We analyze optimal compensation schedules for the directors of two plants belonging to the same owner and producing the same good but serving geographically differentiated markets. Since the outcome of each director depends on his own effort and on a random variable representing market...

We develop a simple model of managing a system subject to pollution damage under risk of an abrupt and random jump in the damage coefficient. The model allows the full dynamic characterization of the optimal emission policies under uncertainty. The results, that imply prudent behavior due to...

The Dasgupta-Heal-Solow-Stiglitz model of capital accumulation and resource depletion poses the following sustainability problem: is it feasible to sustain indefinitely a level of consumption that is bounded away from zero? We provide a complete technological characterization of the...

We show that the standard Value Function Iteration (VFI) algorithm has difficulties approximating models with jump discontinuities in policy functions. We find that VFI fails to accurately identify the location and size of jump discontinuities while other methods - such as the Endogenous Grid...

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...

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...

There are several empirical studies of ex post analysis of citations in academia. There is no ex ante analysis of citations. I consider a game-theoretic model of a contest between scholars on the basis of two widely-used measures of citations (i.e., the ℎ-index and total citation count) and...

This paper presents a dynamic model of risk-averse producers' decision to invest in physical capital and to export. The model features irreversible investment, no capital markets and fixed and sunk costs to export. Several features of the distribution of investment rates and export participation...

Acting in the interest of their residents, within limits imposed by Federal statute and by the Constitution, states have incentives to impose taxes on the profits of corporations owned by nonresidents. This paper presents a model within which a state, using an apportionment formula that includes...