A characterization of the single-peaked single-crossing domain
研究了同时满足单峰性和单交叉性的选举域,通过建立与最小丰富选举域的联系,给出了该域的刻画条件。
Abstract We characterize elections that are simultaneously single-peaked and single-crossing (SPSC), by establishing a connection between this domain and that of minimally rich elections, i.e., elections where each candidate is ranked first by at least one voter. Specifically, we show that an election is both single-peaked and single-crossing if and only if it can be obtained from a minimally rich single-crossing election by deleting voters.