On the maximal domain theorem: A corrigendum to “Walrasian equilibrium with gross substitutes”

The maximal domain theorem by Gul and Stacchetti (1999) shows that for markets with indivisible objects, the set of gross substitutable preferences is a largest set for which the existence of a competitive equilibrium is guaranteed. In this paper, we give an example to show that a claim in their proof is false, and provide an alternative proof based on a new characterization of gross substitutability.