Majority Judgment: Measuring, Electing and Ranking
- Michel Balinski, Rida Laraki
A variety of problems of social choice theory are examined from a unifying point of view that relies on the logic of degrees of belief. Belief is here a social attribute, its degrees being measured by the fraction of individuals that share a given opinion. Different known methods and some new ones are obtained depending on which concepts are considered and which logical implications are assumed between them. Divergences between different methods arise especially when individuals do not express a comparison between every pair of options.