Artist's Comments Badroulbadour ("full moon of full moons") is an Asian princess from China whom Aladdin married in the story of Aladdin and the Magic Lamp. When Aladdin finds the magic lamp he discovers that it contains a djinni that is bound to do the bidding of the person holding the lamp. With the aid of the djinni, Aladdin becomes rich and powerful and marries princess Badroulbadour. In the animated version of Aladdin made by Disney, her name was changed to Jasmine and she was an Arabian princess instead, presumably for the convenience of Western voice actors and viewers.
I seem to recall a version I read at one point in which Aladdin also had a lesser djinn in a ring that also granted wishes. That one also never mentioned any real limitation to the number of wishes. Interesting.