Dietrich, Franz (2006): Aggregation theory and the relevance of some issues to others.
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Abstract
I propose a new axiom on the aggregation of individual yes/no judgments on propositions into collective judgments: each collective judgment depends only on people's judgments on 'relevant' propositions. This contrasts with classical independence: each collective judgment depends only on people's judgments on the 'current' proposition. I generalize the premise-based and sequential-priority rules to an arbitrary priority structure over propositions, instead of a dichotomous premise/conclusion structure or a linear order of priority. I prove four impossibility theorems on relevance-based aggregation. One theorem simultaneously generalizes Arrow's Theorem (in its general and indifference-free versions) and the Arrow-type theorem in judgment aggregation.
Item Type: | MPRA Paper |
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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, premise-based rule, sequential priority rule, general priority rule, priority graph, aggregation of non-binary evaluations |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 58870 |
Depositing User: | Franz Dietrich |
Date Deposited: | 25 Sep 2014 17:09 |
Last Modified: | 10 Oct 2019 12:28 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/58870 |
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