I wonder how perception would change if instead of doing multipliers they did percentage off and discounts of a higher price which covered more bases. Then they could even reverse auction (I think that is what it's called, right?)
This is not uncommon in retailing where exorbitant prices are stated and then discounted. And there are cases where some people pay the high prices and are ok with paying them.
My point is, is it better to say (using an airline flight as an example):
Regular price of $945 to fly to SFO.
Today's price is $345 (normally $945) to fly to SFO.
..and so on.
The other
The existence of taxis as a very ready basis for comparison makes it different than airlines. Uber can (and, you know, does), say "We're 30% cheaper than taxis!" Then, sure, surprise, sometimes you see that actually they're 3x more expensive than that. But at that point you've got the app open and are seconds from doing the hailing -- that's gotta have a certain level of stickyness.
If Uber said instead, "We're twice as expensive as taxis!" significantly fewer people would even open the app to find out that actually, right now, they're way less expensive.
Round trip, SFO-PVG: $700
One way, PVG-SFO: $1300
I'd really like to get in on that PVG-SFO flight for under $700...
Don't do this often if you care about your frequent flier miles though.