We study the investment decision problem of a duopoly with price competition on a market of finite size driven by stochastic taste shocks. Each player has the choice between two technologies: a large unit and a small one. We prove that different equilibria may exist depending on the parameters' values: simultaneous investment equilibrium in the small unit or two mixed strategy equilibria, one in which each firm invests in the large unit with a strictly positive intensity and another one in which each firm invests with a strictly positive intensity in the small unit and in the large unit. The inaction regions where both technologies provide expected net payoffs that are too similar do not survive the introduction of preemption. Moreover, we prove that for some values of the demand, the preemption equilibrium is more efficient than the joint adoption equilibrium.