# Alchian–Allen effect

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The Alchian–Allen effect was described in 1964 by Armen Alchian and William R Allen in the book University Economics (now called Exchange and Production [1]). It states that when the prices of two substitute goods, such as high and low grades of the same product, are both increased by a fixed per-unit amount such as a transportation cost or a lump-sum tax, consumption will shift toward the higher-grade product. This is true because the added per-unit amount decreases the relative price of the higher-grade product.

Suppose, for example, that high-grade coffee beans are \$3/pound and low-grade beans \$1.50/pound; in this example, high-grade beans cost twice as much as low-grade beans. Now add a per-pound international shipping cost of \$1. The effective prices are now \$4 and \$2.50; high-grade beans now cost only 1.6 times as much as low-grade beans. This reduced ratio of difference will induce distant coffee-buyers to now choose a higher ratio of high-to-low grade beans than local coffee-buyers. (Prices are illustrative only).

The effect has been studied as it applies to illegal drugs and it has been shown that the potency of marijuana increased in response to higher enforcement budgets,[2] and there was a similar effect for alcohol in the U.S. during Prohibition.[3] This effect is called Iron law of prohibition or Cardinal rule of prohibition.

Another example is that Australians drink higher-quality Californian wine than Californians, and vice versa, because it is only worth the transportation costs for the most expensive wine.[4]

Colloquially, the Alchian–Allen theorem is also known as the “shipping the good apples out” theorem (Thomas Borcherding),[5] or as the “third law of demand.”[6]

## References

1. ^ Alchian, Armen Albert (1983). Exchange & production: competition, coordination & control. Belmont, CA: Wadsworth Pub. Co. ISBN 0-534-01320-1.
2. ^ Thornton, Mark (1998). "The Potency of Illegal Drugs". Journal of Drug Issues. 28 (3): 725–740. ISSN 0022-0426.
3. ^ Thornton, Mark (1991). The Economics of Prohibition (PDF). Salt Lake City, UT: University of Utah Press.
4. ^ "Tim Harford on long-distance relationships - Marginal REVOLUTION". 25 November 2006.
5. ^ Borcherding, Thomas E.; Silberberg, Eugene (1978). "Shipping the Good Apples Out: The Alchian and Allen Theorem Reconsidered". Journal of Political Economy. 86 (1): 131–138. doi:10.1086/260651. JSTOR 1828763.
6. ^ Razzolini, Laura; Shughart, William F. II; Tollison, Robert D. (2003). "On the Third Law of Demand". Economic Inquiry. 41 (2): 292–298. doi:10.1093/ei/cbg008.

## Further reading

• Ekelund, Robert B. (1992). "The Union Blockade and Demoralization of the South: Relative Prices in the Confederacy". Social Science Quarterly. 73 (4): 890–902.