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Many-valued judgment aggregation: characteriing the possibility/impossibility boundary for an important class of agendas

Duddy, Conal
Piggins, Ashley
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2009-11
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Working Paper
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Duddy, C. P., Ashley (2009). "Many-valued judgment aggregation: characteriing the possibility/impossibility boundary for an important class of agendas" (No. 0154): School of Economics, National University of Ireland, Galway.
Abstract
A 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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National University of Ireland, Galway
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Attribution-NonCommercial-NoDerivs 3.0 Ireland