Concepedia

Existence Theorems

Existence Theorems is a mathematical concept in Mathematical Economics that belongs to the class of theoretical results establishing the conditions under which solutions to economic models are guaranteed to exist, distinguished by their focus on proving the mere possibility of equilibrium, optima, or strategic outcomes without necessarily constructing them explicitly.

5.3K

Publications

253.3K

Citations

6.3K

Authors

2K

Institutions

Publications per year

2017–2026

482

Parents

Children

Publications

5.3K

Existence of an Equilibrium for a Competitive Economy

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

, , +12

Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions

Mark A. Satterthwaite · Journal of Economic Theory · 1975 · 2.9K citations

, , +13

Convexity conditions and existence theorems in nonlinear elasticity

J. M. Ball · Archive for Rational Mechanics and Analysis · 1976 · 2.4K citations

, , +15

Lectu re Notes in Economics and Mathematical Systems

Martin J. Beckmann, H. P. Kunzi · 1975 · 2.4K citations

, , +11

Fundamental methods of mathematical economics

Journal of Macroeconomics · 1984 · 1.6K citations

, , +12

1–5 of 5.3K

Authors

6.3K

  1. DO
    Donal O’Regan

    Ollscoil na Gaillimhe – University of Galway, Ireland

    39 publications · 1.2K citations

    21

    h-index

  2. MB
    Mouffak Benchohra

    Université Djilali de Sidi Bel Abbès, Algeria

    24 publications · 1.5K citations

    17

    h-index

  3. SK
    Sotiris K. Ntouyas

    University of Ioannina, Greece

    20 publications · 545 citations

    16

    h-index

  4. NH
    Nan‐jing Huang

    Sichuan University, China

    23 publications · 549 citations

    16

    h-index

  5. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    18 publications · 871 citations

    15

    h-index

1–5 of 6.3K

Institutions

2K

  1. Centre National de la Recherche Scientifique

    Paris, France

    28 h-index

    106 publications

    3.1K citations

  2. University of California, Berkeley

    Berkeley, United States

    26 h-index

    50 publications

    3.7K citations

  3. University of Minnesota

    Minneapolis, United States

    25 h-index

    45 publications

    4.6K citations

  4. Stanford University

    Stanford, United States

    25 h-index

    43 publications

    2.3K citations

  5. King Abdulaziz University

    Jeddah, Saudi Arabia

    22 h-index

    84 publications

    2.1K citations

  6. University of Michigan

    Ann Arbor, United States

    21 h-index

    45 publications

    1.5K citations

  7. Université Paris Cité

    Paris, France

    21 h-index

    45 publications

    2.4K citations

  8. Northwestern University

    Evanston, United States

    20 h-index

    34 publications

    4.7K citations

1–8 of 2K

Venues

  1. Journal of Mathematical Analysis and Applications

    201 publications · 10.7K citations

    49

    h-index

  2. Journal of Differential Equations

    119 publications · 6.4K citations

    44

    h-index

  3. Nonlinear Analysis

    179 publications · 7.1K citations

    43

    h-index

  4. Econometrica

    73 publications · 12.5K citations

    43

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 133 publications · 6.6K citations

    42

    h-index

1–5