Dynamic pricing, product and process innovation

► We study dynamic pricing, product and process innovation. ► Under additive separable demand: price increases with quality and cost. ► Product and process innovation impact the pricing policy. ► Under multiplicative separable demand: price only increases with cost. ► Process innovation is the main determinant of the pricing policy. The question of simultaneous dynamic pricing, product and process investment policies is crucial for manufacturing and high-tech industries. This paper models these policies in an optimal control setting. On the supply side, the firm sets prices, product and process investment levels over time. On the demand side, current demand depends on price and quality. Under an additive separable demand function, dynamic pricing increases with quality and cost. Therefore, both product innovation and process innovation impact the pricing policy. Under a multiplicative separable demand function, dynamic pricing policy follows the dynamic of production cost and is independent of the evolution of product quality. Thus, process innovation is the main determinant of a firm’s pricing policy over time and product innovation has no impact.