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A Chaotic Exploration of Aggregation Paradoxes
Donald G. Saari
Vol. 37, No. 1 (Mar., 1995), pp. 37-52
Published by: Society for Industrial and Applied Mathematics
Stable URL: http://www.jstor.org/stable/2132752
Page Count: 16
You can always find the topics here!Topics: Political candidates, Paradoxes, Aggregation, Plurality voting, Voting, Mathematical vectors, Mathematical procedures, Newtons method, Electoral systems, Symmetry
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Paradoxes from statistics and decision sciences form amusing, yet intriguing mathematical puzzles. On deeper examination, they constitute serious problems that could cause us, unintentionally, to adopt inferior alternatives. It is indicated here how ideas from "dynamical chaos" and orbits of symmetry groups can be modified and combined to create a mathematical theory to understand, classify, and find new properties of these puzzling phenomena.
SIAM Review © 1995 Society for Industrial and Applied Mathematics