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...

The importance of time in production was emphasized by Classical economists and was at the core of the Austrian capital theory proposed by Böhm-Bawerk and further elaborated by Wicksell, Hicks, Dorfman, and many others. A central concept in this literature is the existence of an 'average period...

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...

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-...

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...

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...

This paper proposes a new equilibrium concept - organizational equilibrium - for models with state variables that have a time-inconsistency problem. The key elements of this equilibrium concept are: (1) agents are allowed to ignore the history and restart the equilibrium; (2) agents can wait for...

We study optimal dynamic Ramsey policies in a standard growth model with financial frictions. For developing countries with low financial wealth, the optimal policy intervention increases labor supply and lowers wages, resulting in higher entrepreneurial profits and faster wealth accumulation....