activity
20102025
most citedA Mathematical Analysis of the 2022 Alaska Special Election for US House

8 citations · 14 across the 11 of their papers we have counts for

collaborators

13 papers

physics.soc-ph2025

Instant Runoff Voting and the Reinforcement Paradox

David McCune, Jennifer Wilson

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

stat.ME2024

Multiwinner Elections and the Spoiler Effect

David McCune, Jennifer Wilson

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 ``spoi…

physics.soc-ph2024

The Negative Participation Paradox in Three-Candidate Instant Runoff Elections

David McCune, Jennifer Wilson

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 de…

math.GM2023

Proportional Consistency of Apportionment Methods

Michael A. Jones, David McCune, Jennifer M. Wilson

We analyze a little-known property of apportionment methods that captures how allocations scale with the size of the house: specifically, if, for a fixed population distribution, t…

econ.GN2023

A Comparison of Sequential Ranked-Choice Voting and Single Transferable Vote

David McCune, Erin Martin, Grant Latina +1

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 class…

econ.GN2023

An Empirical Analysis of the Effect of Ballot Truncation on Ranked-Choice Electoral Outcomes

Mallory Dickerson, Erin Martin, David McCune

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 vote…

econ.GN2023★ 1 cited

Paradoxical Oddities in Two Multiwinner Elections from Scotland

Adam Graham-Squire, David McCune

Ranked-choice voting anomalies such as monotonicity paradoxes have been extensively studied through creating hypothetical examples and generating elections under various models of…

econ.GN2023★ 3 cited

Monotonicity Anomalies in Scottish Local Government Elections

David McCune, Adam Graham-Squire

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 rela…

econ.GN2023★ 2 cited

Ranked Choice Bedlam in a 2022 Oakland School Director Election

David McCune

The November 2022 ranked choice election for District 4 School Director in Oakland, CA, was very interesting from the perspective of social choice theory. The election did not cont…

econ.GN2023

An Examination of Ranked Choice Voting in the United States, 2004-2022

Adam Graham-Squire, David McCune

From the perspective of social choice theory, ranked-choice voting (RCV) is known to have many flaws. RCV can fail to elect a Condorcet winner and is susceptible to monotonicity pa…

econ.GN2022★ 8 cited

A Mathematical Analysis of the 2022 Alaska Special Election for US House

Adam Graham-Squire, David McCune

The August 2022 Alaska Special Election for US House contained many interesting features from the perspective of social choice theory. This election used instant runoff voting (oft…

econ.GN2021

The Curious Case of the 2021 Minneapolis Ward 2 City Council Election

David McCune, Lori McCune

In this article we explain why the November 2021 election for the Ward 2 city council seat in Minneapolis, MN, may be the mathematically most interesting ranked choice election in…

math.GR2010

Semigroups Arising From Asynchronous Automata

David McCune

We introduce a new class of semigroups arising from a restricted class of asynchronous automata. We call these semigroups "expanding automaton semigroups." We show that the class o…