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Related papers: Spatial analysis of U.S. Supreme Court 5-to-4 deci…

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We use the United States Supreme Court as an illuminative context in which to discuss three different spatial voting preference models: an instance of the widely used single-peaked preferences, and two models that are more novel in which…

Computational Geometry · Computer Science 2018-10-30 Noah Giansiracusa , Cameron Ricciardi

Successful attempts to predict judges' votes shed light into how legal decisions are made and, ultimately, into the behavior and evolution of the judiciary. Here, we investigate to what extent it is possible to make predictions of a…

Physics and Society · Physics 2012-10-18 Roger Guimera , Marta Sales-Pardo

The US Supreme Court throughout the 20th century has been characterized as being divided between liberals and conservatives, suggesting that justices with similar ideologies would have voted similarly had they overlapped in tenure. What if…

Physics and Society · Physics 2018-04-13 Edward D. Lee

The Supreme Court's federal preemption decisions are notoriously unpredictable. Traditional left-right voting alignments break down in the face of competing ideological pulls. The breakdown of predictable voting blocs leaves the business…

General Economics · Economics 2023-06-08 Gregory M. Dickinson

Latent factor models are widely used in the social and behavioral science as scaling tools to map discrete multivariate outcomes into low dimensional, continuous scales. In political science, dynamic versions of classical factor models have…

Applications · Statistics 2026-01-28 Rayleigh Lei , Abel Rodriguez

We propose a new version of the spatial model of voting. Platforms of five parties are evolving in a two-dimensional landscape of political issues so as to get maximal numbers of voters. For a Gaussian landscape the evolution leads to a…

Physics and Society · Physics 2009-11-11 Krzysztof Kulakowski

We develop a new class of spatial voting models for binary preference data that can accommodate both monotonic and non-monotonic response functions, and are more flexible than alternative "unfolding" models previously introduced in the…

Applications · Statistics 2025-01-01 Rayleigh Lei , Abel Rodriguez

This article starts by introducing a new theoretical framework to model spatial systems which is obtained from the framework of interacting particle systems by replacing the traditional graphical structure that defines the network of…

Probability · Mathematics 2015-06-12 Nicolas Lanchier , Jared Neufer

Spatial voting models of legislators' preferences are used in political science to test theories about their voting behavior. These models posit that legislators' ideologies as well as the ideologies reflected in votes for and against a…

Applications · Statistics 2024-02-27 Erin Lipman , Scott Moser , Abel Rodriguez

We build simple models for the distribution of voting patterns in a group, using the Supreme Court of the United States as an example. The least structured, or maximum entropy, model that is consistent with the observed pairwise…

Physics and Society · Physics 2017-09-30 Edward D. Lee , Chase P. Broedersz , William Bialek

This study presents a Bayesian spatial voting analysis of the Colombian Senate during the 2006-2010 legislative period, leveraging a newly constructed roll-call dataset comprising 147 senators and 136 plenary votes. We estimate legislators'…

Methodology · Statistics 2025-03-31 Juan Sosa , Carolina Luque , Juan Valero

In legal decisions, split votes (SV) occur when judges cannot reach a unanimous decision, posing a difficulty for lawyers who must navigate diverse legal arguments and opinions. In high-stakes domains, understanding the alignment of…

Computation and Language · Computer Science 2024-06-07 Shanshan Xu , T. Y. S. S Santosh , Oana Ichim , Barbara Plank , Matthias Grabmair

We consider spatial voting where candidates are located in the Euclidean $d$-dimensional space, and each voter ranks candidates based on their distance from the voter's ideal point. We explore the case where information about the location…

Computer Science and Game Theory · Computer Science 2024-08-21 Aviram Imber , Jonas Israel , Markus Brill , Hadas Shachnai , Benny Kimelfeld

Many societal decision problems lie in high-dimensional continuous spaces not amenable to the voting techniques common for their discrete or single-dimensional counterparts. These problems are typically discretized before running an…

Multiagent Systems · Computer Science 2018-10-30 Nikhil Garg , Vijay Kamble , Ashish Goel , David Marn , Kamesh Munagala

We give conditions for equilibria in the following Voronoi game on the discrete hypercube. Two players position themselves in $\{0,1\}^d$ and each receives payoff equal to the measure (under some probability distribution) of their Voronoi…

Combinatorics · Mathematics 2024-06-27 A. Nicholas Day , J. Robert Johnson

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

Computer Science and Game Theory · Computer Science 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel

Every representative democracy must specify a mechanism under which voters choose their representatives. The most common mechanism in the United States -- Winner takes all single-member districts -- both enables substantial partisan…

Computer Science and Game Theory · Computer Science 2026-02-23 Nikhil Garg , Wes Gurnee , David Rothschild , David Shmoys

In large scale collective decision making, social choice is a normative study of how one ought to design a protocol for reaching consensus. However, in instances where the underlying decision space is too large or complex for ordinal…

Computer Science and Game Theory · Computer Science 2017-10-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Sukolsak Sakshuwong

The related concepts of partisan belief systems, issue alignment, and partisan sorting are central to our understanding of politics. These phenomena have been studied using measures of alignment between pairs of topics, or how much…

Social and Information Networks · Computer Science 2025-01-14 Letizia Iannucci , Ali Faqeeh , Ali Salloum , Ted Hsuan Yun Chen , Mikko Kivelä

This paper applies Bayesian methodologies to characterize the legislative behavior of the Colombian Senate during the period 2010-2014. The analysis is carried out through the plenary roll call votes of this legislative chamber. In…

Applications · Statistics 2021-10-22 Carolina Luque , Juan Sosa
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