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Author ID: debreu.gerard Recent zbMATH articles by "Debreu, Gérard"
Published as: Debreu, Gerard; Debreu, G.; Debreu, Gérard
Homepage: https://math.berkeley.edu/people/faculty/gerard-debreu
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Nobel Memorial Prize in Economic Sciences (1983)
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 43 Publications since 1951, including 3 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 7 Co-Authors with 8 Joint Publications
144 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 3,183 times in 2,518 Documents Cited by Year
Theory of value. An axiomatic analysis of economic equilibrium. Zbl 0193.20205
Debreu, G.
666
1959
Existence of an equilibrium for a competitive economy. Zbl 0055.38007
Arrow, Kenneth J.; Debreu, Gerard
485
1954
A social equilibrium existence theorem. Zbl 0047.38804
Debreu, Gerard
298
1952
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
196
1963
The coefficient of resource utilization. Zbl 0045.41404
Debreu, Gerard
191
1951
Economies with a finite set of equilibria. Zbl 0253.90009
Debreu, Gerard
182
1970
Continuity properties of Paretian utility. Zbl 0138.16301
Debreu, G.
152
1964
Smooth preferences. Zbl 0258.90007
Debreu, Gerard
140
1972
Integration of correspondences. Zbl 0211.52803
Debreu, G.
119
1967
Representation of a preference ordering by a numerical function. Zbl 0058.13803
Debreu, Gerard
108
1954
Excess demand functions. Zbl 0283.90005
Debreu, Gerard
87
1974
Valuation equilibrium and Pareto optimum. Zbl 0055.38006
Debreu, Gerard
86
1954
Topological methods in cardinal utility theory. Zbl 0249.90005
Debreu, Gerard
67
1960
New concepts and techniques for equilibrium analysis. Zbl 0109.38602
Debreu, G.
55
1962
Definite and semidefinite quadratic forms. Zbl 0046.24401
Debreu, Gerard
54
1952
Nonnegative square matrices. Zbl 0051.00901
Debreu, Gerard; Herstein, I. N.
41
1953
Stochastic choice and cardinal utility. Zbl 0103.13006
Debreu, Gerard
31
1958
Existence of competitive equilibrium. Zbl 0522.90014
Debreu, Gerard
29
1982
Least concave utility functions. Zbl 0361.90007
Debreu, Gerard
28
1976
Market equilibrium. Zbl 0072.37405
Debreu, Gerard
28
1956
Smooth preferences: A corrigendum. Zbl 0333.90001
Debreu, Gerard
23
1976
Additively decomposed quasiconvex functions. Zbl 0495.90063
Debreu, Gerard; Koopmans, Tjalling C.
23
1982
Neighboring economic agents. Zbl 0219.90009
Debreu, Gérard
18
1969
The rate of convergence of the core of an economy. Zbl 0307.90007
Debreu, Gerard
16
1975
The Radon-Nikodym derivative of a correspondence. Zbl 0263.28004
Debreu, Gerard; Schmeidler, David
15
1972
Preference functions on measure spaces of economic agents. Zbl 0183.24402
Debreu, G.
10
1967
Four aspects of the mathematical theory of economic equilibrium. Zbl 0606.90022
Debreu, Gerard
9
1986
Four aspects of the mathematical theory of economic equilibrium. Zbl 0367.90027
Debreu, Gerard
7
1975
Mathematical economics: twenty papers. Introduction by Werner Hildenbrand. Zbl 0526.90003
Debreu, Gerard
7
1983
Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024
Menger, Karl
4
1998
A classical tax-subsidy problem. Zbl 0059.13801
Debreu, Gerard
4
1954
On the preference characterization of additively separable utility. Zbl 0893.90018
Debreu, Gerard
1
1997
Economic theory in the mathematical mode. Zbl 0559.90008
Debreu, Gerard
1
1984
Economic equilibrium. Zbl 0186.25402
Debreu, G.
1
1969
On ”An identity in arithmetic”. Zbl 0092.25502
Debreu, Gerard
1
1960
Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024
Menger, Karl
4
1998
On the preference characterization of additively separable utility. Zbl 0893.90018
Debreu, Gerard
1
1997
Four aspects of the mathematical theory of economic equilibrium. Zbl 0606.90022
Debreu, Gerard
9
1986
Economic theory in the mathematical mode. Zbl 0559.90008
Debreu, Gerard
1
1984
Mathematical economics: twenty papers. Introduction by Werner Hildenbrand. Zbl 0526.90003
Debreu, Gerard
7
1983
Existence of competitive equilibrium. Zbl 0522.90014
Debreu, Gerard
29
1982
Additively decomposed quasiconvex functions. Zbl 0495.90063
Debreu, Gerard; Koopmans, Tjalling C.
23
1982
Least concave utility functions. Zbl 0361.90007
Debreu, Gerard
28
1976
Smooth preferences: A corrigendum. Zbl 0333.90001
Debreu, Gerard
23
1976
The rate of convergence of the core of an economy. Zbl 0307.90007
Debreu, Gerard
16
1975
Four aspects of the mathematical theory of economic equilibrium. Zbl 0367.90027
Debreu, Gerard
7
1975
Excess demand functions. Zbl 0283.90005
Debreu, Gerard
87
1974
Smooth preferences. Zbl 0258.90007
Debreu, Gerard
140
1972
The Radon-Nikodym derivative of a correspondence. Zbl 0263.28004
Debreu, Gerard; Schmeidler, David
15
1972
Economies with a finite set of equilibria. Zbl 0253.90009
Debreu, Gerard
182
1970
Neighboring economic agents. Zbl 0219.90009
Debreu, Gérard
18
1969
Economic equilibrium. Zbl 0186.25402
Debreu, G.
1
1969
Integration of correspondences. Zbl 0211.52803
Debreu, G.
119
1967
Preference functions on measure spaces of economic agents. Zbl 0183.24402
Debreu, G.
10
1967
Continuity properties of Paretian utility. Zbl 0138.16301
Debreu, G.
152
1964
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
196
1963
New concepts and techniques for equilibrium analysis. Zbl 0109.38602
Debreu, G.
55
1962
Topological methods in cardinal utility theory. Zbl 0249.90005
Debreu, Gerard
67
1960
On ”An identity in arithmetic”. Zbl 0092.25502
Debreu, Gerard
1
1960
Theory of value. An axiomatic analysis of economic equilibrium. Zbl 0193.20205
Debreu, G.
666
1959
Stochastic choice and cardinal utility. Zbl 0103.13006
Debreu, Gerard
31
1958
Market equilibrium. Zbl 0072.37405
Debreu, Gerard
28
1956
Existence of an equilibrium for a competitive economy. Zbl 0055.38007
Arrow, Kenneth J.; Debreu, Gerard
485
1954
Representation of a preference ordering by a numerical function. Zbl 0058.13803
Debreu, Gerard
108
1954
Valuation equilibrium and Pareto optimum. Zbl 0055.38006
Debreu, Gerard
86
1954
A classical tax-subsidy problem. Zbl 0059.13801
Debreu, Gerard
4
1954
Nonnegative square matrices. Zbl 0051.00901
Debreu, Gerard; Herstein, I. N.
41
1953
A social equilibrium existence theorem. Zbl 0047.38804
Debreu, Gerard
298
1952
Definite and semidefinite quadratic forms. Zbl 0046.24401
Debreu, Gerard
54
1952
The coefficient of resource utilization. Zbl 0045.41404
Debreu, Gerard
191
1951
all top 5

Cited by 2,494 Authors

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24 Khan, Mohammed Ali
23 Induráin, Esteban
23 Wooders, Myrna Holtz
22 Chichilnisky, Graciela
20 Bonnisseau, Jean-Marc
20 Candeal, Juan Carlos
20 Mas-Colell, Andreu
20 Simar, Léopold
19 Balasko, Yves
18 Herden, Gerhard
17 Aliprantis, Charalambos Dionisios
17 Milasi, Monica
17 Tian, Guoqiang
16 Polemarchakis, Herakles M.
16 Shubik, Martin
14 Kim, Won Kyu
14 Mehta, Ghanshyam Bhagvandas
13 Donato, Maria Bernadette
13 Geanakoplos, John D.
13 Klinger Monteiro, Paulo
13 López-Díaz, Miguel
13 Wakker, Peter Paul
12 Cornet, Bernard
12 Hervés-Beloso, Carlos
12 Zhang, Liwei
11 Bosi, Gianni
11 Florenzano, Monique
11 Herings, P. Jean-Jacques
11 Tourky, Rabee
10 Aparicio, Juan Pablo
10 Crouzeix, Jean-Pierre
10 Knoblauch, Vicki
10 Le Van, Cuong
10 Smale, Steve
9 Allouch, Nizar
9 Campión, María Jesús
9 Dubey, Pradeep K.
9 Färe, Rolf
9 Graziano, Maria Gabriella
9 Haller, Hans H.
9 Kannai, Yakar
9 Martins-da-Rocha, V. Filipe
9 Morgan, Jacqueline
9 Pastor, Jesús T.
9 Patriche, Monica
9 Sun, Yeneng
9 Zelenyuk, Valentin
8 Allen, Beth
8 Bridges, Douglas Suth
8 Briec, Walter
8 Chateauneuf, Alain
8 Deng, Xiao-Tie
8 Diewert, Walter Erwin
8 Fishburn, Peter Clingerman
8 Gil, María Angeles
8 Hosoya, Yuhki
8 Jouini, Elyès
8 Kehoe, Timothy J.
8 Magill, Michael J. P.
8 Moreno-García, Emma
8 Park, Choonkil
8 Vitanza, Carmela
8 Vohra, Rajiv
8 Wilson, Paul W.
8 Yuan, George Xian-Zhi
7 Basile, Achille
7 Estevan, Asier
7 Flåm, Sjur Didrik
7 Inoue, Tomoki
7 Jofré, Alejandro
7 Madan, Dilip B.
7 Ralescu, Dan A.
7 Richter, Marcel K.
7 Ruggiero, John
7 Segal, Uzi
7 Shafer, Wayne J.
7 Trockel, Walter
7 Ye, Yinyu
6 Alcantud, José Carlos Rodríguez
6 Ansari, Qamrul Hasan
6 Beardon, Alan Frank
6 Burkinshaw, Owen
6 Cojocaru, Monica-Gabriela
6 Correia-da-Silva, João
6 Dinh The Luc
6 Drèze, Jacques H.
6 Ekeland, Ivar
6 Ghosal, Sayantan
6 Greenberg, Joseph
6 Kurz, Mordecai
6 Lee, Kyoung Hee
6 Lewis, Alain A.
6 Li, Shoumei
6 Liu, Jiuqiang
6 Mitra, Tapan
6 Ostroy, Joseph M.
6 Page, Frank H. jun.
6 Papadimitriou, Christos Harilaos
6 Penot, Jean-Paul
...and 2,394 more Authors
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Cited in 280 Serials

449 Journal of Mathematical Economics
319 Journal of Economic Theory
136 Economic Theory
114 European Journal of Operational Research
96 Mathematical Social Sciences
78 Journal of Mathematical Analysis and Applications
66 Journal of Optimization Theory and Applications
58 Economics Letters
48 Fuzzy Sets and Systems
48 Games and Economic Behavior
37 Theory and Decision
36 Social Choice and Welfare
33 Annals of Operations Research
30 International Journal of Game Theory
29 Journal of Economic Dynamics & Control
28 Journal of Mathematical Psychology
25 Optimization
25 Mathematical Programming. Series A. Series B
23 Journal of Global Optimization
21 Journal of Econometrics
19 Metroeconomica
17 Zeitschrift für Nationalökonomie
16 Information Sciences
16 Operations Research
16 Journal of Economics
15 Mathematical Programming
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Linear Algebra and its Applications
12 International Game Theory Review
10 Theoretical Computer Science
9 Operations Research Letters
9 Journal of Risk and Uncertainty
9 Applied Mathematical Modelling
9 Computational Optimization and Applications
9 CEJOR. Central European Journal of Operations Research
8 Applied Mathematics and Computation
8 Automatica
8 Journal of Multivariate Analysis
8 Journal of Mathematical Sciences (New York)
8 Journal of Inequalities and Applications
8 Decisions in Economics and Finance
8 Fixed Point Theory and Applications
8 Optimization Letters
8 Set-Valued and Variational Analysis
8 Nonlinear Analysis. Theory, Methods & Applications
7 Physica A
7 Synthese
7 Transactions of the American Mathematical Society
7 Applied Mathematics Letters
7 Optimization Methods & Software
6 SIAM Journal on Optimization
6 Abstract and Applied Analysis
6 Econometric Theory
6 Review of Economic Design
5 Bulletin of the Australian Mathematical Society
5 Computers & Mathematics with Applications
5 Journal of Computational and Applied Mathematics
5 Numerical Functional Analysis and Optimization
5 Statistics & Probability Letters
5 Applied Mathematics and Mechanics. (English Edition)
5 Econometric Reviews
5 Computers & Operations Research
5 Mathematical Finance
5 Quantitative Finance
5 Journal of Industrial and Management Optimization
5 Journal of Fixed Point Theory and Applications
5 Mathematics and Financial Economics
4 Information Processing Letters
4 Mathematics of Operations Research
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Insurance Mathematics & Economics
4 Order
4 Algorithmica
4 Mathematical and Computer Modelling
4 Computational Economics
4 Set-Valued Analysis
4 Top
4 Mathematical Methods of Operations Research
4 Natural Resource Modeling
4 Networks and Spatial Economics
4 New Mathematics and Natural Computation
4 Annals of Finance
4 Journal of Dynamics and Games
3 International Journal of Systems Science
3 Journal of Statistical Physics
3 Chaos, Solitons and Fractals
3 Journal of Computer and System Sciences
3 The Journal of Mathematical Sociology
3 Kybernetes
3 Mathematics and Computers in Simulation
3 Proceedings of the American Mathematical Society
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Topology and its Applications
3 OR Spektrum
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 International Journal of Approximate Reasoning
3 Asia-Pacific Journal of Operational Research
3 Proceedings of the National Academy of Sciences of the United States of America
3 Applied Mathematics. Series B (English Edition)
...and 180 more Serials
all top 5

Cited in 50 Fields

2,037 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
441 Operations research, mathematical programming (90-XX)
127 Calculus of variations and optimal control; optimization (49-XX)
124 General topology (54-XX)
108 Statistics (62-XX)
84 Operator theory (47-XX)
79 Probability theory and stochastic processes (60-XX)
64 Mathematical logic and foundations (03-XX)
61 Measure and integration (28-XX)
58 Numerical analysis (65-XX)
57 Functional analysis (46-XX)
54 Computer science (68-XX)
45 Order, lattices, ordered algebraic structures (06-XX)
37 Real functions (26-XX)
32 Global analysis, analysis on manifolds (58-XX)
30 Systems theory; control (93-XX)
27 Convex and discrete geometry (52-XX)
19 Difference and functional equations (39-XX)
18 History and biography (01-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Ordinary differential equations (34-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Biology and other natural sciences (92-XX)
10 General and overarching topics; collections (00-XX)
9 Algebraic topology (55-XX)
9 Information and communication theory, circuits (94-XX)
8 Manifolds and cell complexes (57-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Quantum theory (81-XX)
5 Combinatorics (05-XX)
5 Partial differential equations (35-XX)
4 Mechanics of particles and systems (70-XX)
4 Mechanics of deformable solids (74-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Approximations and expansions (41-XX)
3 Differential geometry (53-XX)
3 Geophysics (86-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Fluid mechanics (76-XX)

Citations by Year

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