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Brams-Taylor procedure : ウィキペディア英語版 | 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 an cake among any positive integer number of players. == History == In 1988, prior to the discovery of the BTP, Sol Garfunkel contended that the problem solved by the theorem, namely n-person envy-free cake-cutting, was among the most important problems in 20th century mathematics.〔(More Equal than Others: Weighted Voting ) Sol Garfunkel. For All Practical Purposes. COMAP. 1988〕 The BTP was discovered by Steven Brams and Alan D. Taylor. It was first published in the January 1995 issue of American Mathematical Monthly, and later in 1996 in the authors' book.. Brams and Taylor hold a joint US patent from 1999 related to the BTP.
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