>>24641997
>He also argues for similar reasons, women, even married women, she believes impregnated by whomever they wish because it will lead to more vigorous offspring

That's not what Socrates says. He says that marriages should be awarded by the state. He's proposing a human husbandry (directed breeding) program, where the state has the best men breed with the best women. This is done under the illusion of a lottery system to placate the losers. Outside of the state-prescribed breeding, he sets boundaries for freedom to engage in voluntary sexual behavior (although he qualifies this by saying that promiscuity is impious), but with the proviso that children born outside of state-sanctioned unions will not be nourished by the state (i.e., left to die).

In conclusion, your summary is wrong because it's the state (i.e., the guardians), not the women, who are in charge of mating.