I saw the word, ‘Oxbridge’, a portmanteau of Oxford and Cambridge, in a comment to a question asking for a better word for ‘invigilator’:
Whereas the situation is reversed in the UK, and one in a thousand would recognize proctor -- although even the one in a thousand would be the one who went to Oxbridge and would give it a different meaning altogether.
We have the abbreviation “東大一ツ橋” (Todaihitotsubashi) combining the names of Tokyo University and Hitotsubashi University, both national universities, as a symbolic phrase of elitist schools, though I don’t know why Hitotsubashi University singly skewed to economics was paired to Tokyo University out of 783 universities and colleges (in 2012) in Japan.
In the sports area, we have the word “早慶” (Sohkei), an abbreviated combination of Waseda University and Keio University, both private universities excelling in baseball, rugby, soccer and many other sports, as well as in academic achievement.
Is there an American counterpart of “Oxbridge”, “Sohkei” and “Todaihitotsubashi,” or does “Yale-Harvard” suffice?