Measuring and Controlling Divisiveness in Rank Aggregation

Rachael Colley, Umberto Grandi, César Hidalgo, Mariana Macedo, Carlos Navarrete
6/14/2023
cs.MAcs.AIcs.CY

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Abstract

In rank aggregation, members of a population rank issues to decide which are collectively preferred. We focus instead on identifying divisive issues that express disagreements among the preferences of individuals. We analyse the properties of our divisiveness measures and their relation to existing notions of polarisation. We also study their robustness under incomplete preferences and algorithms for control and manipulation of divisiveness. Our results advance our understanding of how to quantify disagreements in collective decision-making.

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Cite this paper

@article{colley2023measuring,
  title  = {Measuring and Controlling Divisiveness in Rank Aggregation},
  author = {Rachael Colley and Umberto Grandi and César Hidalgo and Mariana Macedo and Carlos Navarrete},
  year   = {2023},
  eprint = {2306.08511},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2306.08511v1}
}

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