A simple ultrafilter proof for an impossibility theorem in judgment aggregation
We show how ultrafilters can be used to prove a central impossibility result in judgement aggregation introduced by Nehring and Puppe (2005), namely that for a logically strongly interconnected agenda, an independent and monotonic judgement aggregation rule which satisfies universal domain, collective rationality and sovereignty is necessarily dictatorial.
Volume (Year): 29 (2009)
Issue (Month): 1 ()
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- Philippe Mongin, 2011.
- Franz Dietrich, 2005.
"Judgment aggregation in general logics,"
- Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
- Maurice Salles, 2005. "Social Choice," Post-Print halshs-00337075, HAL.
- Herzberg, Frederik, 2011.
"Judgment aggregation functions and ultraproducts,"
Center for Mathematical Economics Working Papers
405, Center for Mathematical Economics, Bielefeld University.
- List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
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