A Representation Theorem For Voting With Logical Consequences
AbstractThis paper concerns voting with logical consequences, which means that anybody voting for an alternative x should vote for the logical consequences of x as well. Similarly, the social choice set is also supposed to be closed under logical consequences. The central result of the paper is that, given a set of fairly natural conditions, the only social choice functions that satisfy social logical closure are oligarchic (where a subset of the voters are decisive for the social choice). The set of conditions needed for the proof include a version of Independence of Irrelevant Alternatives that also plays a central role in Arrow s impossibility theorem.
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Bibliographic InfoArticle provided by Cambridge University Press in its journal Economics and Philosophy.
Volume (Year): 22 (2006)
Issue (Month): 02 (July)
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- Herzberg, Frederik S., 2008.
"Judgement aggregation functions and ultraproducts,"
10546, University Library of Munich, Germany, revised 10 Sep 2008.
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