Question

Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D Preferences D C А B D B Assume the voting system is the Borda voting system. 8)a) [3pt) Calculate the social ranking, assuming the voters voted sincerely? Social Ranking: 8)b) [6pt) Show that there is a way for D to win the election through tactical voting, and calculate the new social ranking. New Social Ranking: 8)c) [1pt] What is the type of tactical voting you used in 8)b) called?

Answer 1

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Votes 4 12 3 B с D A D C Preferences D A A B B for Column - for column-2 facolumn. 3 B- 4 C = 12 D-30 A = 3 DE11 CE 2 DE 2 A =10 c=1 B: 9 B: 0 EBE 11 4 + 9 + 0 = 13 1+12 + 2 15 m W. WE 3 DE 2 + 11 + 3 = 16 3 EAE 3.+ 10 + 1 : 14 Social ranking D A B Î ✓ 136 and 3rd uth иа Burying Burying falm of tactical voting in which a alternative lower in the voter insincerely ranks an hopes of defeating it. In Borda count a voter may insincerely Yanle a perceived stueng alternative lost in gider to help their preferred.

alternative beat it. u 4 44 "Ć Sony As a bolen among A,B,CD 'I voted for "D" so D' got all the pointo, Now I hate " but neutval about neat preference will be "c" and hence from column ③ B will be replaced by " and c will get I higher point ។ u e Burying tactical voting