We introduce some new voting rules based on a spatial version of the median known as the mediancentre, or Fermat-Weber point. Voting rules based on the mean include many that are familiar: the Borda Count, Kemeny rule, approval voting, etc. (see Zwicker (2008a,b)). These mean rules can be...

Symmetric (3,2) simple games serve as models for anonymous voting systems in which each voter may vote "yes," abstain, or vote "no," the outcome is "yes" or "no," and all voters play interchangeable roles. The extension to symmetric (j,2) simple games, in which each voter chooses from among j...

Preface -- General Aspects -- Aggregation and Voting -- Algorithms and Complexity -- Axiomatics -- Behavioral Aspects -- Fair Division -- Implementation -- Interpersonal Relations -- Law -- Matching and Markets -- New Technologies