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Natural monopoly

Concept in economics

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Through Monopoly, Competition and Oligopoly

Definition

Two different types of cost are important in microeconomics: the marginal cost of serving one more customer and the fixed cost to enter the market. Most industries are not natural monopolies; the marginal cost decreases with economies of scale, then increases as the company approaches maximum output (overworking its employees, bureaucracy, inefficiencies, etc.). This means the average cost the products increases past a certain point. A natural monopoly has a very different cost structure with a high fixed cost but a small and near constant marginal cost.

It is generally believed that there are two reasons for natural monopolies: one is economies of scale, and the other is economies of scope.

All industries have costs associated with entering them. Often, a large portion of these costs is required for investment. Larger industries, like utilities, require an enormous initial investment. This barrier to entry reduces the number of possible entrants into the industry even if established businesses are very profitable. The production cost of an enterprise is not fixed, except for the effect of technology and other factors; even under the same conditions, the unit production cost of an enterprise can decrease as total production rises. The reason is that the actual product of the enterprise as it continues to expand, the original fixed costs are gradually diluted. This is particularly evident in companies with significant fixed-cost investments. Natural monopolies are industries where the largest supplier, often the first established, has an overwhelming cost advantage over competitors. This often occurs in industries with large economies of scale due to high fixed costs, such as water and electricity services. The fixed cost of constructing a competing transmission network is so high, and the marginal cost of transmission for the incumbent so low, that it effectively bars potential competitors from the monopolist's market, acting as a nearly insurmountable barrier to entry into the market place.

Most companies provide a single main good or service, but often diversify their operations. If the cost of having multiple products by one enterprise is lower than making them separately by several enterprises, then there is an economy of scope. Since the unit product price of a company that produces a specific product alone is higher than the corresponding unit product price of a joint production company, the companies that make it separately will lose money. These companies will withdraw from the market or merge, forming a monopoly.

Companies that take advantage of economies of scale often run into problems of bureaucracy; these factors interact to produce an "ideal" size for a company, that minimises the company's average cost of production. A market is a natural monopoly if that ideal size is large enough to supply the whole market.

Once a natural monopoly has been established no firms will attempt to enter the industry and an oligopoly or monopoly develops.

Formal definition

William Baumol (1977) provides the current formal definition of a natural monopoly. He defines a natural monopoly as "[a]n industry in which multi-firm production is more costly than production by a monopoly" (p. 810). Baumol linked the definition to the mathematical concept of subadditivity; specifically, subadditivity of the cost function. Baumol also noted that for a firm producing a single product, scale economies were a sufficient condition but not a necessary condition to prove subadditivity, the argument can be illustrated as follows:

Proposition: Strict economies of scale are sufficient but not necessary for ray average cost to be strictly declining.

Proposition: Strictly declining ray average cost implies strict ray subadditivity.

Proposition: Neither ray concavity nor ray average costs that decline everywhere are necessary for strict subadditivity.

Combining all propositions gives:

Proposition: Global scale economies are sufficient but not necessary for (strict) ray subadditivity, the condition for natural monopoly in the production of a single product or in any bundle of outputs produced in fixed proportions.

Multiproduct case

On the other hand, if firms produce many products scale economies are neither sufficient nor necessary for subadditivity:

Proposition: Strict concavity of a cost function is not sufficient to guarantee subadditivity.

Therefore:

Proposition: Scale economies are neither necessary nor sufficient for subadditivity.

Mathematical notation of subadditivity

A cost function c is subadditive at an output x if c(x)≤c(x1)+c(x2)+...+c(xk) whenever ∑i=1kxi=x. In other words, if all companies have the same production cost function, the one with the better technology should monopolize the entire market such that the total cost is minimized, thus causing natural monopoly due to its technological advantage or condition.

Examples

  1. Railways:
    The costs of laying tracks, building networks, and acquiring trains deters potential competitors. Rail transport also fits other characteristics of a natural monopoly because it is assumed to be an industry with significant long run economies of scale.
  2. Telecommunications and Utilities:
    The costs of building telecommunication poles and growing a cell network would just be too exhausting for other competitors to exist. Electricity requires grids and cables whilst water services and gas both require pipelines whose costs are just too high to be able to have existing competitors in the public market.

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