Decision framing in judgment aggregation |
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Authors: | Fabrizio Cariani Marc Pauly Josh Snyder |
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Institution: | (1) Department of Philosophy, University of California, Berkeley, 314 Moses Hall, Berkeley, CA 94270-2390, USA;(2) Stanford University, Stanford, CA, USA |
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Abstract: | 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. |
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Keywords: | Social choice theory Judgment aggregation Translation Language dependence |
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