Price, at equilibrium, is a true representation of value. But other market forces ensure that equilibrium is seldom met. Tax, tariffs, subsidies on the product and its components skew price away from value.
Also, this kind of analysis only works at market level. Individual actors all have different values. It has to be viewed in aggregate. Think anecdote vs data.
What do you mean by that?
Um... quite exactly the opposite? Very nearly the most basic assumption of all economic theory is that wealth is created through trade (which includes trading labor for a salary) because each party values the thing they are receiving more than the thing they are giving away.
We're not disagreeing. I think I could have been imprecise. It seems a lot of arguments made by economists who should know better quietly use models which which effectively ignore the "most basic assumption" or average it out, which is a nonsensical operation.
Value to an individual is very different to value to a market.
Value in this sense is the aggregate of the individual values to all of the buyers and all of the sellers.
Price and value only match when supply and demand are at equilibrium.
How do you avoid Simpson's paradoxes?
If you don't bother buying them, then the total value to you is probably less than the value of $100 for you.
It's possible that the value just happens to be equal to the value of $100. That's a vanishingly unlikely coincidence.
That might be Econ 101 with fully continuous utility curves, and realized price equilbria, but anyone who has traded on a market knows that as soon as most bids are fulfilled it causes a dislocation of the price, so in reality the opposite is true: all individual choices affect prices in the market.
There is an old concept that rolls through bernanke, krugman, keynes, marx, smith, and aristotle (you're in very smart company if you make this mistake), that somehow prices represent an equivalence class of values. That's a very mistaken view of the world and also, in a perverse way, considering the progressive bona fides of some of those smart people, reflects an illiberal fetishization of the power of money and numericism.