Power set extensions of dichotomous preferences

This paper is devoted to the study of how to extend a dichotomous partition of a universal set X into good and bad objects to an ordering on the power set of X. We introduce a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of two rules that are particularly appealing when it comes to compating sets in which the goodR. Arlegi gratefully acknowledges financial support from the Spanish Ministry of Education, projects ECO2012-34202 and ECO2015-65031-R