If there is an equilibrium, each type must purchase a separate contract. Arguments, which are, we hope, by now familiar, demon- strate that each contract in the equilibrium set makes zero profits. In Figure III the low-risk contract lies on line EL (with slope (1 - pL)/pL), and the high-risk contract on line EH (with slope (1 - pH)/pH). As was shown in the previous subsection, the contract on EH most preferred by high-risk customers gives complete insurance.