>A poor tenant with a voucher is preferable, because the
>government always pays the rent.) So we incentivize single-
>parent households, which are more likely to remain in
>poverty.
Yes, there's an incentive here, but it seems unlikely to me that this is going to be enough to make people get divorced or probably even fail to get married if they meet the right person. More likely they would just fail to mention it to the government.
I definitely agree on the rest of what you're saying, though.