Explain the knife-edge problem and its implications for economic growth of an economy. 

The knife-edge problem is a concept in macroeconomics that arises in the context of dynamic models of economic growth, particularly those concerning steady-state equilibrium. It refers to a situation where an economy’s growth trajectory is extremely sensitive to small changes in certain parameters, such as savings rates, population growth rates, or technological progress. In these models, the economy can either converge to a steady-state equilibrium or diverge into an unstable path depending on the precise values of these parameters. The term "knife-edge" is used because the economy is on the "edge" of stability, and even minor shifts in parameters can lead to drastically different outcomes, making long-term predictions difficult.

In the traditional Solow-Swan model of economic growth, the knife-edge problem is evident when an economy is near the steady-state level of capital accumulation. The steady state represents a point where the economy’s capital stock, output, and _____ ___ __________ ___ ___.
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