - patriarchy
female head of family/group/everything - matriarchy
tribe/class - phylarchy
saints - hagiarchy
groups that take it in turns, depending - heterarchy
more or less anyone, but they're all horrible - kyriarchy
a group - oligarchy
the church - ecclesiarchy
someone the church hates - heresiarchy
rich people - plutarchy
poor people - ptochocarchy (except that this word doesn't actually seem to exist, which is no surprise at all. However, there is a word ptochocracy).
And, finally, depressingly, anarchy is rule by no one.
Personally, I just wish to know as little as possible about any of them.
Word To Use Today: one ending -archy. In Greek, arkhein means to rule.
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