Recall how Borda count works: each option is assigned a score equal to the total number of options ranked below it across all individual rankings. e options are then ranked according to their scores, from highest to lowest.
Does Borda count satisfy the Pareto condition, P? If yes, prove that it does. If no, verify this by providing a counterexample: a set of rankings where P is violated.
Pareto condition :
If everyone prefers x over y , then y cannot be social choice.
Yes, Borda count satisfies pareto condition.
Proof:-
If every voter prefers x over y. Then x will be always at higher rank than y. And so, the borda score of x will be greater than borda score of y. So y can never win the election because the winner is candidate with higher borda score.
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Recall how Borda count works: each option is assigned a score equal to the total number...
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