Abstract:
Generalized median voter (GMV) rules on the single-peaked preference
domain are group strategy-proof. We show that if incomplete information
coexists with the ability to commit to coalitional agreements, then GMV
rules can be susceptible to insincere voting by groups with
heterogeneous beliefs. We identify strategic compromise as a novel
source of insincere voting in this environment. Our two main results
characterize the set of fair, efficient, and robust voting rules: those
that ensure sincere voting under asymmetric information and coalition
formation. Each result uses a different notion of robustness, and both
give (at most) two alternatives special treatment, with the remaining
alternatives chosen according to a type of consensus.
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