Cutting Cakes Carefully

@article{Hill2010CuttingCC,
  title={Cutting Cakes Carefully},
  author={T. Hill and K. Morrison},
  journal={The College Mathematics Journal},
  year={2010},
  volume={41},
  pages={281 - 288}
}
  • T. Hill, K. Morrison
  • Published 2010
  • Mathematics
  • The College Mathematics Journal
  • Summary This 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. 
    Optimal Envy-Free Cake Cutting
    • 76
    • PDF
    Fair and Square: Cake-Cutting in Two Dimensions
    • 22
    • PDF
    N-Person Cake-Cutting: There May Be No Perfect Division
    • 20
    • Highly Influenced
    • PDF
    Envy-Free Cake-Cutting in Two Dimensions
    • 23
    • PDF
    Monotonicity and competitive equilibrium in cake-cutting
    • 16
    Continuity Assumptions in Cake-Cutting
    • 1
    • PDF
    Darboux property of the nonatomic σ-additive positive and finite dimensional vector measures
    • 1
    • PDF

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    Editor's note: More on cake cutting
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