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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

We describe the vote package in R, which implements the plurality (or first-past-the-post), two-round runoff, score, approval and single transferable vote (STV) electoral systems, as well as methods for selecting the Condorcet winner and…

Computation · Statistics 2021-02-12 Adrian E. Raftery , Hana Ševčíková , Bernard W. Silverman

Single Transferable Vote (STV) counting, used in several jurisdictions in Australia, is a system for choosing multiple election winners given voters' preferences over candidates. There are a variety of different versions of STV legislated…

Computers and Society · Computer Science 2024-09-19 Andrew Conway , Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa J. Teague , Damjan Vukcevic

The Single Transferable Vote (STV) is a system of preferential voting employed in multi-seat elections. Each vote cast by a voter is a (potentially partial) ranking over a set of candidates. No techniques currently exist for computing the…

Computer Science and Game Theory · Computer Science 2017-08-17 Michelle Blom , Peter J. Stuckey , Vanessa J. Teague

Single Transferable Vote (STV) counting, used in several jurisdictions in Australia, is a system for choosing multiple election winners given voters' preferences among candidates. The system is complex and it is not always obvious how an…

Computers and Society · Computer Science 2025-09-18 Andrew Conway , Michelle Blom , Alexander Ek , Peter Stuckey , Vanessa Teague , Damjan Vukcevic

In the popular debate over the use of ranked-choice voting, it is often claimed that the method of single transferable vote (STV) is immune or mostly immune to the so-called ``spoiler effect,'' where the removal of a losing candidate…

Methodology · Statistics 2024-03-07 David McCune , Jennifer Wilson

Single Transferable Vote (STV) is a voting method used to elect multiple candidates in ranked-choice elections. One weakness of STV is that it fails multiple fairness criteria related to monotonicity and no show paradoxes. We analyze 1,079…

General Economics · Economics 2023-10-20 David McCune , Adam Graham-Squire

Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV…

Computer Science and Game Theory · Computer Science 2025-05-02 Tuva Bardal , Markus Brill , David McCune , Jannik Peters

Several election districts in the US have recently moved to ranked-choice voting (RCV) to decide the results of local elections. RCV allows voters to rank their choices, and the results are computed in rounds, eliminating one candidate at a…

Computers and Society · Computer Science 2022-06-28 Alborz Jelvani , Amélie Marian

The single transferable vote (STV) is a system of preferential proportional voting employed in multi-seat elections. Each ballot cast by a voter is a (potentially partial) ranking over a set of candidates. The margin of victory, or simply…

Computer Science and Game Theory · Computer Science 2025-03-26 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

In ranked-choice elections voters cast preference ballots which provide a voter's ranking of the candidates. The method of ranked-choice voting (RCV) chooses a winner by using voter preferences to simulate a series of runoff elections. Some…

General Economics · Economics 2023-06-12 Mallory Dickerson , Erin Martin , David McCune

The voting systems known as Alternative Vote (AV) and Single Transferable Vote (STV) are extensively used for elections in Australia, possibly more than in any other jurisdiction. Often proposed as superior alternatives to Plurality and…

Physics and Society · Physics 2025-07-22 Anthony B. Morton

Errors are inevitable in the implementation of any complex process. Here we examine the effect of random errors on Single Transferable Vote (STV) elections, a common approach to deciding multi-seat elections. It is usually expected that…

Computers and Society · Computer Science 2020-11-10 Michelle Blom , Andrew Conway , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

Ranked Choice Voting (RCV) adoption is expanding across U.S. elections, but faces persistent criticism for complexity, strategic manipulation, and ballot exhaustion. We empirically test these concerns on real election data, across three…

Computers and Society · Computer Science 2026-02-17 Sanyukta Deshpande , Nikhil Garg , Sheldon H. Jacobson

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…

Single Transferable Vote (STV) elections are a principled approach to electing multiple candidates in a single election. Each ballot has a starting value of 1, and a candidate is elected if they gather a total vote value more than a defined…

Computer Science and Game Theory · Computer Science 2024-12-03 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

Voting is a simple mechanism to combine together the preferences of multiple agents. Agents may try to manipulate the result of voting by mis-reporting their preferences. One barrier that might exist to such manipulation is computational…

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

Single Transferable Vote (STV) is used to elect candidates to the 76 seat Australian Senate across six states and two territories. These eight STV contests are counted using a combination of ballot scanners, manual data entry and tabulation…

Computers and Society · Computer Science 2024-03-21 Michelle Blom

Criteria for a good voting system have been given particularly careful scrutiny in recent years, with general agreement that the core values are fair results, voter power and choice, and local representation. This paper reexamines the basic…

Physics and Society · Physics 2023-03-29 Denis Mollison

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
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