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. Unanimity requires the allocation correspondence respect unanimity, that …

allocation …

three types of solvable priority structures: The strict type, the house allocation with existing tenants (HET) type, where …, for each object, there is at most one agent who has strictly higher priority than another agent, and the task allocation …