Let the committee of 3 voting to choose the ranking of 4 candidates. Voting goes as follows:
The chair person allots 4096, 2048, 1024, and 0 points respectively to the first, second, third, and fourth preference. Vice-chair person persson allots 512, 256, 128 and 0 points to first, second, third, and fourth preference.
Auxiliary member allots 32, 16, 8 and 0 points
points are summed and ranking found by point totals.
a) is it possible that any two candidates receive same number of points? Describe.
b) Which of three fairness criteria are true for the system? Describe.