In this paper we discuss the efficiency properties of insurance market
s where supplementary private insurance is allowed to exist together w
ith a compulsory government insurance plan. Our main conclusion, which
is contrary to both those of Besley (1989) and Selden (1993), is that
in a simple model focusing on the moral hazard problem alone, a mixed
system will generally be strictly less efficient than a purely privat
e (competitive) system. We also show that Selden's (1993) main proposi
tion is valid only in very special circumstances, which reduces the si
gnificance of his result on the welfare properties of systems of mixed
government/private insurance. (C) 1997 Elsevier Science S.A.