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8 Oligopoly - Luiscabral.net

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demanded, that is, output is perfectly adjusted to the quantity demanded at the prices<br />

(initially) set by firms.<br />

To summarize:<br />

If capacity and output can be adjusted easily, then the Bertrand model describes<br />

duopoly competition better. If output and capacity are difficult to adjust, then the<br />

Cournot model describes duopoly competition better.<br />

Most real-world industries seem closer to the case when capacity is difficult to adjust. In<br />

other words, capacity or output decisions are normally the long-run variable, prices being<br />

set in the short run. Examples include wheat, cement, steel, cars, computers. Consider,<br />

for instance, the market for video-game consoles. On August 1999, Sony cut the price of<br />

its system from $129 to $99. One hour after Sony’s price-change press release, Nintendo<br />

published its own release announcing a price cut to match Sony’s. 9 Aggressive pricing by<br />

Sony and Nintendo boosted demand for their products. In fact, Nintendo suffered severe<br />

shortages during the 1999 holiday season. These events suggest that, in the context of<br />

video-game systems, prices are easier to adjust than quantities. The Cournot model would<br />

then seem a better approximation to the behavior of the industry.<br />

There are, however, situations where capacities — or at least output levels — are adjusted<br />

more rapidly than prices. Examples include software, insurance and banking. A<br />

software company, for example, can easily produce additional copies of its software almost<br />

on demand; sometimes, in fact, it will simply ship a copy electronically. In this sense, the<br />

Bertrand model would provide a better approximation than the Cournot model. k<br />

8.4. The models at work: comparative statics<br />

What is the use of solving models and deriving equilibria? Models are simplified descriptions<br />

of reality, a way of understanding a particular situation. Once we understand how a given<br />

market works, we can use the model to predict how the market will change as a function<br />

of changes in various exogenous conditions, e.g., the price of an input or of a substitute<br />

product. This exercise is known in economics as comparative statics: the meaning of the<br />

expression is that we compare two equilibria, with two sets of exogenous conditions, and<br />

predict how a shift in one variable will influence the other variables. The word “statics”<br />

implies that we are not predicting the dynamic path that takes us from one equilibrium to<br />

the other, but rather answering the question “once all of the adjustments have taken place<br />

and we are back in equilibrium, what will things look like.”<br />

In this section, I look at some examples of how the Cournot and Bertrand models can<br />

be used to perform comparative statics. Some of the practice and challenge exercises at the<br />

end of the chapter, especially Exercise 8.17, take the idea of comparative statics a few steps<br />

further.<br />

Input costs and output price. Suppose the market for transatlantic flights between<br />

London and New York is served by two firms, American Airlines (AA) and British Airways<br />

k. There are, however, other aspects to be taken into account in an industry like software: product<br />

differentiation (cf Chapter 15) and <strong>net</strong>work effects (cf Chapter 18).

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