Of course you'll get oscillations (but the business cycle doesn't have anything to do with it), and you don't even need differential equations. But the point o

Of course you'll get oscillations (but the business cycle doesn't have anything to do with it), and you don't even need differential equations. But the point of equilibrium is a Nash Equilibrium, meaning that any deviation from it will create forces that push back to it (you can think of it as a valley). So while there will be oscillations, you won't expect large deviations.