Okay, so then we have absolutely no idea in which way the demand curve will curve then. If the demand curve can be any polynomial, then we have no clue if this will happen or not.
What? Nothing I said has anything to do with the demand curve. This is all supply side. We hold the demand curve constant for any such analysis.
But it’s irrelevant anyway: a basic tenet of economics is that people are, in aggregate, utility maximizers. So yes, we do have an idea of some fundamental properties of the demand curve and it cannot simply be any polynomial.
But it’s irrelevant anyway: a basic tenet of economics is that people are, in aggregate, utility maximizers. So yes, we do have an idea of some fundamental properties of the demand curve and it cannot simply be any polynomial.