Aggregation theory and the relevance of some issues to others
AbstractI propose a general collective decision problem consisting in many issues that are interconnected in two ways: by mutual constraints and by connections of relevance. Aggregate decisions should respect the mutual constraints, and be based on relevant information only. This general informational constraint has many special cases, including premise-basedness and Arrow''s independence condition; they result from special notions of relevance. The existence and nature of (non-degenerate) aggregation rules depends on both types of connections. One result, if applied to the preference aggregation problem and adopting Arrow''s notion of (ir)relevance, becomes Arrow''s Theorem, without excluding indifferences unlike in earlier generalisations.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 024.
Date of creation: 2007
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- Dietrich, Franz, 2007. "Aggregation and the relevance of some issues for others," Research Memoranda 002, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
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- Franz Dietrich & Christian List, 2004.
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- Dietrich, Franz & List, Christian, 2008. "The aggregation of propositional attitudes: towards a general theory," Research Memoranda 047, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
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