Many-valued judgment aggregation: characteriing the possibility/impossibility boundary for an important class of agendas
AbstractA general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model 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. For an important class of agendas, we identify a necessary and sufficient condition for judgment aggregation to be 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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Bibliographic InfoPaper provided by National University of Ireland Galway, Department of Economics in its series Working Papers with number 0154.
Length: 12 pages
Date of creation: 2009
Date of revision: 2009
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Judgement aggregation; many-valued logic; triangular norm; zero divisor Algorithmic Trading; MACD;
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- Mongin, Philippe & Dietrich, Franz, 2011. "An interpretive account of logical aggregation theory," Les Cahiers de Recherche 941, HEC Paris.
- Philippe Mongin, 2012.
"The doctrinal paradox, the discursive dilemma, and logical aggregation theory,"
Theory and Decision,
Springer, vol. 73(3), pages 315-355, September.
- Mongin, Philippe, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," MPRA Paper 37752, University Library of Munich, Germany.
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