Federalist #68 is primarily concerned with which system in the U.S. government?

Federalist #68, authored by Alexander Hamilton, focuses on the system of the Electoral College. In this essay, Hamilton articulates the reasoning behind the establishment of the Electoral College as part of the presidential election process. He emphasizes the importance of having a body of electors who are well-informed and capable of making an educated decision regarding the selection of a president. This design was intended to balance popular influence with a system of checks and balances, taking into account the potential dangers of direct democracy, where the populace could be swayed by passion rather than reason.

Hamilton argues that the Electoral College would prevent any undue influence or corruption, ensuring that the choice of a president remains in the hands of individuals who are knowledgeable and impartial. Therefore, this paper is a foundational discussion on how the nation's leaders believed they could secure the election of a capable executive through the thoughtful design of this electoral mechanism. The other options pertain to different branches of government or legislative bodies that are not the primary focus of Federalist #68, thus highlighting the specific concern of Hamilton regarding the presidential election process through the Electoral College.