How does game theory help us understand the behaviour of a cartel?

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Aziz Opeloyeru

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How does game theory help us understand the behaviour of a cartel?

 In this essay we shall examine the behavioural patterns of cartels and how it tallies with that of game theory. We will be assessing the situation where oligopolists have to try to second guess their rivals moves to determine their own best action. The study of how such interdependent decisions are made is known as Game Theory. The number of firms in an oligopolistic market is small, each firm must act strategically. Each firm knows that its profits depend on both what they produce and what other firms produce as well. Therefore, when making any decision about production, the firm has to consider the production decisions of the others firms (Mankiw, N.G. page 358).

Game theory applies when the bodies which are competing in the market-place exhibit interdependent behaviour. This means that for each one, the actions of the other will have an impact on the decisions taken. For example, if one business decides to cut prices, its competitor may follow suit. Game theory can be applied in a range of situations, whether the businesses are competing or colluding with each other, and whether there are gainers and losers or all may gain together. Players are considered to be rational if they maximise their objective functions given their beliefs about the environment. According to the players, the environment has to oblige to:

(1) The conditions under which an interaction takes place  

(2) The state of information of the players

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(3) The motivation of the participating individuals.

                                                                                             (Eichberger, J. page1)

The easiest way for firms to make sure that they will all maintain their joint profit maximising output is to make an explicit agreement to do so. Such collusive agreements have occurred in the past although they have been illegal for a ...

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