I would have done this. And if there wouldn't be an easy way later on to pay/donate, I would have just leave it unpaid.
I've found that I'll definitely pay for things after I've tried them, but I'm more hesitant to do it before.
You collect credit card info upfront, deliver the information they opted in for with their cc, then the option to not process your cc is presented.
You could even also opt to not share your e-mail address with the developer by paying directly, before accessing the thing at all.
For the same products, I feel I wouldn't change the price if it was listed at {3,4,5}.99$, I don't really know why. 1.99$ feels too close to an transaction fee, or some kind of things like that that feels like the money will be lost in The System. While paying >3.99$ seems to have more consistence, more purpose, since my intuition tells me that more of the value will end up in the proper pockets.
That's a very subjective take on this, but I support your idea that more people might have paid if the default would have been 3.99$.
Apparently even people "against humanity" still have a sense of justice.
Logical thinking won't help if you give it incorrect input data.
Unless you believe in supernatural; everything is math provided a correct model.
The idea that a model can do so has caused innumerable problems of late and it is frustrating to hear such myths perpetuated.
If you can't see a model you are not digging deep enough.
Though I understand your point of view. Some think that the fundamental physics can end i.e., a unified theory of everything is possible.
It is more likely that it is turtles all the way down i.e, we can always observe phenomena that contradict predictions of current theories (reveal assumptions that are not valid for the phenomenon).
I'm an Android guy myself so I might be wrong here (and your app is an example of non pirate usage for jail-breaking), but I often hear young relatives talking about jail-breaking their iPhones to save those $1-2 on apps, which to be honest, is pretty shitty behavior IMHO (yeah, I lecture them, they look at me like a crazy old person)
Careful not to fall into the trap of conflating jailbreaking with piracy. There are many, many good reasons to JB not even counting apps that end in -ous. Google voice and SMS extensions, f.lux, theming support, wifi tethering, and a great deal more low level customization than Apple gives you.
I quite often decide against offers because I feel they are marked up 20%-200% over what I perceive them to be worth, but have occasionally bought an extra copy later on (occasionally as a gift) if I've come to feel that I got a great deal originally. Other people pay grossly over the perceived worth if they want to support the seller for one reason or another.
At first glance I want to put in $0.00 just to see if it works, not necessarily because that's what I'd be willing to pay.
I keep meaning to write a blog post about the results, but ~99.5% of people paid $0. Of the people who paid, probably around 50% paid the $1.99 I had as default, but what's really interesting to me is the way people priced it if they changed the value. I got a number of payments for amounts like $1.25 and $1.50, and I remember looking at those completely baffled -- who cares enough to pay anything for this (you could just download it for free -- I don't mind) but not enough to pay an extra $0.49? Really wish I had an answer there; maybe people just like 'getting a deal'?