A two-generation new product model by considering forward-looking customers: Dynamic pricing and advertising optimization

Nowadays, one of the challenges of the firm managing multi-generation products is the forward-looking behavior of customers. Anticipating the introduction of a newer generation affects the demand and sales volume of the current generation and next generation. In this research, we investigated how to efficiently structure the pricing and advertising strategies of a firm that launches a two-generation new product to a market populated by forward-looking customers. Two thresholds were determined on the advertising expenditure of Generations 1 and 2. Our analysis proposed that the optimal pricing path of Generation 1 was monotonically decreasing or increasing and, then, decreasing. The optimal pricing of Generation 2 followed a concave curve. A heuristic solution method was proposed to solve the numerical examples. Findings revealed that, with increasing the customers' forward-looking behavior, the firm's profit would decrease. In the presence of forward-looking customers, it is beneficial for the firm to reduce the price of Generation 1 and allocate more budget to advertise Generation 2. Among other results, the advertising expenditure was shown to be positively affected by the number of potential customers and advertising effectiveness. Also, the length of the planning horizon had a negative effect on the advertising expenditure. A higher discount rate could lead to lower price, while higher advertising effectiveness and length of the planning horizon would result in higher price. Further, the results showed that, with increasing the word-of-mouth advertising effectiveness, the firm should increase the advertising expenditure and decrease the price firstly and, afterwards, decrease the advertising effort and increase the price. [Display omitted]