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Donald G. Saari

Decisions and Elections: Explaining the Unexpected

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ISBN: 0521004047, 9780521004046
Издательство: Cambridge University Press
This highly accessible book offers undergraduates and professionals 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. These include inter alia legislative cycles, supply and demand economics, statistical paradoxes, and diverse voting/election paradoxes.