Many-valued judgment aggregation: Characterizing the possibility/impossibility boundary
A model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives are a set of propositions, an entailment relation, and a “triangular norm” which establishes a lower bound on the degree to which a proposition is true whenever it is entailed by a set of propositions. Under standard assumptions, we identify a necessary and sufficient condition for the collective judgments to be both deductively closed and free from veto power. This condition says that the triangular norm used to establish the lower bound must contain a zero divisor.
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- Franz Dietrich, 2007.
"A generalised model of judgment aggregation,"
Social Choice and Welfare,
Springer, vol. 28(4), pages 529-565, June.
- 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.
- Mongin, Philippe, 2008.
"Factoring out the impossibility of logical aggregation,"
Journal of Economic Theory,
Elsevier, vol. 141(1), pages 100-113, July.
- Mongin, Philippe, 2006. "Factoring out the impossibility of logical aggregation," Les Cahiers de Recherche 854, HEC Paris.
- Philippe Mongin, 2005. "Factoring Out the Impossibility of Logical Aggregation," Working Papers hal-00243010, HAL.
- Wilson, Robert, 1975. "On the theory of aggregation," Journal of Economic Theory, Elsevier, vol. 10(1), pages 89-99, February.
- Dietrich Franz & List Christian, 2007.
"Judgment aggregation without full rationality,"
023, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Conal Duddy & Juan Perote-Pena & Asjley Piggins, 2009.
"Arrow's theorem and max-star transitivity,"
0140, National University of Ireland Galway, Department of Economics, revised 2009.
- List, Christian & Polak, Ben, 2010.
"Introduction to judgment aggregation,"
Journal of Economic Theory,
Elsevier, vol. 145(2), pages 441-466, March.
- Christian List & Ben Polak, 2010. "Introduction to Judgment Aggregation," Levine's Working Paper Archive 661465000000000006, David K. Levine.
- Christian List & Ben Polak, 2010. "Introduction to Judgment Aggregation," Cowles Foundation Discussion Papers 1753, Cowles Foundation for Research in Economics, Yale University.
- Franz Dietrich & Christian List, 2005.
"Arrow's Theorem in Judgement Aggregation,"
0504007, EconWPA, revised 10 Sep 2005.
- Franz Dietrich & Christian List, 2005. "Arrow’s theorem in judgment aggregation," Levine's Bibliography 784828000000000546, UCLA Department of Economics.
- Franz Dietrich & Christian List, 2005. "Arrow’s theorem in judgment aggregation," STICERD - Political Economy and Public Policy Paper Series 13, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Franz Dietrich & Christian List, 2005. "Arrow’s theorem in judgment aggregation," LSE Research Online Documents on Economics 19295, London School of Economics and Political Science, LSE Library.
- Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
- Martin Hees, 2007. "The limits of epistemic democracy," Social Choice and Welfare, Springer, vol. 28(4), pages 649-666, June.
- Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations," Journal of Economic Theory, Elsevier, vol. 145(2), pages 495-511, March.
- Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations with abstentions," Journal of Economic Theory, Elsevier, vol. 145(2), pages 544-561, March.
- Richard Barrett & Maurice Salles, 2006. "Social Choice With Fuzzy Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200615, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
- Nehring, Klaus & Puppe, Clemens, 2010. "Abstract Arrowian aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 467-494, March.
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