You are asking us to determine prices for a good without knowing the individual preferences which every acting individual chooses. This is impossible. Individuals value different kinds of sandwiches entirely differently. Each person will apply a different value to each. Any theory attempting to start from any other point will invariably fail. Perhaps read a bit more about Austrian thought and some of its core theories.
I understand the excitement that comes with ‘solving’ these kind of situations. Unfortunately when starting with fallacious principles, you will never have a truly correct theory. You can design some amazing structures if you pay no heed to gravity. [:)]
Furthermore, while human actors do concern themselves with quantities, the subjective valuations of those quantities are ever in flux, so any function you set up, at best, can only represent a single complex of value scales only in existence for a fleeting moment in time.
Your eternal function is a chimera, because algebraic functions require constants, and there are no constant ratios in human action.
Is that serious? cause i thought it was physics over a month ago, and then i saw micka.. respond on another occassion it’s in math. idk anymore. obviously in regards to this i could be simply malinformed.
i’m still waiting from the very beginning that micka.. came here to help central plan me getting a 20X20 swimming pool. i really haven’t seen anything other than that kind of attempt from him since. i bring this up as micka… mentions he’s searching for an alternative forum. maybe it’s about time, but what is the equation of true time in the market place?
I would indeed expect my sandwich model to come to a state of equilibrium which I’m fully aware does not correspond to real life. But I am also aware that this is a weakness in the model which I plan to fix in future more sophisticated versions. I can model the “insect tracking” (as discussed elsewhere) phenomena combined with “loans for speculation” which I would hope would result in a model that displayed booms and busts.
The model would indeed contain a few constants and, very importantly, a large amount of variables (in the computer programming sense of the word).
There are “constants” in human action. The strength of gravity, the number of hours in a day are (to a good approximation) constant and these have strong effects on human action. Less precisely, the number of hours people choose to sleep does not vary all that much, 6-9 hours per day covers almost everyone. The number of calories people try to consume (as a function of their body weight) is also not particularly variable. Things that are fairly constant in real life can be modeled as fairly constant in a computer. Things that are very variable in real life can be modeled as very variable in a computer.