Borda Count to Choose Between groups and to give Profile Preferences

Question

Assume that a group of four individuals, N = {1,2,3,4}, is trying to choose between four alternatives, A = {x,y,z,w}. Assume that they use Borda rule where they give weights of 4,3,2 and 1 to their 1^st, 2^nd, 3^rd and 4^th ranked alternatives respectively. Find an example of profiles of preferences that would violate the Independence of irrelevant Alternatives axiom.

Summary: This question belongs to political economy and discusses about profiles of preferences that would violate the Independence of irrelevant Alternatives axiom.

Total word count: 308