No different than, say, consumer rental companies like Airbnb.
As a rider, there's no "cost" to having both apps, so I'll just check both.
Similarly, as a driver, I'll just sit with both apps open and see which one I get a rider on.
They did (well, it at least has multiple Uber and Lyft services, and I don't know that they get a kickback); the app is called “Google Maps”.
I guess the plan for Uber was always to use low prices to win the market and jack them back up later. Price comparison would interfere with this plan.
Sure, if you never left your country. I certainly didn’t want to register to Italy’s official taxi app - don’t wanna trust them my CC nor my life to horrible service I’ve received (same price as Uber, horrible car)
If, for example, HomeAway got a similar number of rentals to Airbnb (though in this particular case, it hasn't), then both markets could easily co-exist.
Creating C2C marketplaces, however, is not an easy task.