Abstract: Many-to-one market mechanisms are vulnerable to many types of manipulations. This paper investigates the manipulation via capacities in the context of house-renting markets and derives the conditions under which matching mechanisms are immune to manipulation via capacities. We found that the outcome of the matching being Pareto efficient for real estates is a necessary and sufficient condition for non-manipulability via capacities. The main purpose of this paper is to show the relation between the preference ranking and manipulation via capacities.
