Real economies are based on politics, not maths. You can't design signal flows until you specify social outcomes, and the big problem we have at the moment - and have had for decades now - is that the people who design the outcomes have been utterly dishonest and manipulative about what they've been trying to achieve.
At best they've been dishonest with themselves, and at worst they've simply been acting criminally.
If you want to model the economy accurately, you don't need square waves, you need special prosecutors.