Pivato, Marcus and Nehring, Klaus (2010): Incoherent majorities: the McGarvey problem in judgement aggregation.
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`Judgement aggregation' is a model of social choice where the space of social alternatives is the set of consistent truth-valuations (`judgements') on a family of logically interconnected propositions. It is well-known that propositionwise majority voting can yield logically inconsistent judgements. We show that, for a variety of spaces, propositionwise majority voting can yield any possible judgement. By considering the geometry of sub-polytopes of the Hamming cube, we also estimate the number of voters required to achieve all possible judgements. These results generalize the classic results of McGarvey (1953) and Stearns (1959).
|Item Type:||MPRA Paper|
|Original Title:||Incoherent majorities: the McGarvey problem in judgement aggregation|
|Keywords:||judgement aggregation; majority vote; McGarvey; Stearns; 0/1 polytope; Hamming cube;|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General|
|Depositing User:||Marcus Pivato|
|Date Deposited:||15. Nov 2010 19:55|
|Last Modified:||13. Feb 2013 04:12|
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The McGarvey problem in judgement aggregation. (deposited 11. May 2010 10:40)
- Incoherent majorities: the McGarvey problem in judgement aggregation. (deposited 15. Nov 2010 19:55) [Currently Displayed]