Abstract
We reassess the possibility of full information pooling in a Condorcet jury environment featuring heterogeneous and privately known preference types. We find that in general, with uncorrelated preference types, only very limited heterogeneity is compatible with full pooling. We provide a sufficient condition, based on a simple measure of preference misalignment, under which the set of voting rules compatible with full pooling is at most a singleton. As a caveat to any simplistic conclusions, we identify a case in which an increase in heterogeneity (i.e. polarization) systematically generates the possibility of full pooling. Increased jury size, in contrast, is shown to always render full pooling more difficult.
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Thordal-Le Quement, M. Communication compatible voting rules. Theory Decis 74, 479–507 (2013). https://doi.org/10.1007/s11238-012-9329-0
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DOI: https://doi.org/10.1007/s11238-012-9329-0