This article investigates the characteristics of stationary single-price eq
uilibrium in a monetary random-matching model where agents can hold an arbi
trary amount of divisible money and where production is costly. At such an
equilibrium, agents' money holdings are endogenously determined and uniform
ly bounded. A refinement of weakly undominated strategies is argued to be n
ecessary. It is shown that a continuum of single-price equilibria indexed b
y the aggregate real-money balance exists if one such equilibrium exists. E
quilibria with different money-holdings upper bounds, hence different distr
ibutions, but with identical aggregate real-money balances can coexist.