Something + -cracy/-archy (“strength, power”) produces a word meaning ‘rule by those who are/have/were whatever the something is’. For example, ‘plutocracy’ is pluto- (“wealth”) + -cracy and means ‘rule by the wealthy’, whilst ‘ptochocracy’ is ptocho- (“poverty”) + -cracy and means ‘rule by the poor’.
However, say one wanted to make some sort of point by describing different types of rule based not on who has the power, but who doesn't. How would you do so?
Theory 1: Is there a suffix in English, or that can be derived from Greek, that is antonymic to -cracy (meaning “weakness, powerlessness”)?
Theory 2: Is the answer to stick an a- somewhere, for example in either ‘aptochocracy’ or ‘ptochoacracy’ to mean ‘a situation in which the poor have no power’? I feel like -acracy would make more intuitive sense, if this is the case.
This question was inspired by the discussions on this one, but was distinct enough that I wanted to ask it separately.