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We study ballot exhaustion in multiwinner single transferable vote (STV) elections using a dataset of 1,070 Scottish local government elections comprising over 5.4 million ballots. While ballot exhaustion has been studied extensively in…

General Economics · Economics 2026-05-14 David McCune , E. E. Naber

We show how to use automated computation of election margins to assess the number of votes that would need to change in order to alter a parliamentary outcome for single-member preferential electorates. In the context of increasing…

Data Structures and Algorithms · Computer Science 2017-08-02 Michelle Blom , Peter J. Stuckey , Vanessa Teague

The existing system for determining election results in Australia is, for the most part, secure, accurate and understandable by the average voter. This thesis explores the design of electronic voting systems designed to achieve these same…

Cryptography and Security · Computer Science 2018-05-08 Mark Eldridge

Ranked Choice Voting (RCV) and Single Transferable Voting (STV) are widely valued; but are complex to understand due to intricate per-round vote transfers. Questions like determining how far a candidate is from winning or identifying…

Computer Science and Game Theory · Computer Science 2024-07-22 Sanyukta Deshpande , Nikhil Garg , Sheldon Jacobson

For many voting rules, it is NP-hard to compute a successful manipulation. However, NP-hardness only bounds the worst-case complexity. Recent theoretical results suggest that manipulation may often be easy in practice. We study empirically…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

In many proportional parliamentary elections, electoral thresholds (typically 3-5%) are used to promote stability and governability by preventing the election of parties with very small representation. However, these thresholds often result…

Computer Science and Game Theory · Computer Science 2025-03-24 Théo Delemazure , Rupert Freeman , Jérôme Lang , Jean-François Laslier , Dominik Peters

After the 2016 double dissolution election, the 45th Australian Parliament was formed. At the time of its swearing in, the Senate of the 45th Australian Parliament consisted of nine political parties, the largest number in the history of…

Applications · Statistics 2019-01-16 Jessica J. Bagnall , Andrew T. Jones , Natalie Karavarsamis , Hien D. Nguyen

We re-examine the 2012 local government elections in New South Wales, Australia. The count was conducted electronically using a randomised form of the Single Transferable Vote (STV). It was already well known that randomness does make a…

Cryptography and Security · Computer Science 2016-11-08 Andrew Conway , Michelle Blom , Lee Naish , Vanessa Teague

The November 2014 Australian State of Victoria election was the first statutory political election worldwide at State level which deployed an end-to-end verifiable electronic voting system in polling places. This was the first time blind…

Cryptography and Security · Computer Science 2015-04-28 Craig Burton , Chris Culnane , Steve Schneider

In the world's largest-ever deployment of online voting, the iVote Internet voting system was trusted for the return of 280,000 ballots in the 2015 state election in New South Wales, Australia. During the election, we performed an…

Cryptography and Security · Computer Science 2015-06-08 J. Alex Halderman , Vanessa Teague

We investigate how robust the results of committee elections are to small changes in the input preference orders, depending on the voting rules used. We find that for typical rules the effect of making a single swap of adjacent candidates…

Computer Science and Game Theory · Computer Science 2019-07-24 Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Rolf Niedermeier , Piotr Skowron , Nimrod Talmon

We visualize aggregate outputs of popular multiwinner voting rules--SNTV, STV, Bloc, k-Borda, Monroe, Chamberlin--Courant, and HarmonicBorda--for elections generated according to the two-dimensional Euclidean model. We consider three…

Computer Science and Game Theory · Computer Science 2019-01-29 Edith Elkind , Piotr Faliszewski , Jean-Francois Laslier , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

Ranked voting systems, such as instant-runoff voting (IRV) and single transferable vote (STV), are used in many places around the world. They are more complex than plurality and scoring rules, presenting a challenge for auditing their…

Algorithms for resolving majority cycles in preference aggregation have been studied extensively in computational social choice. Several sophisticated cycle-resolving methods, including Tideman's Ranked Pairs, Schulze's Beat Path, and…

Computer Science and Game Theory · Computer Science 2025-12-30 Wesley H. Holliday , Milan Mossé , Chase Norman , Eric Pacuit , Cynthia Wang

Assessing and comparing the security level of different voting systems is non-trivial as the technical means provided for and societal assumptions made about various systems differ significantly. However, trust assumptions concerning the…

Cryptography and Security · Computer Science 2023-09-20 Kristjan Krips , Nikita Snetkov , Jelizaveta Vakarjuk , Jan Willemson

Instant-runoff voting (IRV) is used in several countries around the world. It requires voters to rank candidates in order of preference, and uses a counting algorithm that is more complex than systems such as first-past-the-post or scoring…

We propose a new single-winner election method ("Schulze method") and prove that it satisfies many academic criteria (e.g. monotonicity, reversal symmetry, resolvability, independence of clones, Condorcet criterion, k-consistency,…

Computer Science and Game Theory · Computer Science 2025-10-28 Markus Schulze

We propose a new single-winner voting system using ranked ballots: Stable Voting. The motivating principle of Stable Voting is that if a candidate A would win without another candidate B in the election, and A beats B in a head-to-head…

Theoretical Economics · Economics 2023-02-14 Wesley H. Holliday , Eric Pacuit

Plurality and approval voting are two well-known voting systems with different strengths and weaknesses. In this paper we consider a new voting system we call beta(k) which allows voters to select a single first-choice candidate and approve…

Theoretical Economics · Economics 2020-06-02 Peter Butler , Jerry Lin

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

Computer Science and Game Theory · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz