Discrete Example
The above discussion of supply and demand can be thought of in terms of individual people interacting at a market. Suppose the following people exist:
- Alice is willing to pay $10 for a sack of potatoes.
- Bob is willing to pay $20 for a sack of potatoes.
- Cathy is willing to pay $30 for a sack of potatoes.
- Dan is willing to sell a sack of potatoes for $5.
- Emily is willing to sell a sack of potatoes for $15.
- Fred is willing to sell a sack of potatoes for $25.
There are many possible trades that would be mutually agreeable to both people, but not all of them will happen. For example, Cathy would be willing to trade with Fred for any price between $25 and $30. If the price is above $30, Cathy is not interested, since the price is too high. If the price is below $25, Fred is not interested since the price is too low. Of course, just because a trade is possible, doesn't mean it will happen. Each of the sellers will try and get as high of a price as possible, and each of the buyers will try and get as low of a price as possible.
Imagine that Cathy and Fred are bartering over the price. Fred offers $25 dollars for a sack of potatoes. Cathy is just about ready to agree when Emily offers to sell a sack of potatoes for $24 dollars. Fred is not willing to sell at $24 dollars, so he drops out. At this point, Dan can offer to sell for $12. Emily won't sell for that amount so it looks like the deal might go through. At this point however, Bob steps in and offers $14 dollars. At this point, we have two people who are willing to pay $14 dollars for a sack of potatoes (Cathy and Bob), but only one person (Dan) willing to sell for $14 dollars. So the price must go up because Cathy and Bob are both willing to pay more than $14 dollars. As soon as the price hits $15 dollars, Emily will be willing to sell so there are now two people willing to pay $15 dollars and two people willing to sell at $15 dollars so the trades can happen. But what about Fred and Alice? Well, Fred and Alice are not willing to trade with each other since Alice is only willing to pay $10 and Fred will not sell for any amount under $25. Alice can't outbid Cathy or Bob to try and purchase from Dan so Alice will not be able to get a trade with them. Fred can't underbid Dan or Emily so he will not be able to get a trade with Cathy. In otherwords, a stable equilbrium has been reached.
A supply and demand graph could also be drawn from this. The demand would be:
- 1 person is willing to pay $30 (Cathy).
- 2 people are willing to pay $20 (Cathy and Bob).
- 3 people are willing to pay $10 (Cathy, Bob, and Alice).
The supply would be:
- 1 person is willing to sell for $5 (Dan).
- 2 people are willing to sell for $15 (Dan and Emily).
- 3 people are willing to sell for $25 (Dan, Emily, and Fred).
And here is the graphs:
- See also: Microeconomics, Externalities, Taxes and Subsidies, Deadweight loss, Consumer and producer surplus, Consumer Theory, Rationing.
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