The oikos
The oikos is the household — the family, the land, the livestock, the stores, the slaves, and the standing that goes with them. It is the basic unit of the world the Odyssey depicts, and it is an economic, political and religious entity at once.
Greek political thought never quite escaped this. Aristotle's Politics begins with the household and builds the city out of it, and the word oikonomia — household management — is the ancestor of economics.
The Odyssey is a poem about an oikos under threat, which is why a story about a marriage is simultaneously a story about a kingdom.
What is actually happening on Ithaca
The situation is precise and worth stating precisely, because the poem depends on it.
Odysseus has been gone twenty years and is presumed dead by most people. His wife has not remarried. His son is only now old enough to act, and has no independent authority. A hundred and eight young men of the leading families of Ithaca and three neighbouring islands are living in the house, consuming its stores and livestock, waiting for Penelope to choose.
Their offence is not wanting to marry her. It is the manner: courtship should take place at the bride's father's house, with gifts given, not at the absent husband's expense. Telemachus says this in the assembly in Book 2 and Penelope says it to the suitors' faces in Book 18.
The failure of institutions
Book 2 is the poem's political centre. Telemachus calls an assembly — the first in twenty years — and it fails. The institutions exist: there is an assembly, there are elders, there is a seer who reads the omen correctly. They are simply unable to act, because the authority that would enforce a decision is the king's, and the king is not there.
This is the poem's diagnosis. Ithaca is not lawless. It is a place where law has no executive.
Everything that follows is a consequence. If no institution can remove the suitors, the only remaining instrument is the returning king, in person, with a bow.
The household as a political map
The poem organises its cast by their relation to the oikos, and the loyalties do not follow status.
Eumaeus and Philoetius, both slaves, keep faith. Eurycleia the nurse keeps faith. Melanthius the goatherd and Melantho the maid do not. The suitors, who are aristocrats and guests, are the principal threat. Loyalty in this poem is not a function of rank, and the poem is interested in that.
What restoration costs
Book 22 solves the problem by killing everyone. Book 24 shows the bill: the families of a hundred and eight dead aristocrats arm themselves, and Ithaca is one scene away from a civil war that would destroy the household the killing was meant to save.
Athena stops it. The peace at the end of the Odyssey is imposed by a god, not achieved by the king.
That is the poem's final political statement, and it is not comfortable: violence can recover a house and cannot by itself restore a community. It is also the part of the poem adaptations most often remove.
Later interpretation
Moses Finley's The World of Odysseus (1954) read the poems as evidence for a society organised around the household, gift-exchange and personal followings rather than around the state, and argued it belonged to the Early Iron Age rather than the Bronze Age. The dating remains disputed; the structural description has been enormously influential.