# Fair Majority Voting (or How to Eliminate Gerrymandering)

@article{Balinski2008FairMV, title={Fair Majority Voting (or How to Eliminate Gerrymandering)}, author={Michel Balinski}, journal={The American Mathematical Monthly}, year={2008}, volume={115}, pages={113 - 97} }

1. THE PROBLEM. Something is rotten in the electoral state of the United States. Mathematics is involved. Advances in computer technology—hardware and software— have permitted a great leap “forward” in the fine art of political gerrymandering—“the practice of dividing a geographical area into electoral districts, often of highly irregular shape, to give one political party an unfair advantage by diluting the opposition’s voting strength” (according to Black’s Law Dictionary). It is generally… Expand

#### Topics from this paper

#### 25 Citations

Electoral Inequity

- 2020

Ideally, a representative democracy awards a genuine vote to each adult. We study whether this applies in competitive democracies with an election model combining district appor- tionment and… Expand

Matrices and politics

- 2006

Biproportional apportionment methods provide a novel approach of translating electoral votes into parliamentary seats. A two-way proportionality is achieved, to districts relative to their… Expand

A fair division solution to the problem of redistricting

- Economics, Computer Science
- Soc. Choice Welf.
- 2009

This work introduces a novel solution to the problem of fairly redistricting a state that is motivated by the ideas of fair division by creating a simple interactive protocol that presents two parties with the opportunity to achieve their fair representation in a state and as a result a balanced electoral map is created. Expand

Control Complexity in Bucklin and Fallback Voting

- Computer Science, Mathematics
- ArXiv
- 2011

It is shown that fallback voting, an election system proposed by Brams and Sanver to combine Bucklin with approval voting, is resistant to each of the common types of control except to destructive control by either adding or deleting voters. Expand

A Cut-And-Choose Mechanism to Prevent Gerrymandering

- Mathematics, Computer Science
- ArXiv
- 2018

This paper presents a novel mechanism to endogenously determine the fair division of a state into electoral districts in a two-party setting that always yield fair outcomes, up to integer rounding. Expand

A modified "winner-take-all" rule for awarding state electoral votes in US presidential elections and a game model for its analysis

- Computer Science, Economics
- Math. Comput. Model.
- 2008

A model for estimating the chances of a candidate to win state electoral votes in presidential elections with two major party candidates under the modified ''winner-take-all'' rule is proposed and has the form of a two-person game on a polyhedral set of connected strategies. Expand

Control complexity in Bucklin and fallback voting: A theoretical analysis

- Computer Science
- J. Comput. Syst. Sci.
- 2015

It is shown that fallback voting, an election system proposed by Brams and Sanver to combine Bucklin with approval voting, displays the broadest control resistance currently known to hold among natural election systems with a polynomial-time winner problem. Expand

Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study

- Mathematics, Computer Science
- Manag. Sci.
- 2010

This work evaluates the general quality of divisor-based biproportional apportionment with respect to deviation from quota, reversal orderings, and occurrences of ties in electoral systems where the electoral region is subdivided into electoral districts. Expand

IMPORTING MMP TO THE U.S.: POSSIBILITIES AND CHOICES

- 2014

Since its adoption by New Zealand more than two decades ago, mixedmember proportional (MMP) has become a favorite of both academics and reformers. In surveys, a majority of election-systems experts… Expand

Network models and biproportional rounding for fair seat allocations in the UK elections

- Economics, Computer Science
- Ann. Oper. Res.
- 2017

This work introduces a parameter based family of methods, which it calls balanced majority voting, that can be tuned to meet the public’s demand for local and global “fairness”. Expand

#### References

SHOWING 1-10 OF 14 REFERENCES

Fair Representation: Meeting the Ideal of One Man

- Economics, Computer Science
- 1982

A theory of fair representation is developed that concludes that the current apportionment formula cheats the larger states in favor of the smaller, contrary to the intentions of the founding fathers and compromising the Supreme Court's ""one man, one vote"" rulings. Expand

Mexican Electoral Law: 1996 Version

- Political Science
- 1997

Abstract The Mexican electoral law of 1996, though less anfractuous than its predecessors, is again inconsistent: it may well be impossible to satisfy its clauses. The basic intents of the pertinent… Expand

Mexico's 1997 apportionment defies its electoral law

- Political Science
- 1999

Abstract Mexico's ultimate electoral reform, adopted in November 1996, was the law of the land for the July 1997 elections. Regrettably, its terms could not be met. This paper explains why, what was… Expand

An Axiomatic Approach to Proportionality Between Matrices

- Mathematics, Computer Science
- Math. Oper. Res.
- 1989

An axiomatic solution to the question of what does it mean to say that a matrix f (of the same dimension), whose row and column sums must fall between specific limits, is "proportional to" p is given. Expand

What Is Just?

- Philosophy, Computer Science
- Am. Math. Mon.
- 2005

It is my belief that the authors' collective acceptance of proportionality as the ultimate measure of justice is due to a more fundamental concept that lurks in the background, but whose implications are rich for their understanding of what is equitable: I call it coherence. Expand

Algorithms for proportional matrices in reals and integers

- Mathematics, Computer Science
- Math. Program.
- 1989

Closely related axiomatic approaches have been developed to ascribe meanings to the statements: the real matrixf and the integer matrixa are “proportional to” a given matrixp ≥ 0. Expand

Matrices and politics, in Festschrift for

- University of Tampere,
- 2006

Le suffrage universel inachevé, ´ Editions Belin, Paris, 2004. 2. , What is just? this

- MONTHLY
- 2005

Das neue Zürcher Zuteilungsverfahren für Parlamentswahlen

- Aktuelle Juristische Praxis
- 2004

Methods of rounding, Math

- Sci. 22
- 1997