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Suppose a town only has two petrol stations, United and BP. Each could choose to charge a high price or low price, as shown in

Suppose a town only has two petrol stations, United and BP. Each could choose to charge a high price or low price, as shown in the matrix below.

BP

BP charges a low price:

BP charges a high price:

United

United charges a low price:

BP has low profit;

United has low profit

BP has no profit;

United has high profit

United charges a high price:

BP has high profit;

United has no profit

BP has average profit;

United has average profit

(a) What is the dominant strategy (i.e. a Nash equilibrium) for the above matrix? Explain briefly.

(b) If the two petrol stations could collude, what would be the likely strategy? Explain briefly.

(c) (This sub-question is not related to the above questions.) Briefly explain the principles of the 'kinked' demand curve by using an example such as pricing a product by the two supermarket giants.

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