Friday, June 6, 2014

The Science of Demand (42) - Unofficial Translation of Steven Cheung's 经济解释 - 科学说需求


Nice demand hypotheses are not all invented by me (a smile). Teacher Alchian invented one which was not only brilliant but important. Unfortunately, a half-step blunder led some people to think that Alchian was comprehensively wrong. I will slightly amend Alchian’s hypothesis here, assert a little supplement, before making some generalizations.

More than forty years ago, teacher Alchian noted that the highest-quality brand of Californian oranges, Sunkist, was mostly exported overseas and rarely found in California. Why are high-quality products exported and less-desired products left behind? After Alchian’s hypothesis had seen the light of day, two professors from the University of Chicago disagreed and wrote to oppose. One of my students, John Umbeck, also joined the written polemics, orange somehow became apple. The often-talked about within the profession is now apple instead of orange.

The Washington State of the United States abounds with apples. There are tens of species, the most popular being Red Delicious, and its market price is the highest, too. However, as clearly observable, high-quality Red Delicious apples are mostly exported overseas, and the local people in the Washington State often have the lower-quality ones or other species. Indeed, in Hong Kong and mainland China these days, almost all the American apples that we find in the market are Red Delicious, whereas other species produced in Washington are seldom found.

In Alchian’s explanation, top-quality apples in the United States were assumed to be selling for $0.2 each, lower-quality $0.1, therefore their relative price was 2 to 1. If the apples were exported to Hong Kong, with freight charge $0.1 a piece, each top-quality apple would be selling for $0.3 in Hong Kong and lower-quality one $0.2, their relative price then became 3 to 2. 2 divided by 1 was 2, 3 divided by 2 was 1.5, 1.5 being less than 2. The conclusion was, when apples were transported to Hong Kong, though the market prices of top-quality and lower-quality ones were both higher than that in the States, in relative terms, top-quality ones were comparatively cheaper (1.5 being less than 2), hence Red Delicious but not others were exported to Hong Kong.

This Alchian’s explanation was fantastic, but in an article published in the early 1970s, two scholars from the University of Chicago (John Gould and Joel Segall) applied the indifference curve in the utility analysis to prove that Alchian’s analysis was wrong. The observation that the Californian oranges and Washington State apples exported were of top quality could not be wrong; on the other hand, the indifference analysis of the two scholars was so logical that no mistake could be found. Their fault in fact lies in their counter-evidences: Boston lobster in its place of origin is the most delicious; vegetables in a farm are tastier than in the city. These two counter-evidences are untenable since lobsters and vegetables are best consumed when fresh. By the time Boston lobsters have arrived at Hong Kong, their flesh would have shrunk by one-third.

I submit that Teacher Alchian’s analysis is not incorrect, though an incorrect perspective was adopted; the analysis of the two scholars was wrong because they wrongly used “quantities” in the y-axis and x-axis of their analytical diagram. All three of them overlooked the point that analysis of top-quality goods and lower-quality ones must start from the perspective of multi-quality. Using number of apples as quantity implies that other important qualities – such as sugar content – are different, analysis can then easily go astray. The sugar content of apple, though not directly priced, has a determining effect on price. If we indirectly work out the price of sugar content, the issue will be clarified.

(In those days, over this issue I pondered long and deep. It was only after several years that I conceived the difference between quantity “in substance” and quantity “by proxy”, and realized the quantity of apples is a combination of “in substance” and “by proxy”. Once sugar content is entrusted to the number of apples, the issue becomes clear. This new concept of “by proxy”, never before published, can now be found in Section 7, Chapter V.)

Since irrespective of the sugar content of an apple, freight charge remains the same, therefore, the higher the sugar content in the apples shipped to Hong Kong, the cheaper the indirect price of each sugar content unit. In explaining why Hong Kong people get to consume top-quality Washington State apples, it was wonderful of Alchian to assert the test condition of freight charges. However, comparing the relative prices of top-quality apples and lower-quality ones in the United States with that in Hong Kong was an incorrect perspective. The correct perspective is, once freight charges have been fixed, the higher the sugar content and other qualities, the sharper is the fall in indirect prices of these qualities in Hong Kong. When consuming top-quality apples or oranges in Hong Kong, we are nonetheless restrained by the law of demand.

Let me make further clarification. Suppose a unit of sugar content has been measured and priced, and this unit price remains constant in the State of Washington (e.g., one unit for $0.05, two units $0.1, three units $0.15), then after the inclusion of a fixed freight charge, with any increase in sugar units, the fall in relative price between different qualities of apples will be sharper. In other words, the mono-quality approach in the indifference-curve analysis of the two scholars from the University of Chicago was wrong. Only is it right in adopting a multi-quality approach. The perspective of Teacher Alchian in those days was in fact not incorrect, yet without separating units of sugar content, the whole picture was blurred.

Suppose a mother wants to send a parcel of winter clothes to her son overseas. If air freight is calculated per parcel but weight, and the size of parcel is prescribed by the post office, then the mother will always pack the parcel as full as possible. Maternal love follows the law of demand, too.

Friends, let’s imagine that you, handsomely dressed, take your new girlfriend out to fine dining. You will not order burgers. As a matter of fact, the restaurateur, knowing that you will not order burgers, never has burger on his menu. This is an implication of the law of demand.

Having bought an upmarket residential block of land with breathtaking views, you will not build on it a plain house. Assuming that you treasure simple and crude, going crazy to eventually build such a house, your building costs will definitely go down the drain: when you come to sell your house, the proceeds you receive will at best be the price of the land. Upper-class residential sites will have upper-class buildings built. This is also implied by the law of demand.

A person whose time is precious who does everything possible to attend a concert will not buy cheap seats. Dining out while holidaying in Paris, the wine ordered by a holidaymaker will be more expensive than that ordered by a local resident. The attendance rate of a student who pays for his tuition fee himself will be higher than that of those students who do not. All this, similar to apples and oranges, exemplifies that behavior is restrained by the law of demand.



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