Use of the previous game matrices assumes that both players in the game make simul-
taneous choices. Many games involve a series of stages where one player moves first. The
second player observes the choice made by the first and then reacts to it. These sequential
games are typically seen as a game tree rather than a game matrix.
Let’s convert the previous game to a sequential game where gas station X gets to move
first, as shown in Figure 9.16. Station Y sees the choice of station X and then sets the price
high or low. Payoffs are given at the end of the tree.
136 › Step 4. Review the Knowledge You Need to Score High
X sets
price
High
Low
Y now
sets price High
Low
Low
High
X: $2,000
Y: $2,000
X: $500
Y: $3,000
X: $3,000
Y: $500
X: $1,000
Y: $1,000
Figure 9.16
Can you see how this game will play out? Gas station X knows that its rival, station Y,
still has a dominant strategy of setting a low price. No matter what the initial decision of
station X, station Y would always see that a low price beats a high price. Because station X
knows this about its rival, it will select a low price at the beginning of the game. In 2007,
the AP Microeconomics exam included simple game theory on the free-response section for
the very first time. You should expect this area of microeconomics to be tested again in the
future, and I predict that the degree of difficulty will gradually increase.
Collusive Pricing
Explicit collusivebehavior between direct competitors is an illegal business practice, but it
does happen (surprise!) from time to time. More common is a kind of tacit, or understood,
collusion. Two competitors over time figure out that repeated attempts to undercut the
price of their rivals is counterproductive. Eventually they understand that if both set the
price high, both firms win. When one cheats on this “understanding,” the other inflicts
punishment with a retaliatory price cut.
Cartelsare more organized forms of collusive oligopoly behavior. Cartels are groups of
firms that create a formal agreement not to compete with each other on the basis of price,
production, or other competitive dimensions. The general idea of the cartel is that rather than
act independently to maximize individual profits, they collectively operate as a monopolist to
maximize their joint profits. Each cartel member agrees to a limited level of output, and this
results in a higher cartel price. Joint profits are maximized and distributed to each member.
In addition to the pesky illegality of forming cartels, these entities face three challenges
that are completely unrelated to the Attorney General:
- Difficulty in arriving at a mutually acceptable agreement to restrict output. Have you
ever tried to order pizza or rent a movie with more than two other friends? If so, you
get the idea.
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