An Uncertain Multi-Oligopoly Model of Bertrand Type

摘要

When launching a new product to the market, in order to get the maximal profit, it is quite important to decide its selling price. This paper introduces a new multioligopoly model, in which the market price of a product is assumed to be an uncertain variable since it is lack of the historical data. Expected value operator and optimistic value approach are used to deal with the uncertainty in the model. Then, the optimal selling prices and the maximal profits for new products and existing products are obtained based on the proposed model. Compared with the classical multi-oligopoly model by a numerical example, it is obvious that the results in our proposed model are more reasonable.