We propose a new method for solving high-dimensional dynamic programming problems and recursive competitive equilibria with a large (but finite) number of heterogeneous agents using deep learning. The "curse of dimensionality" is avoided due to four complementary techniques: (1) exploiting...

This paper develops a dynamic programming method when the one-stage deviation principle in the sense of mechanism design literature doesn’t hold. The commonly used dynamic programming method is valid only if the one-stage deviation principle in the sense of mechanism design literature is...

Anthropogenic greenhouse gas emissions are changing the energy balance of our planet. Various climatic feedbacks make the resulting warming over the next decades and centuries highly uncertain. We quantify how this uncertainty changes the optimal carbon tax in a stochastic dynamic programming...

Under tenancy rent control, rents are regulated within a tenancy but not between tenancies. This paper investigates the effects of tenancy rent control on housing quality and maintenance. Since the discounted revenue received over a fixed-duration tenancy depends only on the starting rent,...

Previous research on optimal R&D subsidies has focussed on the long run. This paper characterizes the optimal time path of R&D subsidization in a semi-endogenous growth model, by exploiting a recently developed numerical method. Starting from the steady state under current R&D subsidization in...

Climate modelers have recognized the possibility of abrupt climate changes caused by a reorganization of the North Atlantic's current pattern (technically known as a thermohaline circulation collapse). This circulation system now warms north-western Europe and transports carbon dioxide to the...

Theoretical considerations suggest that nonlinear health care price schedules have heterogeneous effects on health care demand. In this paper, we develop and apply a finite mixture bivariate probit model to analyze whether there are heterogeneous reactions to the introduction of a nonlinear...

This paper revisits the airline schedule-buffer choice problem analyzed by Brueckner, Czerny and Gaggero (2020) using a simpler model where the random shocks influencing flight times are discrete rather than continuous. The analysis yields closed-form solutions for the flight and ground buffers...

We consider a multi-service transportation system in which passengers are heterogeneous along two dimensions, namely ideal departure time and value of time, leading to both horizontal and vertical differentiation. We investigate the behavior of passengers, and assess how service pricing and...