Steady-state properties in a class of dynamic models, with applications to natural resource management
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We develop a method to characterize the location as well as the time
of approach of optimal steady states in single-state, infinite-horizon, autonomous models. The method is based on a simple function of the
state variable which is defined in terms of the model's primitives. The
actual implementation does not require to solve the underlying dynamic
optimization problem (which often does not admit a closed-form solution). Applying the method to a generic class of resource management
problems, we show how it identifies the set of candidate steady states
and determines, for each steady state, whether the corresponding approach time is finite or infinite.