The encyclical letter Laudato Si is available here on the Vatican website. Subsidiarity is not just local control, but appropriate levels of responsibility for each person:
196. What happens with politics? Let us keep in mind the principle of subsidiarity, which grants freedom to develop the capabilities present at every level of society, while also demanding a greater sense of responsibility for the common good from those who wield greater power. Today, it is the case that some economic sectors exercise more power than states themselves. But economics without politics cannot be justified, since this would make it impossible to favor other ways of handling the various aspects of the present crisis. The mindset which leaves no room for sincere concern for the environment is the same mindset which lacks concern for the inclusion of the most vulnerable members of society. For “the current model, with its emphasis on success and self-reliance, does not appear to favor an investment in efforts to help the slow, the weak or the less talented to find opportunities in life”.[Evangelii Gaudium 209]
I’ll comment that the current model reduces humankind to an animal state, in which the fittest are assured to thrive, and the neediest are deemed unfit to survive. That would seen to back human beings out of a state of a special creation of God, and backward into barbarism.