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Fair Cake, Fair Share: The Math Behind Every Slice

Author
Mike Breault
Published
Sun 13 Oct 2024
Episode Link
None

We dive into the math of fair division—from proportionality and envy-freeness to equitability and exactness. Through real-world analogies (land, broadcast time, inventions) and classic procedures like moving-knife methods, we explore how to slice the metaphorical cake so everyone ends up happy or at least without envy. We’ll also touch on truthfulness, efficiency, and the surprising peak at Weller's theorem, where fair partitions crystallize.


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