The University of Alabama has a nice website that
discusses the mathematics of voting:
http://www.ctl.ua.edu/math103/Voting/overvw1.htm#What%20do%20we%20mean%20by%20fair?
This site presents a rather through
discussion of voting and voting dilemmas:
http://fc.antioch.edu/~james_green-armytage/vm/define.htm
This site on voting discusses some of the voting
dilemmas encountered in this section:
http://mathworld.wolfram.com/Voting.html
This site by the American Mathematical
Society gives an excellent overview of voting and elections.
http://www.ams.org/featurecolumn/archive/voting-introduction.html
This site presents a discussion of the fairness criteria.
http://www.ctl.ua.edu/math103/Voting/whatdowe.htm
This site gives some references to Arrow's Impossibility
Theorem:
http://mathworld.wolfram.com/ArrowsParadox.html
You can use this site to find real-life
examples of voting dilemmas:
http://www.archives.gov/
This site has an agenda aimed at proportional
representation. Arrow's impossibility theorem proves that
there is no perfect voting method, but this site does
make interesting reading.
http://accuratedemocracy.com/elect.htm#Page2