This article reverses the standard conclusion that asymmetric information p
lus competition results in insufficient insurance provision. Risk-tolerant
individuals take few precautions and are disinclined to insure, but they ar
e drawn into a pooling equilibrium by the low premiums created by the prese
nce of safer more risk-averse types. Taxing insurance drives out the reckle
ss clients, allowing a strict Pareto gain. This result depends on administr
ative costs in processing claims and issuing policies, as does the novel fi
nding of a pure-strategy, partial-pooling, subgame-perfect Nash equilibrium
in the insurance market.