I examine the robustness of monetary equilibria
in a random-matching model, where a more efficient mechanism
for trade is available. Agents choose between two trading
sectors: the search and the intermediated sector. In the
former, trade partners arrive randomly and there is a
trading externality. In the latter, a costly matching
technology provides deterministic double-coincidence
matches. Multiple equilibria exist with the extent of costly
matching endogenously determined. Money and “mediated” trade
may coexist. This depends on the size of the probability of
a trade, relative to the cost of deterministic matching.
This outcome is inferior for an increasing-returns
externality. Under certain conditions, regimes with only
costly matching are welfare superior to monetary regimes
with random matching.