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Demand is just that, the market has fewer stamps available to sell than people want to buy.
If there are fewer stamps available to sell than people want to
buy, that's a supply problem, not a demand problem. Demand relates to what people are will to
pay, not how many there are to buy. That (willingness to pay) is what explains this:
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Take the U.S. Scott #5 where around 35,000 stamps were issued and the U.S. Scott #21 where only around 3,500 were issued, a difference factor of 10. Yet the 5 is valued 20 time more than the 21.
Of course rarity, or lack of supply, can be a cause for demand, or willingness to pay. But not rarity itself. I have some covers that are extremely rare: they are "one-off" creations of my own I created at the time of the release of 3783 (First Powered Flight Centennial). But they are probably not worth much. I'm not a known cachet maker, so there is no demand for what I created. Take a rock, and paint it green. It may be the only green rock of its kind in the world. Rare indeed. And worthless.
Supply is a factor in the price of something. But it doesn't matter as much as willingness to pay. To explain the prices of stamps, you have to explain the latter. Sometimes, the only explanation for that is irrational exuberance.
Basil