Document Type : Article
Department of Industrial Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran
This research proposes a model that calculates the customer lifetime value and simultaneously considers the network effects. An oligopoly market is also considered in which companies compete with each other. Each company has a number of buyers and sellers and offers its services to the buyers free while receiving the sellers' membership fees in return. Interestingly, the customers interact with each other and change the companies' clients. This interaction between them is known as word-of-mouth marketing, and it also exists among the sellers. It is noteworthy that the existence of both buyers and sellers is only meaningful. Indeed, the increase of buyers leads to a rise in the number of sellers and also makes the company more profitable. In fact, the network effects are categorized into four forms that are as follows: (1) buyers’ effects on each other, (2) sellers’ effects on each other, (3) buyers’ effects on sellers, and (4) sellers’ effects on their buyers. These effects are the main factors that the companies tend to take into consideration when determining the optimal marketing and pricing policies. Applying differential game theory makes it possible to receive the companies' market share, advertising, and pricing strategy.