We model non-drastic technological innovation in a duopoly model with differentiated products. We derive profit functions for both firms which depend on only one variable, the technological gap. As our model derives product demands directly from agent utility we are able to fully describe the welfare effects of innovation. We show that the welfare improvements from innovation come not only as firms accrue higher profits, by charging consumers higher prices, but also as consumers enjoy higher quality products.
Jackson, Jeremy Jay and Smith, Jason, "A framework for non-drastic innovation with product differentiation" (2015). Economics and Finance Faculty Publications. Paper 915.