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A cornerstone of social choice theory is Condorcet's paradox which says that in an election where $n$ voters rank $m$ candidates it is possible that, no matter which candidate is declared the winner, a majority of voters would have…

Computer Science and Game Theory · Computer Science 2025-04-23 Moses Charikar , Alexandra Lassota , Prasanna Ramakrishnan , Adrian Vetta , Kangning Wang

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to…

Artificial Intelligence · Computer Science 2025-02-25 Wesley H. Holliday , Alexander Kristoffersen , Eric Pacuit

The randomized subspace Newton convex methods for the sensor selection problem are proposed. The randomized subspace Newton algorithm is straightforwardly applied to the convex formulation, and the customized method in which the part of the…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Taku Nonomura , Shunsuke Ono , Kumi Nakai , Yuji Saito

We present a model for quantitatively identifying swing voters in congressional elections. This is achieved by predicting an individual voter's likelihood to vote and an individual voter's likelihood to vote for a given party, if he votes.…

Physics and Society · Physics 2014-05-21 Steven Ambadjes

Conflict of interest is the permanent companion of any population of agents (computational or biological). For that reason, the ability to compromise is of paramount importance, making voting a key element of societal mechanisms. One of the…

Artificial Intelligence · Computer Science 2016-08-10 Arne Recknagel , Tarek R. Besold

The outcome of an election depends not only on which candidate is more popular, but also on how many of their voters actually turn out to vote. Here we consider a simple model in which voters abstain from voting if they think their vote…

Physics and Society · Physics 2021-12-01 Ekaterina Landgren , Jonas L. Juul , Steven H. Strogatz

This paper introduces Propose or Vote (PoV), a democratic procedure for collective decision-making and elections that does not rely on a central mechanism designer. In the first stage, members of a polity choose whether to become…

Theoretical Economics · Economics 2025-12-23 Hans Gersbach

We demonstrate that machine learning enables the capability to infer an individual's propensity to vote from their past actions and attributes. This is useful for microtargeting voter outreach, voter education and get-out-the-vote (GOVT)…

Physics and Society · Physics 2021-02-15 Rebecca D. Pollard , Sara M. Pollard , Scott Streit

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

There is a striking relationship between a three hundred years old Political Science theorem named "Condorcet's jury theorem" (1785), which states that majorities are more likely to choose correctly when individual votes are often correct…

Machine Learning · Computer Science 2020-02-17 Hanan Shteingart , Eran Marom , Igor Itkin , Gil Shabat , Michael Kolomenkin , Moshe Salhov , Liran Katzir

We study the complexity of determining a winning committee under the Chamberlin--Courant voting rule when voters' preferences are single-crossing on a line, or, more generally, on a median graph (this class of graphs includes, e.g., trees…

Computer Science and Game Theory · Computer Science 2020-10-20 Andrei Constantinescu , Edith Elkind

We investigate winner determination for two popular proportional representation systems: the Monroe and Chamberlin-Courant (abbrv. CC) systems. Our study focuses on (nearly) single-peaked resp. single-crossing preferences. We show that for…

Multiagent Systems · Computer Science 2023-08-01 Jiehua Chen , Christian Hatschka , Sofia Simola

We consider elections where both voters and candidates can be associated with points in a metric space and voters prefer candidates that are closer to those that are farther away. It is often assumed that the optimal candidate is the one…

Computer Science and Game Theory · Computer Science 2019-01-23 Grzegorz Pierczyński , Piotr Skowron

We consider a type of pull voting suitable for discrete numeric opinions which can be compared on a linear scale, for example, 1 ('disagree strongly'), 2 ('disagree'), $\ldots,$ 5 ('agree strongly'). On observing the opinion of a random…

Probability · Mathematics 2023-05-26 Colin Cooper , Tomasz Radzik , Takeharu Shiraga

We consider a spatial voting model where both candidates and voters are positioned in the $d$-dimensional Euclidean space, and each voter ranks candidates based on their proximity to the voter's ideal point. We focus on the scenario where…

Computer Science and Game Theory · Computer Science 2025-05-20 Hadas Shachnai , Rotem Shavitt , Andreas Wiese

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

Probability · Mathematics 2020-06-02 John Fernley , Marcel Ortgiese

Consider elections where the set of candidates is partitioned into parties, and each party must nominate exactly one candidate. The Possible President problem asks whether some candidate of a given party can become the winner of the…

Computer Science and Game Theory · Computer Science 2025-02-06 Ildikó Schlotter , Katarína Cechlárová

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

We model dynamically changing candidate positions in the face of a dynamic electorate. To formulate our equations, we use a space-time-continuous Hegselmann-Krause equation, which we solve using a particle method. We use the combined…

Physics and Society · Physics 2025-11-21 Christoph Borgers , Natasa Dragovic , Arkadz Kirshtein

We study the voting problem with two alternatives where voters' preferences depend on a not-directly-observable state variable. While equilibria in the one-round voting mechanisms lead to a good decision, they are usually hard to compute…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia
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