How is Uber a "better product" than a taxi? As far as I can tell, it's competing on price, and that's it. If cabs were the same price as Uber, I would take a taxi every time.
You can just call one from your apartment when headed across town instead of waiting for one to drive by on the street. In my experience calling taxis isn't always reliable. Uber etc. show you the driver's location and distance, and they won't stop to bring someone else to the airport.
I think a big part is the quality of the taxis in your area. In San Francisco, they'd do the "card machine is broken" bit (eventually turning it on when you have no cash), or just not pick you up if you were headed out into the Sunset, or drive a longer way hoping you don't notice.
In Dublin, Ireland, calling an Uber will invariably call a taxi. They're usually friendly folks that don't mind that you're only going a few blocks to bring home your groceries because you missed the bus.
But the bar to call Uber a 'better product' is pretty low. There's nothing it does spectacularly better than Lyft or Flywheel or any other app.
A big part of their value is how low the customer experience can go with a traditional taxi. I just want to rent someone's time for point to point transit without any bullshit.
Rusty car. Driver doesnt speak english. Smoking out the window and talking on cell phone in another language. Floors it and slams on the brakes. Seatbelts broken. Credit card machine broken.
Hum why would I take a lyft.
As a really simple example, as applies to my city, I have had to wait 2 hours for a taxi more than once. I've never waited more than 25 minutes for an uber. Average times are ballpark 10 minutes vs. 30 minutes.
I would take uber if it were more expensive than taxis any day.
I really don't get what's so good about uber, they're just like taxis, but worse quality, and bending the law.
Once they have it, they'll have little reason to underprice anymore. You need drivers to run this kind of business (for now), and they will create an upward pressure on cost (to a point) as they move between legitimate services based on who actually pays them a living.
Note: Just to skip a potential semantic argument that always crops up around this: whether or not you believe it's appropriate to call it a monopoly if it's not enforced by government fiat is beside the point.