This paper studies allocation correspondences in the house allocation problems with collective initial endowments. We examine the implications of two axioms, namely “consistency” and “unanimity.” Consistency requires the allocation correspondence be invariant under reductions of...

This paper studies allocation correspondences in the house allocation problems with collective initial endowments. We examine the implications of two axioms, namely 'consistency' and 'unanimity.' Consistency requires the allocation correspondence be invariant under reductions of population....