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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).
12″ × 12 New Order Vinyl Campaign is the title of a series of 12-inch singles released by New Order in February 2006 through New State Recordings. The discs contain a mixture of both new and previously released remixes of past New Order songs.
The canonical example is the division of a cake using a knife. [ 1 ] The simplest example is a moving-knife equivalent of the " I cut, you choose " scheme, first described by A.K.Austin as a prelude to his own procedure : [ 2 ]
A procedure by Aziz and Mackenzie (2016) [7] finds an envy-free division for n people in a bounded number of queries. The negative result in the general case is much weaker than in the connected case. All we know is that every algorithm for envy-free division must use at least Ω(n 2) queries. There is a large gap between this result and the ...
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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.
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