On the existence of equilibria in economies with infinitely many commodities and without ordered preferences

Topological Vector Spaces.

M. S. Ramanujan, Helmut Schaefer · American Mathematical Monthly · 1967 · 4K citations

Natural Sciences, Mathematics, Geometry +7

Existence of an Equilibrium for a Competitive Economy

Kenneth J. Arrow, Gérard Debreu · Econometrica · 1954 · 3.9K citations

Social Sciences, Business Economics, Economics +12

Linear Operators. Part I: General Theory.

Paul Civin, Nelson Dunford, J. T. Schwartz · American Mathematical Monthly · 1960 · 2.8K citations

Natural Sciences, Mathematics, Algebra +11

A Social Equilibrium Existence Theorem*

Gérard Debreu · Proceedings of the National Academy of Sciences · 1952 · 1.5K citations · Full text

Planning, Infrastructure Planning, Sustainable Development +8

A generalization of Tychonoff's fixed point theorem

Ky Fan · Mathematische Annalen · 1961 · 965 citations

Natural Sciences, Mathematics, Dynamical Systems +5