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.
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.
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.
And this is the portion that I'm critiquing. You're holding it as a constant curve sloping downwards.
> So yes, we do have an idea of some fundamental properties of the demand curve
Okay, sure, it relies on there being people who have demand for some commodity.
> it cannot simply be any polynomial
"Any polynomial" might be overselling it, but we can't assume it's sloping downwards.