In this report, we outline a method for approximating a Markovian (or feedback-Nash) equilibrium of a dynamic game, possibly subject to coupled-constraints. We treat such a game as a "multiple" optimal control problem. A method for approximating a solution to a given optimal control problem via...

This paper is a successor of [AK08]. Both papers describe the same suite of MATLAB R° routines devised to provide an approximately optimal solution to an infinite horizon stochastic optimal control problem. The difference is that this paper explains how to allow for state and control...

Computing the solution to a stochastic optimal control problem is difficult. A method of approximating a solution to a given stochastic optimal control problem using Markov chains was developed in [Kra01]. This paper describes a suite of MATLAB functions implementing this method of approximating...

This article is a modified version of [AK06]. Both articles explain how a suite of MATLAB routines distributed under the generic name SOCSol can be used to obtain optimal solutions to continuous-time stochastic optimal control problems. The difference between the SOCSol suites described by the...

Parallel MATLAB is a recent MathWorks product enabling the use of parallel computing methods on multicore personal computers. SOCSol is the generic name of a suite of MATLAB routines that can be used to obtain optimal solutions to continuous-time stochastic optimal control problems. In this...

Viability theory is the study of dynamical systems that asks what set of initial conditions will generate evolutions which obey the laws of motion of a system and some state constraints, for the length of the evo- lution. We apply viability theory to Judd’s (JPE, 1987) dynamic tax model to...

Computing the solution to a stochastic optimal control problem is difficult. A method of approximating a solution to a given stochastic optimal control problem using Markov chains was developed in [Kra01]. This paper describes a suite of MATLAB functions implementing this method of approximating...

A two-stage control problem is one, in which model parameters (“technology”) might be changed at some time. An optimal solution to utility maximisation for this class of problems needs to thus contain information on the time, at which the change will take place (0, finite or never) as well...

This paper constructs a two-sector model of two-period lived overlapping generations with endogenous occupational choice where ability-heterogeneous agents choose whether to become educated when young and henceforth to become skilled when old. We show that endogenous occupational choice in this...

This note formulates a dynamic two-country (developed and developing countries) Chamberlin-Heckscher-Ohlin model of trade with endogenous time preferences a la Uzawa (1968). We examine the relationship between initial factor endowment differences and trade patterns in the steady state. In...