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Cournot-style oligopoly The political authorities of Borduria and .pdf

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Cournot-style oligopoly The political authorities of Borduria and Syldavia decide to open up their market for transport, which until then had been governed by a monopoly. The monopolies of these two countries find themselves in competition on a single common market (we will assume that the costs of entering this market are too high for producers other than these two companies have an interest in entering it). The preferences of consumers in these two countries for transport services are identical and the aggregate demand function is: yD(p) = 8 p, with p, the transport price. The cost functions of monopolies B and S are: CTB(y) = 1 /2 y2 and CTS(y) = 1 4 /y2 . It is assumed that neither firm has a strategic advantage over the other. 1. Determine the reaction functions of these two firms. 2. Calculate the quantities produced, the selling price and the profits of the two firms at equilibrium. 3. Represent this balance graphically. 4. Calculate the total amount of transport in this duopoly situation. Deduct the surplus that the consumers of this market as well as the collective surplus..

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Cournot-style oligopoly The political authorities of Borduria and Syldavia decide to open up their market for transport, which until then had been governed by a monopoly. The monopolies of these two countries find themselves in competition on a single common market (we will assume that the costs of entering this market are too high for producers other than these two companies have an interest in entering it). The preferences of consumers in these two countries for transport services are identical and the aggregate demand function is: yD(p) = 8 p, with p, the transport price. The cost functions of monopolies B and S are: CTB(y) = 1 /2 y2 and CTS(y) = 1 4 /y2 . It is assumed that neither firm has a strategic advantage over the other. 1. Determine the reaction functions of these two firms. 2. Calculate the quantities produced, the selling price and the profits of the two firms at equilibrium. 3. Represent this balance graphically. 4. Calculate the total amount of transport in this duopoly situation. Deduct the surplus that the consumers of this market as well as the collective surplus.

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  • 1. Cournot-style oligopoly The political authorities of Borduria and Syldavia decide to open up their market for transport, which until then had been governed by a monopoly. The monopolies of these two countries find themselves in competition on a single common market (we will assume that the costs of entering this market are too high for producers other than these two companies have an interest in entering it). The preferences of consumers in these two countries for transport services are identical and the aggregate demand function is: yD(p) = 8 p, with p, the transport price. The cost functions of monopolies B and S are: CTB(y) = 1 /2 y2 and CTS(y) = 1 4 /y2 . It is assumed that neither firm has a strategic advantage over the other. 1. Determine the reaction functions of these two firms. 2. Calculate the quantities produced, the selling price and the profits of the two firms at equilibrium. 3. Represent this balance graphically. 4. Calculate the total amount of transport in this duopoly situation. Deduct the surplus that the consumers of this market as well as the collective surplus.