English

Piercing Numbers in Approval Voting

Combinatorics 2019-06-28 v3

Abstract

We survey a host of results from discrete geometry that have bearing on the analysis of geometric models of approval voting. Such models view the political spectrum as a geometric space, with geometric constraints on voter preferences. Results on piercing numbers then have a natural interpretation in voting theory, and we survey their implications for various classes of geometric constraints on voter approval sets.

Keywords

Cite

@article{arxiv.1710.09493,
  title  = {Piercing Numbers in Approval Voting},
  author = {Francis Edward Su and Shira Zerbib},
  journal= {arXiv preprint arXiv:1710.09493},
  year   = {2019}
}
R2 v1 2026-06-22T22:26:00.555Z