Justified Fairness in House Allocation Problems: two Characterizations of Strategy-proof Mechanisms (2407.14101v1)

Abstract: We consider the house allocation problems with strict preferences, where monetary transfers are not allowed. We propose two properties in the spirit of justified fairness. Interestingly, together with other well-studied properties (strategy-proofness and non-bossiness), our two new properties identify serial dictatorships and sequential dictatorships, respectively.