Scott Alexander in Astral Codex Ten:
The Maharaja of Whereverstan sends his daughter to Harvard so that she appears meritorious. In exchange, Harvard gets the credibility boost of being the place the Maharaja of Whereverstan sent his daughter. And Harvard’s other students get the advantage of networking with the Princess Of Whereverstan. Twenty years later, when one of them is an oil executive and Whereverstan is handing out oil contracts, she puts in a word with her old college buddy the Princess and gets the deal. It’s obvious what the oil executive has gotten out of this, but what does the Princess get? I think she gets the right to say she went to Harvard, an honor which is known to go mostly to the meritorious.
People ask why Harvard admissions can still be bribed or influenced by the rich or well-connected. This is the wrong question: the right question is why they ever give spots based on merit at all. The answer is: otherwise the scheme wouldn’t work. The point of a money-laundering operation is to take in both fairly-earned and dirty money, then mix them together so thoroughly that nobody can tell which is which. Likewise, the point of a privilege-laundering operation is to take in both fairly-earned and dirty privilege, then stamp both with a Harvard degree.
More here.