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The Robertson–Webb protocol is a protocol for envy-free cake-cutting which is also near-exact. It has the following properties: It works for any number ( n) of partners. It works for any set of weights representing different entitlements of the partners. The pieces are not necessarily connected, i.e. each partner might receive a collection of ...
The Stromquist moving-knives procedure is a procedure for envy-free cake-cutting among three players. It is named after Walter Stromquist who presented it in 1980. [1] This procedure was the first envy-free moving knife procedure devised for three players. It requires four knives but only two cuts, so each player receives a single connected piece.
Fair cake-cutting. If a cake with a selection of toppings is simply cut into equal slices, different people will receive different amounts of its toppings, and some may not regard this as a fair division of the cake. Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with ...
No matter which cutting method you use, there are a few cake cutting tricks that'll make it easy to get a good slice. Choose the right kind of knife for the job Ben-Israel swears by a fish slicing ...
Ramsey partitions. Suppose a cake has to be divided among Alice and George, Alice is entitled to 8/13 and George is entitled to 5/13. The cake can be divided as follows. Alice cuts the cake to 6 pieces with valuation-ratios 5:3:2:1:1:1. George marks the pieces that have for him at least the value mentioned by Alice.
Truthful cake-cutting is the study of algorithms for fair cake-cutting that are also truthful mechanisms, i.e., they incentivize the participants to reveal their true valuations to the various parts of the cake. The classic divide and choose procedure for cake-cutting is not truthful: if the cutter knows the chooser's preferences, they can get ...
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Egalitarian cake-cutting is a kind of fair cake-cutting in which the fairness criterion is the egalitarian rule. The cake represents a continuous resource (such as land or time), that has to be allocated among people with different valuations over parts of the resource. The goal in egalitarian cake-cutting is to maximize the smallest value of ...
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