An impossibility theorem for gerrymandering

TL;DR

This paper demonstrates that a proposed mathematical formula for detecting partisan gerrymandering can produce false positives by flagging irregular districts as constitutional, highlighting limitations in current detection methods.

Contribution

The paper introduces an impossibility theorem showing fundamental limitations of certain mathematical formulas in accurately identifying gerrymandering.

Findings

The formula can incorrectly classify bizarre districts as constitutional.

There are inherent limitations in mathematical detection methods for gerrymandering.

The results suggest need for improved or alternative detection approaches.

Abstract

The U.S. Supreme Court is currently deliberating over whether a proposed mathematical formula should be used to detect unconstitutional partisan gerrymandering. We show that in some cases, this formula will only flag bizarrely shaped districts as potentially constitutional.