Implementing Partisan Symmetry: Problems and Paradoxes

We consider the measures of partisan symmetry proposed for practical use in the political science literature, as clarified and developed in Katz, King, and Rosenblatt (2020, American Political Science Review 114, 164–178). Elementary mathematical manipulation shows the symmetry metrics to have surpr...

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Bibliographic Details
Published in:Political analysis 2023-07, Vol.31 (3), p.305-324
Main Authors: DeFord, Daryl, Dhamankar, Natasha, Duchin, Moon, Gupta, Varun, McPike, Mackenzie, Schoenbach, Gabe, Sim, Ki Wan
Format: Article
Language:English
Subjects:
Manipulation
Partisanship
Political science
Property
Redistricting
Symmetry
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Summary:We consider the measures of partisan symmetry proposed for practical use in the political science literature, as clarified and developed in Katz, King, and Rosenblatt (2020, American Political Science Review 114, 164–178). Elementary mathematical manipulation shows the symmetry metrics to have surprising properties that call their meaningfulness into question. To accompany the general analysis, we study measures of partisan symmetry with respect to recent voting patterns in Utah, Texas, and North Carolina, flagging problems in each case. Taken together, these observations should raise major concerns about the available techniques for quantitative scores of partisan symmetry—including the mean–median score, the partisan bias score, and the more general “partisan symmetry standard”—with the decennial redistricting underway.
ISSN:1047-1987
1476-4989
DOI:10.1017/pan.2021.49