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Cutting Cakes Carefully
Theodore P. Hill and Kent E. Morrison
The College Mathematics Journal
Vol. 41, No. 4 (September 2010), pp. 281-288
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/074683410x510272
Page Count: 8
You can always find the topics here!Topics: Pareto efficiency, Mathematical procedures, Mathematical intervals, Cakes, Division, College mathematics, Mathematical functions, Combinatorics, Algebra
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SummaryThis paper surveys the fascinating mathematics of fair division, and provides a suite of examples using basic ideas from algebra, calculus, and probability which can be used to examine and test new and sometimes complex mathematical theories and claims involving fair division. Conversely, the classical cut-and-choose and moving-knife algorithms show it is often possible to express practical, yet clean, clear, and beautiful logical conclusions without using highly technical language.
Copyright The Mathematical Association of America