So far Noble Prize in economics has been awarded 47 times to 76 Laureates between 1969 and 2015.
In 1981 Noble Prize was given to James Tobin for his analysis of financial markets and their relations to expenditure decisions, employment, production and prices.
In 2015 Noble Prize was given to Angus Deaton for his analysis of consumption, poverty, and welfare
The winner of Nobel Prize that deal with unemployment directly was:in 1981 James Tobin of the United States "for his analysis of financial markets and their relations to expenditure decisions, employment, production and price."
William Vickrey was a Nobelist in Economics who had a very strong commitment to full-employment.
See
Warner, Aaron W.; Forstater, Mathew; Rosen, Sumner M. (editors) (2000). Commitment to Full Employment: The Economics and Social Policy of William S. Vickrey. Armonk, N.Y: M.E. Sharpe. ISBN 0-7656-0633-X.
Pavlina R. Tcherneva; Forstater, Mathew (2004). Full Employment and Price Stability: The Macroeconomic Vision of William S. Vickrey. Edward Elgar Publishing. ISBN 1-84376-409-1.