This Paper introduces a simple extensive form pricing game. The Bertrand outcome is a Nash equilibrium outcome in this game, but it is not necessarily subgame perfect. The subgame perfect equilibrium outcome features the following comparative static properties. The more similar firms are, the...

We study optimal risk adjustment in imperfectly competitive health insurance markets when high-risk consumers are less likely to switch insurer than low-risk consumers. First, we find that insurers still have an incentive to select even if risk adjustment perfectly corrects for cost differences...

Consumers, when buying health insurance, do not know the exact value of each treatment that they buy coverage for. This leads them to overvalue some treatments and undervalue others. We show that the insurance market cannot correct these mistakes. This causes research labs to overinvest in...