Miles Kimball wrote,
Given the replication argument, there is no scale of operation that is beyond efficient scale. There may be ample reason to make different plants or divisions quasi-independent so they do not interfere with one another’s operations. But that is not an argument against scale per se. There may even be reason to set up incentives so that different divisions are almost like separate firms, headed by someone in an entrepreneurlike position. But that still is not, properly speaking, an example of diseconomies of scale.
Read the whole post.
So what are we to make of this?
1. For the economy as a whole, the law of diminishing returns applies. You cannot grow all the world’s wheat in a single flower pot.
2. But the size of any one farm is not limited to a single flower pot. Any one farm can keep adding land (until it gets to be large relative to the earth’s arable land).
3. Kimball sees the assumption of diminishing returns at the firm level as a staple of standard pedagogy. But it is more than that. Dropping that assumption takes you away from the perfectly competitive equilibrium, as Kimball spells out in his important follow-up.
4. What about the notion that the entrepreneur’s time or skill is a fixed factor? This appears to be a way to show that firm size must be limited. But it also is like question-begging or hand-waving. If you start with a traditional production function, with output a function of the two factors of homogeneous labor and homogeneous capital, then you have a hard time rationalizing diseconomies of scale until the firm gets to be really big relative to the whole market. So you tack on a fixed factor, and call it “entrepreneur’s time.” But the original production function assumed away the entrepreneur to begin with, and you never did spell out the entrepreneur’s role in that context.
5. Kimball’s approach in the second post consists of postulating a demand curve and zero profits and solving for firm size. That also strikes me as hand-waving, with math. Call it math-waving.
6. Think of a real-world example of monopolistic competition. I like to use ethnic restaurants in Wheaton, Maryland, near where I live. What stops a single owner from taking over multiple restaurants under the auspices of one firm? What stops an owner from then expanding to other locations far away, where the local demand curve is not a limiting factor?
7. When you do this thought experiment, you realize that firm size is not determined by the tangible variables that are central to neoclassical economics. Instead, you have to turn to principal-agent problems and whatever else might help deal with the “boundary of the firm” problem that has been articulated but not necessarily solved in a satisfactory way by Coase, Williamson, and Alchian and Demsetz.
8. Why are farms in two different states separate businesses? I would say that it is because it is costly for the Iowa farmer to observe the Kansas farmer’s effort, giving rise to a principal-agent problem. This may turn out to be a testable hypothesis. It predicts that as the cost of monitoring goes down (because of cheaper surveillance technology), we will see mergers take place that would have been unthinkable until recently.
9. This year, Amazon bought Whole Foods. Where does it stop? Where are the diseconomies (of scope, if not of scale)? Suppose that in order not to incur management costs, Amazon leaves Whole Foods executives in place and adopts a hands-off approach. Then from the point of view of somebody who owned shares in both firms, the merger only changed the form of ownership. You used to own a sort of mutual fund, and it was your choice how to weight the shares of Amazon and the shares of Whole Foods in that fund. Now you own shares in a conglomerate, with the weight fixed–you can no longer simultaneously reduce your holdings of Whole Foods while increasing your holdings of Amazon.
10. From the foregoing, it would appear that shareholders always lose in a merger, because they lose the option to alter the weights of their holdings. In fact, mergers have other effects, but they involve those intangible “boundaries of the firm” phenomena.
11. Suppose that a major element in a corporate merger is ego. The CEO of the company being acquired gives up status but gains wealth for the firm’s shareholders. The CEO of the acquiring firm does the opposite. The ego hypothesis predicts that immediately after the merger the acquiring firm will not give the post of CEO to someone from the acquired firm. It also predicts that the merger will be positive for the shareholders of the acquired firm but not for those of the acquiring firm. I haven’t kept up with the literature, but it used to be that those predictions held up.
12. In conclusion, the attempt to rationalize diminishing returns at the level of a firm in neoclassical economics opens up a can of worms, and Kimball’s math-waving with the demand curve does not close it.