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Arrow–Debreu model
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=== Uzawa equivalence theorem === ([[Hirofumi Uzawa|Uzawa]], 1962)<ref>{{Cite journal |last=Uzawa |first=Hirofumi |date=1962 |title=Walras' Existence Theorem and Brouwer's Fixed-Point Theorem |url=https://www.jstage.jst.go.jp/article/economics1950/13/1/13_1_59/_article/-char/ja/ |journal=季刊 理論経済学 |volume=13 |issue=1 |pages=59–62 |doi=10.11398/economics1950.13.1_59}}</ref> showed that the existence of general equilibrium in an economy characterized by a continuous excess demand function fulfilling Walras's Law is equivalent to Brouwer fixed-Point theorem. Thus, the use of Brouwer's fixed-point theorem is essential for showing that the equilibrium exists in general.<ref>(Starr 2011), Section 18.4</ref>
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