Why Ten $1's Are Not Treated as a $10

We study the stability of monetary steady states in a random matching model of money where money is indivisible, the bound on individual money holding is finite, and the trading protocol is buyer take-it-or-leave-it offers. The class of steady states we study have a non-full-support money-holding distribution and are constructed from the steady states of Zhu (2003). We show that no equilibrium path converges to such steady states if the initial distribution has a different support.