CIS 0823. Mathematics for a Digital World

Social Choice: The Impossible Dream

Borda count applet

Borda count used in various situations

How a Host City of the Olympic Games is elected

more on approval voting

In-class exercise: given the following ballots
3111111
AABBCCD
DBCCBDC
BCDADBB
CDADAAA
Decide the election result according to each of the following method:

  1. plurality voting
  2. the Borda count
  3. the Hare system
  4. sequential pairwise voting with agenda A,B,C,D
  5. Condocet's method
  6. approval voting, with the following number of approvals: 2,1,3,4,2,0,1, respectively, on the ballots

Homework: Chapter 9 Exercises No. 9, 11, 15, 27, 32