This paper explains why seemingly irrational overconfident behavior can per
sist. Information aggregation is poor in groups in which most individuals h
erd. By ignoring the herd, the actions of overconfident individuals ("entre
preneurs") convey their private information. However, entrepreneurs make mi
stakes and thus die more frequently. The socially optimal proportion of ent
repreneurs trades off the positive information externality against high att
rition rates of entrepreneurs, and depends on the size of the group, on the
degree of overconfidence, and on the accuracy of individuals' private info
rmation. The stationary distribution trades off the fitness of the group ag
ainst the fitness of overconfident individuals.