* I've seen research that indicates there are fewer drunk driving fatalities, when things like Uber are available in a town. I would imagine self-driving cars would follow that same trend.
* I would guess that more people able to stay out late, drinking and spending money.
* I've heard that with 10% of traffic being self-driving that it reduces overall traffic congestion. That sounds great.
* Potentially reducing the demand for parking, which increases the supply for development (which yields more tax income for the city)
* Potentially makes longer commutes more palatable, allowing people to work farther away from home, which eases housing costs.
* Easier tourism.
* Easier access for the disabled.
Those seem like good reasons, in favor.
And even if it doesn't, having a small positive impact on areas outside the "city center" would still be a good thing.
If the right people donate the right amount to the right things they will be permitted. This is how government in NYC works.