Before revision:  These examples show that the recurrence assumption, in addition to fixing uniqueness, rules out unstable economic dynamics, such as the risk-free rate asymptotically going to infinity or to a zero lower bound trap  .
After revision:  These examples show that the recurrence assumption, in addition to fixing uniqueness, rules out unstable economic dynamics, such as the risk-free rate asymptotically going to infinity or to a zero lower bound trap without possibility of escaping .