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Gerrymandering is the perversion of an election based on manipulation of voting district boundaries, and has been a historically important yet difficult task to analytically prove. We propose a Markov Chain Monte Carlo with Simulated…

Applications · Statistics 2022-09-02 Stuart Wayland

Manipulation is a problem of fundamental importance in the context of voting in which the voters exercise their votes strategically instead of voting honestly to prevent selection of an alternative that is less preferred. The…

Multiagent Systems · Computer Science 2015-02-17 Palash Dey , Neeldhara Misra , Y. Narahari

Strategic manipulation of elections is typically studied in the context of promoting individual candidates. In parliamentary elections, however, the focus shifts: voters may care more about the overall governing coalition than the…

Computer Science and Game Theory · Computer Science 2026-01-13 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

The American winner-take-all congressional district system empowers politicians to engineer electoral outcomes by manipulating district boundaries. Existing computational solutions mostly focus on drawing unbiased maps by ignoring political…

Computers and Society · Computer Science 2021-06-29 Wes Gurnee , David B. Shmoys

In parliamentary elections, parties compete for a limited, typically fixed number of seats. Most parliaments are assembled using apportionment methods that distribute the seats based on the parties' vote counts. Common apportionment methods…

We initiate the study of bribery problem in the context of gerrymandering and reverse gerrymandering. In our most general problem, the input is a set of voters having votes over a set of alternatives, a graph on the voters, a partition of…

Computer Science and Game Theory · Computer Science 2019-09-05 Palash Dey

Why not have a computer just draw a map? This is something you hear a lot when people talk about gerrymandering, and it's easy to think at first that this could solve redistricting altogether. But there are more than a couple problems with…

Data Structures and Algorithms · Computer Science 2020-11-20 Amariah Becker , Justin Solomon

This paper is to obtain a simple dividing-diagram of the congressional districts, where the only limit is that each district should contain the same population if possibly. In order to solve this problem, we introduce three different…

Computers and Society · Computer Science 2007-08-17 Pan Kai , Tan Yue , Jiang Sheng

Gerrymandering is a long-standing issue within the U.S. political system, and it has received scrutiny recently by the U.S. Supreme Court. In this note, we prove that deciding whether there exists a fair redistricting among legal maps is…

Computational Complexity · Computer Science 2018-08-28 Richard Kueng , Dustin G. Mixon , Soledad Villar

Inverse optimization has received much attention in recent years, but little literature exists for solving generalized mixed integer inverse optimization. We propose a new approach for solving generalized mixed-integer inverse optimization…

Optimization and Control · Mathematics 2024-06-17 Ari J. Smith , Justin J. Boutilier

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

Artificial Intelligence · Computer Science 2012-04-20 Andrew Lin

We study the problem of a partisan gerrymanderer who assigns voters to equipopulous districts so as to maximize his party's expected seat share. The designer faces both aggregate uncertainty (how many votes his party will receive) and…

Theoretical Economics · Economics 2023-04-20 Anton Kolotilin , Alexander Wolitzky

In the United States, regions are frequently divided into districts for the purpose of electing representatives. How the districts are drawn can affect who's elected, and drawing districts to give an advantage to a certain group is known as…

Discrete Mathematics · Computer Science 2023-12-21 Sarah Cannon

We study the problem of coalitional manipulation---where $k$ manipulators try to manipulate an election on $m$ candidates---under general scoring rules, with a focus on the Borda protocol. We do so both in the weighted and unweighted…

Data Structures and Algorithms · Computer Science 2017-08-17 Orgad Keller , Avinatan Hassidim , Noam Hazon

We consider the problem of protecting and manipulating elections by recounting and changing ballots, respectively. Our setting involves a plurality-based election held across multiple districts, and the problem formulations are based on the…

Computer Science and Game Theory · Computer Science 2020-11-24 Kishen N. Gowda , Neeldhara Misra , Vraj Patel

We propose three novel gerrymandering algorithms which incorporate the spatial distribution of voters with the aim of constructing gerrymandered, equal-population, connected districts. Moreover, we develop lattice models of voter…

Physics and Society · Physics 2021-07-01 Kyle Gatesman , James Unwin

Most work on manipulation assumes that all preferences are known to the manipulators. However, in many settings elections are open and sequential, and manipulators may know the already cast votes but may not know the future votes. We…

Computer Science and Game Theory · Computer Science 2013-10-28 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

In the computational social choice literature, there has been great interest in understanding how computational complexity can act as a barrier against manipulation of elections. Much of this literature, however, makes the assumption that…

Computer Science and Game Theory · Computer Science 2015-07-27 Vijay Menon , Kate Larson

Most theoretical definitions about the complexity of manipulating elections focus on the decision problem of recognizing which instances can be successfully manipulated, rather than the search problem of finding the successful manipulative…

Computer Science and Game Theory · Computer Science 2015-03-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Curtis Menton

Most work on manipulation assumes that all preferences are known to the manipulators. However, in many settings elections are open and sequential, and manipulators may know the already cast votes but may not know the future votes. We…

Computer Science and Game Theory · Computer Science 2015-03-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe