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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2000; 37(3): 473-490

Printed May 1, 2000

Copyright © The Korean Mathematical Society.

Consensus N-trees and removal independence

R.C. Powers

University of Louisville

Abstract

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Removal independence is a translation of Arrow's axiom of independence of irrelevant alternatives for social welfare functions to an axiom about consensus functions involving n-trees. It is shown that a consensus function is removal independent if and only if it is expressible as the union of three types of functions.

Keywords: consensus functions, n-trees, removal independence

MSC numbers: 91B14

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