Mdr

From part (b), for any alternative y, B{x*,y) is a half-space. Furthermore, because x* is the single most preferred alternative of the median agent we

must have that ß € B(x,yh Since ß is a median agent, and giß ) > 0, then the mass of agents in the region £(x*,y) is greater than hence, x* defeats y.

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