Quantity Competition in a Differentiated Duopoly

In this paper, we consider a Stackelberg duopoly competition with differentiated goods, linear and symmetric demand and with unknown costs. In our model, the two firms play a non-cooperative game with two stages: in a first stage, firm F 1 chooses the quantity, q 1, that is going to produce; in the...

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Bibliographic Details
Main Author: Fernanda A. Ferreira (author)
Other Authors: Flávio Ferreira (author), Miguel Ferreira (author), Alberto A. Pinto (author)
Format: book
Language:eng
Published: 2009
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/91369
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/91369
Description
Summary:In this paper, we consider a Stackelberg duopoly competition with differentiated goods, linear and symmetric demand and with unknown costs. In our model, the two firms play a non-cooperative game with two stages: in a first stage, firm F 1 chooses the quantity, q 1, that is going to produce; in the second stage, firm F 2 observes the quantity q 1 produced by firm F 1 and chooses its own quantity q 2. Firms choose their output levels in order to maximise their profits. We suppose that each firm has two different technologies, and uses one of them following a certain probability distribution. The use of either one or the other technology affects the unitary production cost. We show that there is exactly one perfect Bayesian equilibrium for this game. We analyse the variations of the expected profits with the parameters of the model, namely with the parameters of the probability distributions, and with the parameters of the demand and differentiation.