Judgment aggregation in search for the truth: the case of interconnections

This paper analyses the problem of aggregating judgments when strategic voters hold privateinformation about which propositions are true and share a common preference for true collectivejudgments. We go beyond previous work by introducing logical interconnections between thepropositions. A voter''s private information can be inconclusive. The goal is to determine thevoting rules which lead to collective judgments that efficiently incorporate all privateinformation. We characterize the (rare) situations in which such rules exist, as well as thenature of these rules.