Competition and open source with perfect software compatibility

In this paper we study duopolistic competition between closed and open source software. Inspired by recent contributions on open source, we propose a two-stage game with perfect information and product differentiation, in which producers first set software quality and then determine prices (the price is zero for open source programs). We assume perfect software compatibility and model lock-in effects, a network externality component of software quality, and accumulation of experience in software use and implementation. In comparison to the monopolistic benchmark case, we argue that, in a duopoly created by the emergence of an open source program, the proprietary software producer will reduce its selling price if: (i) its network of users is larger than the open source network and its consumers are largely familiar with its program, (ii) it has a small network of unskilled consumers. On the other hand, the price of proprietary software will increase if its users form a large, but poorly-skilled network. Furthermore, we show that, in all of the above cases, the hedonic quality of proprietary software increases. Finally, by modeling experience accumulation processes through difference equations, we show that the ratio between the closed and open source programs' opportunity costs for software learning and deployment plays a crucial role in shaping market outcomes. If open source software remains too complex and technical for unskilled or time-pressed users, a shared market solution, in which both programs are adopted, is likely to emerge. However, if opportunity costs in learning and understanding open source programs are particularly low, or at least equal to the opportunity costs of a closed-source program, then open source dominance emerges (i.e. markets tip to open source).