Alternative economics: backstage of the basic economic model

Every one of us probably remembers their 1st times in the majority of things. First love, first kiss, first wage, first purchase of alcohol… This list is never-ending. To continue it I will add the first thing you have learned in economics. With the probability 99, 9% that big thing was the model of the demand and supply.
The teachers remind us of its model in different dimensions almost each time we meet in the classroom so that this topic soon becomes sickening. Thus, we often can forget its essence in real life. So what it’s hidden behind usual words “demand” and “supply”?
In the widest sense the demand represents the amount of something that the party member wants and for which he is ready to “sacrifice”/give something. The supply is a peculiar reflection of the demand. It is the amount of something that the member of a party wants to turn in to someone to get a reward for it. That sacrifice for demanders is at the same time the reward for suppliers. The role of it is usually played by the price mechanism to which we all get used to. However, this isn’t necessary the case.
For example, let’s take the most common love relationship of the two people. How did they find each other on this market, a bit hidden by the usual things but still a market? Do you really believe that it can be due to the price in the money dimension? The right answer is no. Let’s assume that a guy after finishing college decides to get a girlfriend as according to Jane Austen “single man in possession of a good fortune must be in want of a wife”. So he kind of turns himself into the “dating market” and starts meeting and gallanting single girls, letting know them that he is free and open to new opportunities. He is willing to go into the relationship in order to get some reward — a great girlfriend, who can give him everything he has ever dreamed of. The single girls in their turn are looking for a great guy and are willing to sacrifice for it some of their freedom and contribute some care to a boyfriend. Once the boy founds a suitable girl for him and she finds him suitable as well that’s it. The market deal is made. Don’t perceive it as feministic or with some seeds of sexism, but that’s the way economic principles work in the real life.
Therefore, as you can see we can expand the limits of usage of demand and supply as every thing in the world subordinates to this law of the demand and supply. Exactly in such a framework people reach agreements, find the place of studying, get job and so on. Actually going back to the reaching agreements there is a funny thing about it. The thing is that in the basics of the supply and demand lies exactly disagreement. Feeling a bit confused?
The point is that you as a demander are sure that your sacrifice for getting the thing you want is less valued that what you will get for it, otherwise you won’t do the sacrifice. The same goes for the suppliers. You will make this deal only if you value your reward higher that the thing you have to offer in order to get it. Thus, the demand and supply party disagree on the value of the thing which is kind of traded between them. Therefore the basic thing needed for agreement in some sense is disagreement.