The Brams–Taylor theorem is a result in fair division discovered by Steven Brams and Alan D. Taylor. First published in the January 1995 issue of American Mathematical Monthly,[1] it explicated the first finite procedure to produce an envy-free division of an infinitely divisible good among any positive integer number of players.[2] Prior to the discovery of this theorem, Sol Garfunkel contended that the problem solved by the theorem, namely the n-person cake cutting problem, was among the most important problems in 20th century mathematics.[3]