An Impossibility Theorem for Gerrymandering
@article{Alexeev2018AnIT, title={An Impossibility Theorem for Gerrymandering}, author={Boris Alexeev and Dustin G. Mixon}, journal={The American Mathematical Monthly}, year={2018}, volume={125}, pages={878 - 884} }
Abstract In 2018, the U.S. Supreme Court considered a proposed mathematical formula to help detect unconstitutional partisan gerrymandering. We show that in some cases, this formula only flags bizarrely-shaped districts as potentially constitutional.
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References
SHOWING 1-10 OF 26 REFERENCES
The Third Criterion: Compactness as a Procedural Safeguard Against Partisan Gerrymandering
- Economics
- 1991
This paper addresses partisan gerrymandering and proposes a formal remedy. In addition to adhering to criteria which mandate that representational districts be composed of contiguous territories and…
A formula goes to court: Partisan gerrymandering and the efficiency gap
- Law
- 2017
Recently, a proposal has been advanced to detect unconstitutional partisan gerrymandering with a simple formula called the efficiency gap. The efficiency gap is now working its way towards a possible…
Partisan Gerrymandering and the Efficiency Gap
- History
- 2014
The usual legal story about partisan gerrymandering is relentlessly pessimistic. The courts did not even recognize the cause of action until the 1980s; they have never struck down a district plan on…
On Democracy's Doorstep: The Inside Story of How the Supreme Court Brought "One Person, One Vote" to the United States
- History, Law
- 2014
Today, Earl Warren is recalled as the chief justice of a Supreme Court that introduced school desegregation and other dramatic changes to American society. In retirement, however, Warren argued that…
A Difficulty in the Concept of Social Welfare
- EconomicsJournal of Political Economy
- 1950
IN A capitalist democracy there are essentially two methods by which social choices can be made: voting, typically used to make "political" decisions, and the market mechanism, typically used to make…
The isoperimetric inequality
- Mathematics
- 1978
where A is the area enclosed by a curve C of length L, and where equality holds if and only if C is a circle. The purpose of this paper is to recount some of the most interesting of the many…
Reapportionment and Redistricting in the West
- History
- 2011
Preface and Acknowledgments Chapter 1. An Overview of Redistricting by Tim Storey Chapter 2. Redistricting and the West: The Legal Context by Justin Levitt Chapter 3. Reapportionment and…
Where are the lines drawn? redistricting.lls.edu/where-state.php
- 2018