Dietrich, Franz (2006): Aggregation theory and the relevance of some issues to others. Forthcoming in: Journal of Economic Theory
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Abstract
I propose a relevancebased independence axiom on how to aggregate individual yes/no judgments on given propositions into collective judgments: the collective judgment on a proposition depends only on people's judgments on propositions which are relevant to that proposition. This axiom contrasts with the classical independence axiom: the collective judgment on a proposition depends only on people's judgments on the same proposition. I generalize the premisebased rule and the sequentialpriority rule to an arbitrary priority order of the propositions, instead of a dichotomous premise/conclusion order resp. a linear priority order. I prove four impossibility theorems on relevancebased aggregation. One theorem simultaneously generalizes Arrow's Theorem (in its general and indifferencefree versions) and the wellknown Arrowlike theorem in judgment aggregation.
Item Type:  MPRA Paper 

Original Title:  Aggregation theory and the relevance of some issues to others 
Language:  English 
Keywords:  judgment aggregation, relevance connections vs. logical connections between issues, generalized Arrow theorem, generalized premisebased rule, sequential priority rule, general priority rule, priority graph, aggregation of nonbinary evaluations 
Subjects:  D  Microeconomics > D7  Analysis of Collective DecisionMaking > D70  General D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice ; Clubs ; Committees ; Associations 
Item ID:  63250 
Depositing User:  Franz Dietrich 
Date Deposited:  26 Mar 2015 19:32 
Last Modified:  27 Oct 2016 00:41 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/63250 
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Aggregation theory and the relevance of some issues to others. (deposited 25 Sep 2014 17:09)
 Aggregation theory and the relevance of some issues to others. (deposited 26 Mar 2015 19:32) [Currently Displayed]