Some remarks on properties for choice functions

Abstract

In this paper, we present five catagories of results by studying the interrelationships between properties for choice functions. The first catagory of result is about the localization assumption. The second catagory of result is about replication invariance of the egalitarian solution. The third catagory of result provides an axiomatic characterization of the equal loss solution. Forth and fifth catagories consist of lexicographic extensions of the equal loss and relative egalitarian solutions respectively.