Question: What are state variables? The basic idea of solving dynamic models that contain a differential equation is to fi rst write the model so that
What are state variables? The basic idea of solving dynamic models that contain a differential equation is to fi rst write the model so that along a balanced growth path, some state variable is constant. In Chapter 2, we used y>A and k>A as state variables. In this chapter, we used y>Ah and k>Ah. Recall, however, that h is a constant. This reasoning suggests that one should be able to solve the model using y>A and k>A as the state variables. Do this. That is, solve the growth model in equations (3.1) to (3.4) to get the solution in equation (3.8) using y>A and k>A as state variables.
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