Consider the following preferences and election problem. Let usassume that a president has to be elected. 4 candidates want tobecome a president, who are representing different politicalideologies: A is a left-wing candidate, B is a social-democrat, Cis a right-liberal candidate and D is a right-wing candidate. 20%of the voters (group left) preference A≻B≻C≻D, 30% of the voters(group social democrats) have the preference B≻A≻C≻D, 10% of thevoters (group right-liberal) preference C≻B≻A≻D, 40% of the voters(group right) have preference D≻C≻B≻A. Please note the sign “ ≻ “means “preferred to.â€. In total we have 100 voters.
A What is the election outcome if a pure plurality voting systemis applied? How many votes does the winner receives?
B Who will be elected if the Instant Runoff voting system isapplied? Who will be the first and second ranked candidate in thefirst election round? How much votes will the winner get in thesecond round?
C. Who will win if the system of unanimity is applied?
D. Who will win, if the point-count voting is applied? Pleasenote, the voters have to rank their preferences for the first 3candidates like, the most preferred candidate get 3 points, thesecond ranked candidate gets 2 points and the third rankedcandidate gets 1 point. The fourth preferred candidate get zeropoints. How many points will be distributed in total and how muchpoints will the winner receive?
