No abstract

No abstract

We study voting problems with an odd number of agents and single-peaked preferences. With only three alternatives, there are scoring rules that yield the Condorcet winner only for committees of three and …ve agents. With four or more alternatives, only committees of three agents work. In all these scoring rules, the best and worst alternatives are assigned a score of 1 and 0, respectively, and any middle alternative a score between 0 and 1 2 . For …ve or more alternatives, the score of any middle alternative must be the same, and we call this family semiplurality scoring rules.