Introduction 11
1. I was ordering lunch at a restaurant.
2. The waitress told me that there was a fish pla te and a meat plate, and
I ordered the fish plate.
3. The waitress returned a few minutes later and told me that I could also
choose pasta.
4. I then ordered the meat plate.
Such a situation actually happened: once, in figure s kating where judges score,
the existence of a skater who came in fourth place caused the o rder of the first
and second place skaters to be reversed [97].
A more classic example that questions whether democracy is fair is Con-
dorcet’s paradox. Condorce t was a mathematician, philosopher, and politician
in 18th century France, and is known for investigating the paradox of voting.
This paradox appears when voting for three c a