Séminaire des doctorants

The Mathematics of Voting Systems

by Mr Niels Feld (IMT)

IMT - Johnson

IMT - Johnson


Social choice theory aims at studying and analyzing the way in which the combination of individual opinions can lead, at the collective (or social) level, to a ranking of possible choices, or even to a single decision. Historically, it has been particularly applied to questions of economic justice, bargaining procedures (or fair sharing), assignment (matching algorithms) and voting methods.
  In this talk, we will focus on the latter. Electoral systems are the rules for conducting elections, a main component of which is the algorithm for determining the winner (or several winners) from the ballots cast. We will discuss methods and results of comparing different electoral systems.