Decisions and Elections
Explaining the Unexpected
By (author) Donald G. Saari
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Decisions and Elections by Donald G. Saari
Book DescriptionIt is not uncommon to be frustrated by the outcome of an election or a decision in voting, law, economics, engineering, and other fields. Does this 'bad' result reflect poor data or poorly informed voters? Or does the disturbing conclusion reflect the choice of the decision/election procedure? Nobel Laureate Kenneth Arrow's famed theorem has been interpreted to mean 'no decision procedure is without flaws'. Similarly, Nobel Laureate Amartya Sen dashes hope for individual liberties by showing their incompatibility with societal needs. This highly accessible book offers a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions. Once this is understood, not only do the conclusions become expected, but a wide class of other phenomena can also be anticipated.
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Book DetailsISBN: 9780521004046
(228mm x 152mm x 17mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Oct-2001
Country of Publication: United Kingdom
Books By Author Donald G. Saari
Disposing Dictators, Demystifying Voting Paradoxes, Hardback (August 2008)
This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified.
Decisions and Elections, Hardback (October 2001)» View all books by Donald G. Saari
A highly accessible book offering a new interpretation and resolution of Arrow's and Sen's theorems.
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