But whether you have good grounds to complain depends on why somebody else was chosen instead of you. If the coach tells you that your competitor is more likely to help the team win, her decision is justified by the purpose of this particular social institution. If, on the other hand, the coach tells you that she picked your competitor because he offered more money to be on the team, comes from a family with the right connections, or happens to have the right skin color, you have good reason to feel wronged.
Except where there are so many qualified applicants. Perhaps Mounk would support a lottery process. But I do think allowing people to make selections for other reasons is not fair to the applicants but a reward to the administrators