David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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I 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 indi¤erences unlike in earlier generalisations.
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Richard Booth & Thomas Meyer (2010). Equilibria in Social Belief Removal. Synthese 177 (1):97 - 123.
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