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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

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

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

Ranked-choice voting anomalies such as monotonicity paradoxes have been extensively studied through creating hypothetical examples and generating elections under various models of voter behavior. However, very few real-world examples of…

General Economics · Economics 2024-11-20 Adam Graham-Squire , David McCune

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

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

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

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

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

In this paper, we provide theoretical and empirical estimates for the likelihood of a negative participation paradox under instant runoff voting in three-candidate elections. We determine the probability of the paradox and related…

Physics and Society · Physics 2024-10-24 David McCune , Jennifer Wilson

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

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

We analyze the susceptibility of instant runoff voting (IRV) to a lesser-studied paradox known as a \emph{reinforcement paradox}, which occurs when candidate $X$ wins under IRV in two distinct elections but $X$ loses in the combined…

Physics and Society · Physics 2026-04-20 David McCune , Jennifer Wilson

Today, Internet involves many actors who are making revenues on it (operators, companies, service providers,...). It is therefore important to be able to make fair decisions in this large-scale and highly competitive economical ecosystem.…

Networking and Internet Architecture · Computer Science 2012-05-01 François Durand , Fabien Mathieu , Ludovic Noirie

The methods of single transferable vote (STV) and sequential ranked-choice voting (RCV) are different methods for electing a set of winners in multiwinner elections. STV is a classical voting method that has been widely used internationally…

General Economics · Economics 2023-07-03 David McCune , Erin Martin , Grant Latina , Kaitlyn Simms

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

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

We consider the problem of selecting an $n$-member committee made up of one of $m$ candidates from each of $n$ distinct departments. Using an algebraic approach, we analyze positional voting procedures, including the Borda count, as…

We study a modification of the so-called Parrondo's paradox where a large number of individuals choose the game they want to play by voting. We show that it can be better for the players to vote randomly than to vote according to their own…

Physics and Society · Physics 2014-10-03 L. Dinis , J. M. R. Parrondo
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