Unlike all of its peer schools on that list, Yale has no Nobel prizewinners in Economics on its faculty at the current time. The legendary James Tobin, who passed away about 10 years ago, was Yale's last faculty Nobel prizewinner in this field. Many of Yale's peers have several Nobel winners among their Econ faculty, by contrast.
William Nordhaus, a Yale faculty member for like 50 years, is often on the unofficial Nobel "short list" that circulates among folks in this profession around Nobel season -- generally for his work in "green accounting."
Yale was the undergraduate home for a number of the country's leading economists today -- Paul Krugman (Princeton) and Ken Rogoff (Harvard) come to mind here.
The first Nobel prize in Economics awarded to an American was awarded to Yale's Irving Fisher, I believe. He is certainly a leading candidate for the most influential American-born economist -- bigger even than Milton Friedman. Keynes called him the only person in America worth talking to back in the day .....