Measuring consensus in a preference-approval context
José Luis García-Lapresta (),
David Pérez-Roman and
Remzi Sanver Additional contact information Bora Erdamar: Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X, Istanbul Bilgi University - [-]
David Pérez-Roman: PRESAD Research Group - University of Valladolid
Remzi Sanver: Department of Economics, Bilgi University - Istanbul Bilgi University
We consider measuring the degree of homogeneity for preference-approval profiles which include the approval information for the alternatives as well as the rankings of them. A distance-based approach is followed to measure the disagreement for any given two preference-approvals. Under the condition that a proper metric is used, we propose a measure of consensus which is robust to some extensions of the ordinal framework. This paper also shows that there exists a limit for increasing the homogeneity level in a group of individuals by simply replicating their preference-approvals.