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Fair Representation: Meeting the Ideal of One Man, One Vote Paperback – September 1, 2001

by Michel L. Balinski (Author), H. Peyton Young (Author)
4 out of 5 stars 3 customer reviews
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Product Details

  • Paperback: 195 pages
  • Publisher: Brookings Institution Press; second edition edition (September 1, 2001)
  • Language: English
  • ISBN-10: 081570111X
  • ISBN-13: 978-0815701118
  • Product Dimensions: 6 x 0.5 x 9 inches
  • Shipping Weight: 10.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #2,089,625 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

2 of 2 people found the following review helpful
A must for everyone who belive in democraty
By Yvan Dutil on August 20, 2002
Format: Paperback
This book covers in detail the problem of aproportionnement from an historical and a mathematical point of view. The maths are simple and the historical reasearch is complete.
However, it might be to concentrated on the US congress apointement problem. Some international perspective would have been appreciated.
Anyway, it is still the best reference on this topic.
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The early constitutional mathematical quagmire was useful in understanding Frankfurter's cautions in his dissent in Reynolds ...
By David Litsey on June 3, 2015
Format: Paperback Verified Purchase
The early constitutional mathematical quagmire was useful in understanding Frankfurter's cautions in his dissent in Reynolds v. Sims, but the mathematical part of the new theory left me a little doubtful. I was not able to fully embrace the author's outcome but it may have been my fault not his.
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1 of 2 people found the following review helpful
Limited to Apportionment in the USA
By David Huntley on May 9, 2010
Format: Paperback
The title of this book is a little misleading. The book is not about proportional representation as generally understood. This book is really about how to decide the number of representatives each state of the USA should have in its House of Representatives. Ideally each state should have the same number of representatives per million people, but this is impossible to achieve exactly. Suppose you set a quota of one representative per 30,000 voters and find that a particular state should then get 1.6 representatives, should the state get 1 or 2? The politicians's answer, it seems, depends on whether or not he or she lives in the state and whether or not his or her political leanings are those of the state. This has led to all kinds of wrangling by the politicians over the years over what seem a relatively minor issue. So what recipe should one use to determine the number? This book describes in detail the recipes that have been advanced and those used over the years.

There are paradoxes. For example, depending on the recipe used, if an extra state is added and extra representatives are added for it, another state may find it has one fewer representative and another state one more. Or, depending on the recipe used, a state could encourage emigration and thereby increase its number of representatives!

It all comes down to what criterion one uses to minimize the inequality. What is fair? In the early 1920s Edward Huntingdon, professor of mechanics and mathematics at Harvard University, showed that depending on how this inequality is measured, exactly five methods result, and no others.

The paradoxes can be avoided by using one of the divisor methods; two more criteria lead to the deduction that the fairest system is that of Webster, known elsewhere as Sainte-Laguë.Read more ›
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