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In the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs then we might want to find a compromise that lies somewhere between them. We propose a set of axioms that determine a measure of distance… (More)

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.… (More)

We characterize a rule for aggregating binary evaluations – equivalently , dichotomous weak orders – similar in spirit to the Borda rule from the preference aggregation literature. The binary evaluation framework was introduced as a general approach to aggregation by Wilson (J. Econ. Theory 10 (1975) 63-77). In this setting we characterize the " mean rule,… (More)

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