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Envy-free cake-cutting. An envy-free cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the envy-free criterion, namely, that every partner feels that their allocated share is at least as good as any other share, according to their own subjective valuation.
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.
Hold a cutting board upright at at 90˚angle, against the side of the cake. Using a chef's knife, cut length-wise, parallel to the edge of the cake, so that you get one long rectangular piece.
Rather than cutting the cake into triangular slices, cut a grid into the cake, creating slices about an inch thick and two inches wide—giving each person roughly the same amount of cake.
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 ...
The fair pie-cutting problem is a variation of the fair cake-cutting problem, in which the resource to be divided is circular. As an example, consider a birthday cake shaped as a disk. The cake should be divided among several children such that no child envies another child (as in a standard cake-cutting problem), with the additional constraint ...
1. Cow skull cake. This is the first cake Sideserf took a stab at for a friend's birthday party. Little did she know this would be the first step in her delicious cake-making journey ...
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