David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Synthese 163 (1):1 - 24 (2008)
Judgment aggregation problems are language dependent in that they may be framed in different yet equivalent ways. We formalize this dependence via the notion of translation invariance, adopted from the philosophy of science, and we argue for the normative desirability of translation invariance. We characterize the class of translation invariant aggregation functions in the canonical judgment aggregation model, which requires collective judgments to be complete. Since there are reasonable translation invariant aggregation functions, our result can be viewed as a possibility theorem. At the same time, we show that translation invariance does have certain normatively undesirable consequences (e.g. failure of anonymity). We present a way of circumventing them by moving to a more general model of judgment aggregation, one that allows for incomplete collective judgments.
|Keywords||Social choice theory Judgment aggregation Translation Language dependence|
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References found in this work BETA
Luc Bovens & Wlodek Rabinowicz (2006). Democratic Answers to Complex Questions – an Epistemic Perspective. Synthese 150 (1):131-153.
Robert E. Goodin & Christian List (2006). A Conditional Defense of Plurality Rule: Generalizing May's Theorem in a Restricted Informational Environment. American Journal of Political Science 50 (4):940-949.
Christian List (2005). Group Knowledge and Group Rationality: A Judgment Aggregation Perspective. Episteme 2 (1):25-38.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1-2):207 - 235.
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.
Fabrizio Cariani (2013). Aggregating with Reason(S). Synthese 190 (15):3123-3147.
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