In this paper, I create a simulation model that predicts the portfolio of judges the president chooses to fill vacancies in the judiciary. I find that the president’s strategy in terms of appointments depends on constraint from the Senate, the talent pool of possible judges to appoint, the ideology of the courts in the judiciary, and the number of vacancies to be filled. The model is successful in replicating results that have been found in previous research, while also generating new hypotheses about previously unexplored aspects of the appointment process.