M. Allard et al., POOLING AND SEPARATING EQUILIBRIA IN INSURANCE MARKETS WITH ADVERSE SELECTION AND DISTRIBUTION COSTS, Geneva papers on risk and insurance. Theory, 22(2), 1997, pp. 103-120
In the Rothschild-Stiglitz [1976] model of a competitive insurance mar
ket with adverse selection, pooling equilibria cannot exist. However i
n practice, pooling contracts are frequent, notably in health insuranc
e and life insurance. This is due to the fact that distribution costs
are nonnegligible and increase rapidly when more contracts are offered
. We modify accordingly the Rothschild-Stiglitz model by introducing s
uch distribution costs. We find that, however small these costs may be
, they entail possible existence of pooling equilibria. Moreover, in t
hese pooling equilibria, it is the high-risk individuals who are ratio
ned, in the sense that they would be willing to buy more insurance at
the current premium/insurance ratio.