This note characterizes the set of Pareto optimal and stable matchings among buyers and sellers and examines the optimality of matching strategies employed by brokers under different commission structures. It is shown that the profit‐maximizing matching strategy for the broker under percentage commission and flat‐fee systems also maximizes the number of houses sold, but it minimizes the buyers' and sellers' surplus. On the other hand, net listing results in the sale of fewer houses, but it yields larger surplus for buyers and sell