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
Aggregating Sets of Judgments: An Impossibility Result.Christian List & Philip Pettit - 2002 - Economics and Philosophy 18 (1):89-110.
Aggregating Sets of Judgments: Two Impossibility Results Compared.Christian List & Philip Pettit - 2004 - Synthese 140 (1-2):207 - 235.
Popper's Qualitative Theory of Verisimilitude.David Miller - 1974 - British Journal for the Philosophy of Science 25 (2):166-177.
Citations of this work BETA
The Doctrinal Paradox, the Discursive Dilemma, and Logical Aggregation Theory.Philippe Mongin - 2012 - Theory and Decision 73 (3):315-355.
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