Computational geometry and the U.S. Supreme Court

Noah Giansiracusa and Cameron Ricciardi

Mathematical Social Sciences, 2019, vol. 98, issue C, 1-9

Abstract: 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 vote outcomes have a strength in addition to a location. We introduce each model from a formal axiomatic perspective, briefly discuss practical motivation for each in terms of judicial behavior, prove mathematical relationships among the voting coalitions compatible with each model, and then study the two-dimensional setting by presenting computational tools for working with the models and by exploring these with judicial voting data from the Supreme Court.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:98:y:2019:i:c:p:1-9

DOI: 10.1016/j.mathsocsci.2018.12.001

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