Payments network in a search model of money

In a simple search model of money, we study a special kind of memory which gives rise to an arrangement resembling a payment network. Specifically, we assume that agents can choose to have access to a central data base which keeps track of payments made and received. We show that multiple equilibria can arise because of a network effect and we study policies that can help eliminate the equilibrium with low access. We also study policies that can loosen the participation constraint. Finally, we compare our model with the model of Cavalcanti and Wallace (1999 a and b)