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I haven't played the whole set of ten games yet, but I am also curious about the stars. I beat the first player in the easy game by a really large margin but got only two of three stars. It's also possible in this game to replay someone you beat rather than just moving on to the next opponent. I'm guessing that this allows you to win by more than you did the previous time and perhaps get more stars?
iknow on facebook we ususually we get prize for each level