We propose a new numerical method to solve stochastic models that combines the parameterized expectations (PEA) and the Smolyak algorithms. This method is especially convenient to address problems with occasionally binding constraints (a feature inherited from PEA) and/or a large number of state...

This paper uses an economic agent-based model of land use in a growing community on the urban fringe to explore the importance of key economic variables on the spatial patterns of development over time. Understanding dispersed patterns of urban development is important for designing policies for...

Absorbing boundaries are frequently employed in real-time propagation of the Schrödinger equation to remove spurious reflections and efficiently emulate outgoing boundary conditions. These conditions are a fundamental ingredient for the calculation of observables involving infinitely extended...

I demonstrate how the discrete model of optimum income taxation can be used to derive the structure of optimal income tax rates. I compare simulations of the discrete and continuous models of optimum income taxation under identical circumstances, based on U.S. wage data. The two models produce...