Using the best common set of weights for discriminating efficient candidates with ranked voting data

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 aim to search one common set of weights by using a voting model, to create the best efficiency score of one group composed of efficient candidates. Then, we use this common set of weights to evaluate the absolute efficiency of each efficient candidate in order to rank them.

Keywords:

Data envelopment analysis (DEA) , Ranked voting data , Common set of weights