Thursday, May 29, 2014

The Science of Demand (41) - Unofficial Translation of Steven Cheung's 经济解释 - 科学说需求


“Mono-quality” refers to a good having only a single quality, therefore higher quality means more quantity, lower quality means less quantity, quality being equivalent to quantity. Gold is gold, silver is silver; one tael of gold is one tael of gold, one tael of silver is one tael of silver (working on pure gold and pure silver of course). This is different from the diamond example in Chapter V. Diamond has multi-quality, but since the different “qualities” have all been measured with each having its own price, it becomes multi-quantity. The transacted price of a diamond is a combined price of several quantities and several prices. If we say multi-quality but not multi-quantity, the reason is that the different qualities of certain goods have not been separately measured and each quality has not been separately priced. The so-called quality merely refers to the other quantities that have not been directly priced.

I will first use a “mono-quality” good to demonstrate a more thorough application of the law of demand: how to assert test conditions to couple quantity demanded and quantity transacted. The example I pick is photocopied papers which are priced by its number. Certainly, photocopying can have several different “qualities”, though we assume these other qualities either do not exist or are insignificant.

My example is professors of some universities can apply for certain research fund. Such research fund is not endowed to the professor for his own use, but is controlled by the university. Not only is the fund limited to be used only by that professor, but also to be used only for research – the professor cannot utilize the fund to enjoy life with his mistress. Research uses are clearly spelled out, one of them being photocopying.

Let’s assume it costs the professor $0.2 to photocopy in the university whether he pays for it himself or from the research fund controlled by the university. In the latter case, deduction is made from the fund by the university. Let’s also assume two options are available to the professor, out of which only one is allowed. The first one is the university awards him a one-off pay rise of $100,000 that he can use for photocopying or enjoying life. The second one is for him to receive a $100,000 research fund for research purposes which he can use for photocopying but not enjoying life. Under these two asserted constraints, which option will the professor photocopy more? Photocopying cost being the same $0.2 per page, will getting a pay rise of $100,000 or a research fund of $100,000 lead to a greater increase in photocopying quantity? The answer is of course the option of research fund. The certainty of this answer is identical to the sure fall of a coin.

To explain why photocopying will increase more when a professor receives a research fund than a pay rise, we can have innumerable hypotheses. The hypothesis that I derive from the law of demand is: for a pay rise which can be used to enjoy life, $0.1 is worth $0.1; but for a research fund which is restricted for research purposes, the worth of its $0.1 is definitely less than the pay rise of $0.1. Supposing $0.1 of the latter is only worth $0.06 of the former, for the same photocopying cost of $0.2 a page, the cost after a pay rise is $0.2, while the cost after a research fund is $0.12. The fall in price then triggers more quantity demanded.

There are four important points in this example. First, changing from pay rise to research fund is a change in constraints, as well as a change in test conditions. As long as we are able to choose the appropriate test conditions, real-world phenomena can be much more readily explained. Second, with a good choice of test conditions, logically, the trends of quantity demanded and quantity transacted would be identical, hence these two can be said to have been coupled. In the aforementioned example, the increasing or decreasing trends of intended quantity demanded and factual quantity transacted are the same. Third, irrespective of what hypothesis you have invented, under my asserted test conditions, my hypothesis will be confirmed while yours may be falsified. If yours is refuted, under the same test conditions with one right and the other one wrong, this test then becomes a critical test. Obviously, this can only be achieved when test conditions are smartly chosen. Fourth, the so-called change or non-change of other things can be ignored in the above hypothesis. As long as test conditions are smartly chosen, turning their changes into significant marginal changes, other things become irrelevant.



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