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A Chaotic Exploration of Aggregation Paradoxes

Donald G. Saari
SIAM Review
Vol. 37, No. 1 (Mar., 1995), pp. 37-52
Stable URL: http://www.jstor.org/stable/2132752
Page Count: 16
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A Chaotic Exploration of Aggregation Paradoxes
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Abstract

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.

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