Presented By: Industrial & Operations Engineering
IOE 899: Oğuzhan Çelebi
“Representation in District Based Elections”
District-based elections must reconcile two objectives: representing each district’s electorate and matching the statewide delegation to political support. We study seat allocation rules when these objectives conflict.The optimal rules, characterized by a cutoff, form a family ranging from first-past-the-post to proportional representation as the weight on statewide representation increases. Along this path, gaining further seats through gerrymandering becomes increasingly difficult. The characterization yields a measure of the robustness of first-past-the-post to statewide representation concerns, which we compare with established electoral diagnostics. In U.S. House elections from 2002 to 2024, we find that maps drawn by single-party legislatures perform worse than those produced by other institutions, and Republican-legislature maps fare worse than Democratic-legislature maps. The efficiency gap, a common partisan-gerrymandering measure, is more strongly associated with litigated maps than the other measures, yet it considerably amplifies the Republican-Democratic asymmetry.