David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Several recent results on the aggregation of judgments over logically connected propositions show that, under certain conditions, dictatorships are the only propositionwise aggregation functions generating fully rational (i.e., complete and consistent) collective judgments. A frequently mentioned route to avoid dictatorships is to allow incomplete collective judgments. We show that this route does not lead very far: we obtain oligarchies rather than dictatorships if instead of full rationality we merely require that collective judgments be deductively closed, arguably a minimal condition of rationality, compatible even with empty judgment sets. We derive several characterizations of oligarchies and provide illustrative applications to Arrowian preference aggregation and Kasher and Rubinstein’s group identi…cation problem.
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Citations of this work BETA
Philippe Mongin (2012). The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation Theory. Theory and Decision 73 (3):315-355.
Jake Chandler (2013). Acceptance, Aggregation and Scoring Rules. Erkenntnis 78 (1):201 - 217.
Fabrizio Cariani (2011). Judgment Aggregation. Philosophy Compass 6 (1):22-32.
Franz Dietrich (2010). The Impossibility of Unbiased Judgment Aggregation. Theory and Decision 68 (3):281-299.
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