I grew up in a very conservative environment and even now consider myself libertarian. Even so, a progressive tax plus a universal basic income just seem like

I grew up in a very conservative environment and even now consider myself libertarian. Even so, a progressive tax plus a universal basic income just seem like the right way to put a floor on income on which people can stand and better themselves. The sim seemed a little abstracted from normal interactions, is there some equivalent simulation which shows what happens as we vary the progressivity of the tax code, and also vary the amount of a basic income? Other questions: would it make sense to use the level of a basic income to stimulate the economy, rather than the fiscal stimulus to banks? Does a basic income or a progressive tax put a max on the wealthys' income in some non-obvious way, or just reduce it? Is there an economist who has applied control theory (i.e. the Kalman filter) to economics?