Condorcet vs. Borda in light of a dual majoritarian approach

Majority decisiveness, Condorcet criterion, Erosion of majority principle, The Borda method of counts,

Voting in Hiring Committees: Which “Almost” Rule is Optimal?

We determine the scoring rule that is most likely to select a high-ability candidate. A major result is that neither the widely used plurality rule nor the inverse-plurality rule are ever optimal, and that the Borda rule is hardly ever optimal. Furthermore, we show that only the almost-plurality, the almost-inverse-plurality, and the almost-Borda rule can be optimal. Which of the "almost" rules is optimal depends on the likelihood that a candidate has high ability and how likely committee members are to correctly identify the abilities of the different candidates

The Costs of Implementing the Majority Principle: The Golden Voting Rule

Scoring rules, Majority decisiveness, Majority principle, The golden voting rule, D71, D72,

The qq q -majority efficiency of positional rules

According to a given quota q, a candidate a is beaten by another candidate b if at least a proportion of q individuals prefer b to a. The q-Condorcet efficiency of a voting rule is the probability that the rule selects a q-Condorcet winner (q-CW), that is any candidate who is never beaten under the q-majority. Closed form representations are obtained for the q-Condorcet efficiency of positional rules (simple and sequential) in three-candidate elections. This efficiency is significantly greater for sequential rules than for simple positional rules