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# Numbers Rule: The Vexing Mathematics of Democracy, from Plato to the Present

by

Since the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians.

*Numbers Rule*traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our ...more## Get A Copy

Hardcover, 226 pages

Published
April 1st 2010
by Princeton University Press
(first published March 1st 2010)

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**The Paradoxes of Democracy**

This is a book about the mathematics of elections and the implications of different methods towards fairness. The progression of topics is both historical and biographical. Szpiro begins with an interesting discussion of Plato and examines the principles and merits behind the scheme proposed by "The Athenian Stranger" (a stand-in for Plato himself) in "The Laws". The presentation here was much more interesting than what I recall being taught, however the scheme is ...more

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Given that individual members of society have their preferences, how should we aggregate them to figure out what society as a whole prefers?

How should we divide financial resources, pieces of cake, or congressional representation between people in a way that is as fair as possible?

These ...more

Lots of people have tried to answer these questions, and this book has an enjoyable and detailed account of their work and lives. Each chapter covers a key figure in the history of voting theory – such as Plato, Borda and Condorcet – and it does a good job of balancing the mathematics and the biography. I came away with a good sense of the ...more

**perdesse**un seggio. Ma ci sono molte ...more

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