2009 IEEE International Conference on
Systems, Man, and Cybernetics |
![]() |
Abstract
Modern macroeconomics is built on the foundation of nonlinear dynamic stochastic general equilibrium (DSGE) models. In particular, the stochastic growth model is one of the most widely used models in all economics, and is the standard model for business cycle analysis. After reviewing some classical results on existence of optimal solutions to stochastic calculus of variations problems in finite and infinite horizon, we show the connexions between those kind of problems and some classical stochastic optimal capital growth. Finaly, we find some first results on the indeterminacy of capital accumulation path with incertainty, which generalize the ones obtained by Boldrin and Montrucchio (1986).