Theory: This project uses mathematical logic and results from spatial models to explain how parties in a legislature elected under a multi-member district system will differ from those elected under single-member plurality, holding all else constant. Hypothesis: Under most circumstances, parties elected under multi-member districts will be more ideologically diverse than those elected under single-member plurality, all else being equal. Methods: The above hypothesis is tested using interest group ratings for members of the Illinois General Assembly, a legislative body that has used both singlemember and multi-member systems to elect its members. Results: During the time when the Illinois House was elected by multi-member districts and the Senate was elected by single-member districts, parties in the House were consistently more ideologically diverse than their counterparts in the Senate. This difference disappears after the House adopts a single-member district system.
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Greg D. Adams (1996) studied this question.
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