I was able to remap the gamepads using the app Joystick Mapper, which wasn't free ($5), but worked very well. The B button (down position) was pretty wonky though. It would make one character jump and another one swap and I couldn't get it to behave. I ended up assigning the jump functionality to X (top position), and that seems to work fine.
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Out of the box, the gamepads I ordered (Next Game Controller, in the style of Super Nintendo controllers) didn't really work. The arrow buttons didn't work at all, Start worked, X = jump, B = swap. No buttons mapped to duck. I see there is some free software out there that will remap controllers, so I'm going to give that a try and let you know what learn.
I went ahead and ordered a two-pack. If it doesn't work out for Joggernauts, I can probably re-purpose them for some other novel use. I'll let you know how it goes, and look forward to the phone interface in any case.
I'm not someone who does a lot of gaming, so I don't have a bunch of gamepads sitting around, nor will I need many going forward. Perusing Amazon Prime, this seems like the cheapest way to get multiple controllers, but will they work with Joggernauts? Do you have any specific suggestions for controllers that won't break a penny-pincher's bank?