5 papers
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…
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…
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…
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…
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…