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Cake-Cutting Algorithms: Be Fair if You Can
 
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Cake-Cutting Algorithms: Be Fair if You Can [Hardcover]

Jack Robertson (Author), William Webb (Author)
4.5 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

1568810768 978-1568810768 July 15, 1998 1

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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Editorial Reviews

Review

Cake-Cutting Algorithms will engage and challenge both veteran and novice mathematicians...
       -- Francis Edward Su, American Mathematical Monthly , March 2000

Product Details

  • Hardcover: 177 pages
  • Publisher: A K Peters/CRC Press; 1 edition (July 15, 1998)
  • Language: English
  • ISBN-10: 1568810768
  • ISBN-13: 978-1568810768
  • Product Dimensions: 9.2 x 6.3 x 0.8 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,027,116 in Books (See Top 100 in Books)

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4.5 out of 5 stars (2 customer reviews)
 
 
 
 
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4 of 6 people found the following review helpful:
5.0 out of 5 stars A good book, with clear explanations of content, June 1, 1999
By A Customer
This review is from: Cake-Cutting Algorithms: Be Fair if You Can (Hardcover)
This book starts with basic algorithms for dividing things among any number of people with explanations of why they work, then goes on to different topics such as the number of cuts required to divide things fairly. Includes algorithms for just being sure you get your fair share, algorithms that make sure that you are envy-free of what everyone else gets, and for when you have to divide up work that you don't want to do.
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2 of 3 people found the following review helpful:
4.0 out of 5 stars Very good with challenging problems, February 16, 2005
This review is from: Cake-Cutting Algorithms: Be Fair if You Can (Hardcover)
The book assumes no knowledge of advanced mathematics.Rather it teaches some of important concepts of number theory through simple problems like cake cutting,division of real estate etc.Book is very inreresting as it teaches important aspects in informal way rather than complex equations.
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