In economics, Brouwer's fixed-point theorem and its extension, the Kakutani fixed-point theorem, play a central role in the proof of existence of general equilibrium in market economies as developed in the 1950s by economics Nobel prize winners Gérard Debreu and Kenneth Arrow.
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He received his B.A. in mathematics from Yale University in 1975 (summa cum laude), and his M.A. in mathematics and his Ph.D. in economics under Kenneth Arrow and Jerry Green from Harvard University in 1980.