New prospects in social choice theory: median and average as tools for measuring, electing and ranking

Abstract

The goal of this paper is to show that neither mean-based voting systems nor median-based ones can fulfill requirements of an ideal democracy. We then work out an original voting function obtained by hydrizing Borda Majority Count (mean-based) and Majority Judgment (median-based). The so-called “Mean-Median Compromise Method” slices between mean and average values. It proposes, moreover, a new tiebreaking method computing intermedian grades mean