2017/10/25 by Francis Edward Su, Su, Francis Edward, Shira Zerbib +1
Mathematics · #52A35 #91B12 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:52A35 #msc:91B12
paper · pdf · doi:10.48550/arxiv.1710.09493
arxiv created 2019/06/27 · arxiv updated 2019/06/28
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.