In the context of resource allocation on the basis of responsive priorities, Ergin (2002) identifies a necessary and sufficient condition for the deferred acceptance rule to satisfy a consistency principle. In this note, we extend this result to the domain of substitutable priorities,...

We consider estate division problems and show that for any claim game based on a (estate division) rule satisfying efficiency, equal treatment of equals, and order preservation of awards, all (pure strategy) Nash equilibria induce equal division. Next, we consider (estate division) rules...