This paper modifies the optimal penalty analysis by incorporating investment incentives with external benefits. In the models examined, the recommendation that the optimal penalty should internalize the marginal social harm is no longer valid as a general rule. We focus on antitrust...

Are new versions of products necessarily better? We analyze product innovation by a firm that engages in research and development designed to improve an existing product, the outcome of which is uncertain. If the firm adopts the innovation its modified product appears to consumers as new and...