Arrovian juntas

Michael Eisermann ()

MPRA Paper from University Library of Munich, Germany

Abstract: This article explicitly constructs and classifies all arrovian voting systems on three or more alternatives. If we demand orderings to be complete, we have, of course, Arrow's classical dictator theorem, and a closer look reveals the classification of all such voting systems as dictatorial hierarchies. If we leave the traditional realm of complete orderings, the picture changes. Here we consider the more general setting where alternatives may be incomparable, that is, we allow orderings that are reflexive and transitive but not necessarily complete. Instead of a dictator we exhibit a junta whose internal hierarchy or coalition structure can be surprisingly rich. We give an explicit description of all such voting systems, generalizing and unifying various previous results.

Keywords: rank aggregation problem; Arrow's impossibility theorem; classification of arrovian voting systems; partial ordering; partially ordered set; poset; dictator; oligarchy; junta (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2006-08, Revised 2006-10-03
New Economics Papers: this item is included in nep-cdm and nep-pol
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:81

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