Cake-cutting | Fair division protocols

Last diminisher

The last diminisher procedure is a procedure for fair cake-cutting. It involves a certain heterogenous and divisible resource, such as a birthday cake, and n partners with different preferences over different parts of the cake. It allows the n people to achieve a proportional division, i.e., divide the cake among them such that each person receives a piece with a value of at least 1/n of the total value according to his own subjective valuation. For example, if Alice values the entire cake as $100 and there are 5 partners then Alice can receive a piece that she values as at least $20, regardless of what the other partners think or do. (Wikipedia).

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Stefan Banach | Proportional division | Moving-knife procedure | Rectangle | Fair division | Fair cake-cutting | Hugo Steinhaus | Divide and choose | Triangle | Convex set | Envy-free cake-cutting