Abstract
This paper generalizes the original random matching model of money by Kiyotaki and Wright (1989) (KW) in two aspects: first, the economy is characterized by an arbitrary distribution of agents who specialize in producing a particular consumption good; and second, these agents have preferences such that they want to consume any good with some probability. The results depend crucially on the size of the fraction of producers of each good and the probability with which different agents want to consume each good. KW and other related models are shown to be parameterizations of this more general one.