## The Mathematics of Voting |

**Alan Taylor**

Union College

April 15, 2008

4:00 pm

Bailey Hall 207

Refreshments will be served at 3:45 in Bailey 204

We will give a quick survey illustrating the kinds of mathematical questions and answers that arise from real-world voting systems. Many of these results assert that certain election-theoretic desiderata are impossible to attain. Examples include: a “simple” description of the US federal system, an equally good alternative to majority rule, a fair method of apportionment on which to base the electoral college, and voting systems for three or more alternatives in which honesty is the best policy. Along the way we'll see that sometimes (i) having a vote is just like not having a vote, (ii) a candidate can lose to an opponent that everyone likes less, and (iii) gaining a vote can lead to a loss.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Tue Oct 23 15:59:29 EDT 2018 |