We analyze the dynamics of a simple growth model in which production occurs with a delay while new capital is installed (time-to-build). The time-to-build technology is shown to yield a system of functional (delay) differential equations with a unique steady state. We demonstrate that the steady...

To fill the knowledge gap that previous studies ignore either housing or internal urban structure and to enable better fit with important stylized facts, we construct a two-sector optimal growth model of housing where housing is produced by land and housing structure/household durables. We...

Rational agents must perform backwards induction by thinking contingently about future states and actions, but failures of backwards induction and contingent reasoning are ubiquitous. How do boundedly-rational agents make decisions when they fail to correctly forecast actions in the future? We...

Introductory lectures on capital theory often begin by analyzing the following problem: I have a tree which will be worth X(t) if cut down at time t. If the discount rate is r, when should the tree be cut down? What is the present value of such a tree? The answers to these questions are...

Aggregate production functions are reduced-form relationships that emerge endogenously from input-output interactions between heterogeneous producers and factors in general equilibrium. We provide a general methodology for analyzing such aggregate production functions by deriving their first-...

We consider bank panic models in which, depending on the configuration of fundamentals, there can be a positive probability of a bank panic. A crucial assumption in these models is that new equity cannot enter in a panic. We quantify the importance of this assumption by computing the minimal...

This paper reviews the theory of optimal monetary stabilization policy, with an emphasis on developments since the publication of Woodford (2003). The structure of optimal policy commitments is considered, both when the objective of stabilization policy is defined by an arbitrarily specified...

This paper considers a general class of nonlinear rational-expectations models in which policymakers seek to maximize an objective function that may be household expected utility. We show how to derive a target criterion that is: (i) consistent with the model's structural equations, (ii) strong...

I examine optimal taxes in an overlapping generations economy in which each consumer's utility depends on consumption relative to a weighted average of consumption by others (the benchmark level of consumption) as well as on the level of the consumer's own consumption. The socially optimal...