Negative Toll at the Bay Bridge

I had lunch with V today and we discussed the idea of reducing traffic congestion in the Bay Area.

If only we can get more people to work different shifts, we thought aloud.

The simplest incentive, of course, is money, which works everywhere in our society. Thus the idea of a "negative toll" at the Bay Bridge during certain late night hours: one can collect four dollars when entering the toll booth between 11 PM and 3 AM. The amount is large enough, $20 a week, to be interesting to a person's budget for a daily journey, but not worth the gas money if one doesn't need to drive across the bridge for work.

Will this work?