Voting in agreeable societies

Details Voting in agreeable societies Voting in agreeable societies

2008-11-20

arxiv.org/abs/0811.3245v1

Mathematics

Combinatorics

13 pages, 8 figures; to appear, Amer. Math. Monthly. Related work at http://www.math.hmc.edu/~su/papers.html

Scientific paper

When can a majority of voters find common ground, that is, a position they all agree upon? How does the shape of the political spectrum influence the outcome? When mathematical objects have a social interpretation, the associated theorems have social applications. In this article we give examples of situations where sets model preferences and develop extensions of classical theorems about convex sets, such as Helly's theorem, that can be used in the analysis of voting in "agreeable" societies.

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