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

Conal Duddy () and Ashley Piggins ()

No 154, Working Papers from National University of Ireland Galway, Department of Economics

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.

Keywords: Judgement aggregation; many-valued logic; triangular norm; zero divisor Algorithmic Trading; MACD (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2009, Revised 2009
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