It is shown in this paper that there exist cost innovations for which a monopolist has a higher incentive to invest than a social planner. This unveils the limits of the claim, based on Arrow (1959), that a monopoly always has a lower incentive to innovate than a social planner and therefore...

We analyze a model of competition in non-linear pricing under complete information. Among the equilibria of the game, we focus on the truthful equilibrium and the equilibrium that is Pareto dominant for the firms. These coincide when there are only two firms, but differ with three or more firms....

We propose a dynamic model of a patent portfolio race in an industry in which innovation is incremental. Two firms compete in prices and in research. We study the Markov perfect (closed-loop) equilibrium of the resulting differential game, identifying a steady state in which firms compete neck...