OK, so there are two separate arguments being made (if I follow you):
1- When a company analyses the market to set wages it is acting in a logic and non-arbitrary way. We agree here.
2-The market may not necessarily set wages in a logic and non-arbitrary way (I think that's what you're saying but I'm not sure). While I agree that the wages reached by market equilibrium are not necessarily perfect (what is perfect anyway?), I find it hard to call them arbitrary or even illogical.
But to expand on 2 first I need to know I got what you're saying right.
Okay, we're on the right track here. Now in actuality even part 1 doesn't actually happen, but it does trend toward that (microeconomics explains micro things) so it's a good rule of thumb.
And yes, the part 2 is what I was saying. I'm going to give you a bit of a heads up and say that if you take part 1 as sufficiently true because competition requires it, and then use it to try to prove how the market then reflects those logical differences back and forth in a self correcting way that proves the market itself is more or less trending efficient, logical, and something you can defer to, I want to let you know that in all my previous responses I was shortcutting that conversation because I was hoping we wouldn't ahave to hash out why ahistorical marginal utility price theory doesn't actually prove that because part 1 exists (more or less, sometimes a lot less, sometimes a lot more) does not disprove my part 2 assertion.
Here's a teaser:
We agree that the best mutual fund is the one that makes you the most money for when you need it, right? I.e. protects you from losses and gives you gains, right? I think so, holding social utility constant.
Right now there are over $2 trillion in financial assets held by mutual funds. These funds advertise to companies big and small, and a board is responsible for picking the funds they trust. Generally this board is pretty ignorant about finance.
Meanwhile, Morningstar came up with a grid to classify funds. "Large-cap Growth. Mid-cap value" etc. The power of this classification is SO strong that mutual funds are generally contractually obligated to stay in one of the 9 categories or they lose their client.
That means their job is to move money from a narrow selection of stocks that all the other mutual companies are also stuck with, unable to use the most profitable methods to do their real job: grow and preserve assets.
Meanwhile, it's become popular in the past 10-20 years to recognize that indexing your money often outperforms any general manager, so most funds are fake managing (but really indexing). So while yes, other funds can trade against this to bring things back toward equilibrium, ignoring the real world economy consequences of the wealth effect on inflated stock prices that feed back into the system, it still holds that the biggest institutional asset managers are overwhelmingly pulling the market away from optimal pricing just to appease clients' preference from branding over results.
The second teaser is that the very foundations of our market economy are sitting atop bigger structural distortions than that creating a world in which the biggest challenge in LED lightbulbs is figuring out how to make them break, literally shrinking our aggregate supply curve limits in favor of personal profit, instead of celebrating 30-year bulb superiority and using that talent and industrial capacity for better things that beget even better things.