Measuring the efficiencies of candidates within the range of an interval and ranking them

Ranked voting data arise when voters select and rank more than one candidate with order of preference. Cook and Kress [W.D. Cook, M. Kress, A data envelopment model for aggregating preference rankings, Management Science 36 (11) (1990) 1302–1310], using a DEA/AR model, proposed to assess each candidate with the most favorable scoring vector for him/her. However, the use of this procedure often causes several candidates to be efficient, i.e., they achieve the maximum score. For this reason, several methods to discriminate among efficient candidates have been proposed. In this paper, we measure the efficiencies of candidates within the range of an interval. A minimax regret-based approach (MRA) is used to compare and rank the efficiency intervals of candidates.

Keywords:

Data envelopment analysis (DEA) , Ranked voting data , Interval efficiency , Ranking of candidates Minimax regret ranking