Computations of volumes in five candidates elections

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Title: Computations of volumes in five candidates elections
Authors: Bruns, Winfried
Ichim, Bogdan
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Abstract: We describe several analytical (i.e., precise) results obtained in five candidates social choice elections under the assumption of the Impartial Anonymous Culture. These include the Condorcet and Borda paradoxes, as well as the Condorcet efficiency of plurality, negative plurality and Borda voting, including their runoff versions. The computations are done by Normaliz. It finds precise probabilities as volumes of polytopes in dimension 119, using its recent implementation of the Lawrence algorithm.
Citations: Bruns, W., Ichim, B.: Computations of volumes in five candidates elections. Sci Rep 13, 13266 (2023).
Subject Keywords: Computational science; Software
Issue Date: 15-Aug-2023
License name: Attribution 4.0 International
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Type of publication: Einzelbeitrag in einer wissenschaftlichen Zeitschrift [Article]
Appears in Collections:FB06 - Hochschulschriften

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