A simple and excellent idea. Kudos for using the proper term (emigration) too 
I wonder if emigrants could be given a sense of location so they'd emigrate to the happier city closest to them (eg, if the city is just next to the otomans it'll emigrate to them, but if it is across the country near the egyptians it'd emigrate to them instead)

I wonder if emigrants could be given a sense of location so they'd emigrate to the happier city closest to them (eg, if the city is just next to the otomans it'll emigrate to them, but if it is across the country near the egyptians it'd emigrate to them instead)