Theory: This project uses mathematical logic and results from spatial
models to explain how parties in a legislature elected under a multi-m
ember district system will differ from those elected under single-memb
er plurality, holding all else constant. Hypothesis: Under most circum
stances, parties elected under multi-member districts will be more ide
ologically diverse than those elected under single-member plurality, a
ll else being equal. Methods: The above hypothesis is tested using int
erest group ratings for members of the Illinois General Assembly, a le
gislative body that has used both single-member and multi-member syste
ms to elect its members. Results: During the time when the Illinois Ho
use was elected by multi-member districts and the Senate was elected b
y single-member districts, parties in the House were consistently more
ideologically diverse than their counterparts in the Senate. This dif
ference disappears after the House adopts a single-member district sys
tem.