Why is such a time-frame for this kind of a transition so ludicrous?
In 1989 cell-phones were uncommon and looked like this: http://phoneevolution.files.wordpress.com/2013/03/1.jpg.
In 1899 there were about ~8,000 automobiles in the United States [1]. In 1924 Ford was producing over 2M Model T's per year [2].
In 1903 we saw the powered flight of a heavier-than-air aircraft by the Wright brothers. In 1927 somebody flew an airplane across the Atlantic ocean. [3]
[1] http://web.bryant.edu/~ehu/h364/materials/cars/cars%20_19th....
[2] http://web.bryant.edu/~ehu/h364/materials/cars/cars%20_30.ht...
[3] http://www.loc.gov/exhibits/treasures/wb-timeline.html#1903
So I am going to have to disagree, 25 years would have to be the most optimistic kind of prediction, assuming that all players are willing and pro-active, rather than passive and resistive (both in society and legally speaking).
That person will profit from their vehicle whenever they're not using it (and tax free against the cost of the vehicle?). They'll either build up a fleet or others will catch wind and do the same. Someone buying a new vehicle will be choosing between the default or something that self-drives only them around or something they can share with friends or rent out to the masses. An equilibrium will be reached where the needs of the city are covered for the costs involved.
Want to go to a restaurant and drink more than you could and still drive? Easy. Want to have a truck show up and help you move a sofa? Easy.
25 years is a long, long time...
I know I would never want to share my car with strangers, any more than I would want to let strangers live in my house while I am at work. This may change I suppose, but if it does I think it will be more by force than by choice.
25 years from now, we'll still eat similar things, use similar vehicles, transact in similar ways, but I think that the gap between the front of technology and those old things will widen. We won't see current cars quickly replaced, but I'm confident that Google & co will make decent progress with each year on their technology, then regulation, then adoption.
As for sharing your car, remember that eventually generations of future drivers will know little different. Or gradual cost pressure or advantages will influence decisions. It will start with use of vehicles in resort/campus-type situations, then eventually start to replace second vehicles then may be the only car for some people.
Driving age in Australia is 16. So there are another 9 years before someone is born who will reach driving age by the 25 year mark.