I've thought about trying to make something like that before haha, though never for mobile, which upon further thought, does seem like the platform to which it would be best suited. Online competitions about how, er, "well-bred?" your Pokémon are would be fun, and I wouldn't be surprised if we see something like this in the future as it's a fairly natural game idea that shouldn't be too hard to design in terms of its mechanics. Hope to see a game like this!
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