In dynamic models driven by diffusion processes, the smoothness of the value function plays a crucial role for characterizing properties of the solution. However, available methods to ensure such smoothness have limited applicability in economics, and economists have often relied on either...

I study the optimal choice of investment projects in a continuous time moral hazard model with multitasking. While in the first best, projects are invariably chosen by the net present value (NPV) criterion, moral hazard introduces a cutoff for project selection which depends on both a...

I study the optimal choice of investment projects in a continuous-time moral hazard model with multitasking. While in the first best, projects are invariably chosen by the net present value (NPV) criterion, moral hazard introduces a cutoff for project selection which depends on both a project's...

We prove that under standard Lipschitz and growth conditions, the value function of all optimal control problems for one-dimensional diffusions is twice continuously differentiable, as long as the control space is compact and the volatility is uniformly bounded below, away from zero. Under...

I consider a exible framework of strategic interactions under incomplete information in which, prior to committing their actions (consumption, production, or investment decisions), agents choose the attention to allocate to an arbitrarily large number of information sources about the primitive...

We study monopoly and duopoly pricing in a two-sided market with dispersed information about users’ preferences. First, we show how the dispersion of information introduces idiosyncratic uncertainty about participation rates and how the latter shapes the elasticity of the demands and thereby...

We study the optimal dynamics of incentives for a manager whose ability to generate cash ows changes stochastically with time and is his private information. We show that, in general, the power of incentives (or "pay for performance") may either increase or decrease with tenure. However, risk...

We study centralized many-to-many matching in markets where agents have private information about (vertical) characteristics that determine match values. Our analysis reveals how matching patterns reflect cross-subsidization between sides. Agents are endogenously partitioned into consumers and...

The standard framework for analyzing games with incomplete information models players as if they have an infinite depth of reasoning, which is not always consistent with experimental evidence. This paper generalizes the type spaces of Harsanyi (1967- 1968) so that players can have a nite depth...

We study nonlinear income taxation in a Roy model in which agents’ productivity is sector-specific. We show that when income taxes can be sector-specific, the Diamond-Mirrlees theorem (according to which the second-best displays production efficiency) fails: social welfare (be it Rawlsian or...