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We study majority voting over a bidimensional policy space when the voters' type space is either uni-or bidimensional. We show that a Condorcet winner fails to generically exist even with a unidimensional type space. We then study two voting procedures widely used in the literature. The Stackelberg (ST) procedure assumes that votes are taken one dimension at a time according to an exogenously speci ed sequence. The Kramer-Shepsle (KS) procedure also assumes that votes are taken separately ondoi:10.1111/jpet.12001 fatcat:b2haxo22fnbafmsx6y5ieq3ury