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  2. Levmore–Cook moving-knives procedure - Wikipedia

    en.wikipedia.org/wiki/Levmore–Cook_moving...

    The Levmore–Cook moving-knives procedure is a procedure for envy-free cake-cutting among three partners. It is named after Saul X. Levmore and Elizabeth Early Cook who presented it in 1981. [1] [2] It assumes that the cake is two-dimensional. It requires a referee, two knives and four cuts, so some partners may receive disconnected pieces.

  3. Fair cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Fair_cake-cutting

    The "cake" is only a metaphor; procedures for fair cake-cutting can be used to divide various kinds of resources, such as land estates, advertisement space or broadcast time. The prototypical procedure for fair cake-cutting is divide and choose, which is mentioned in the book of Genesis to resolve Abraham and Lot's conflict. This procedure ...

  4. Divide and choose - Wikipedia

    en.wikipedia.org/wiki/Divide_and_choose

    Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible). The procedure ...

  5. Stromquist moving-knives procedure - Wikipedia

    en.wikipedia.org/wiki/Stromquist_moving-knives...

    The Fair pie-cutting procedure provides a simpler solution to the same problem, using only 3 rotating knives, when the cake is a 1-dimensional circle ("pie"), The Robertson–Webb rotating-knife procedure provides an even simpler solution, using only 1 rotating knife, when the cake is 2-dimensional. Moving-knife procedure

  6. Cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Cake-cutting

    Cake-cutting may refer to: Fair cake-cutting, a mathematical problem of fairly dividing a heterogenous resource among people with different preferences Efficient cake-cutting, a similar division problem in economics and computer science; Wedding-cake cutting, the habit of cutting the wedding cake and distributing it to the guests, as a symbol ...

  7. Truthful cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Truthful_cake-cutting

    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.

  8. Envy-free cake-cutting - Wikipedia

    en.wikipedia.org/wiki/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.

  9. Brams–Taylor procedure - Wikipedia

    en.wikipedia.org/wiki/Brams–Taylor_procedure

    The Brams–Taylor procedure (BTP) is a procedure for envy-free cake-cutting.It explicated the first finite procedure to produce an envy-free division of a cake among any positive integer number of players. [1]

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