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 …

-envy solution on domains of economies where the set of feasible allocations is symmetric (an allocation obtained from a feasible … allocation by interchanging the bundles of two agents is also feasible) and preferences are complete (each agent can compare any … classical model of fair allocation, the unidimensional single-peaked model, cake division model, and allocation of indivisible …