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Cake-Cutting Algorithms

Jack Robertson | William Webb
€235.60
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A01=Jack Robertson
A01=William Webb
acceptable
Acceptable Piece
advanced fair division algorithms
algorithmic fairness
AUB
Author_Jack Robertson
Author_William Webb
Category=PBH
Category=PBV
Category=PBW
combinatorial mathematics
Complementary Portion
Cumulative Distribution Function
division
Envy Free
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equal
Equal Pieces
exact
Exact Division
fair
Fair Division
finite
Finite Algorithm
game theory applications
Hall's Theorem
knife
mathematical optimization
Measure Theoretic Setting
moving
Moving Knife
Non-terminating Vertex
P3 Share
Pareto Optimal
pieces
Pieces X1
Pl P2
Player P2
Player Pi
players
Preferred Piece
resource allocation methods
Simple Fair
social choice theory
Unclaimed Piece
Unequal Shares
Vice Versa
White Cake

Product details

  • ISBN 9781568810768
  • Weight: 498g
  • Dimensions: 152 x 229mm
  • Publication Date: 15 Jul 1998
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Description

The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized.

This book gathers into one readable and inclusive source a comprehensive discussion of the state of the art in cake-cutting problems for both the novice and the professional. It offers a complete treatment of all cake-cutting algorithms under all the considered definitions of "fair" and presents them in a coherent, reader-friendly manner. Robertson and Webb have brought this elegant problem to life for both the bright high school student and the professional researcher.

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