One of the most prominent characteristics of multilateral organization
s is that they do not ''spring forth full blown''; they grow. Although
this is well known, relatively few attempts have been made to explain
it at a general level or to explore its implications. In this paper w
e show why states that desire to create a multilateral organization or
agreement might be attracted to a strategy that involves admitting po
tential members sequentially based on their preferences. Such a ''sequ
ential construction'' strategy can generate an unusual kind of structu
re-induced equilibrium that dramatically mitigates the breadth-depth t
rade-off and increases the level of cooperation a multilateral is able
to attain. We evaluate these claims with data drawn from the history
of the European Union and twenty environmental multilaterals.