It's crazy how complex it is to come up with a mathematically rigorous solution. Solution for 2 people is: cut & choose - one person cuts the cake and other picks 1 piece. Now solution exist for n
34 page paper: https://www.cse.unsw.edu.au/~haziz/efcakegeneral.pdf
Solution isn't just about cake. It's about fair division of resources when resource itself isn't homogeneous. Solution can work for things such as land division. It's a pretty big discovery when you think about applications. There's a good description in the video:
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