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And sometimes when the wife is an heiress it is she who rules. In these cases then authority goes not by virtue but by wealth and power, as in an oligarchy.  The relation between brothers constitutes a sort of timocracy; they are equals, save in so far as they differ in age; hence, if the divergence in age be great, the friendship between them cannot be of the fraternal type. Democracy appears most fully in households without a master, for in them all the members are equal; but it also prevails where the ruler of the house is weak, and everyone is allowed to do what he likes. 11. Under each of these forms of government we find friendship existing between ruler and ruled, to the same extent as justice. The friendship of a king for his subjects is one of superiority in beneficence; for a king does good to his subjects, inasmuch as being good he studies to promote their welfare, as a shepherd studies the welfare of his sheep; hence Homer called Agamemnon ‘shepherd of the people.’  The friendship of a father for his child is of the same kind （only here the benefits bestowed are greater, for the father is the source of the child's existence, which seems to be the greatest of all boons, and of its nurture and education; and we also ascribe the same benefits to our forefathers）. For it is as natural for a father to rule his children, and forefathers those descended from them, as for a king to rule his subjects.