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Debreu, Gérard

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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: 44 Publications since 1951, including 4 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 3,041 times in 2,413 Documents Cited by Year
Theory of value. An axiomatic analysis of economic equilibrium. Zbl 0193.20205
Debreu, G.
646
1959
Existence of an equilibrium for a competitive economy. Zbl 0055.38007
Arrow, Kenneth J.; Debreu, Gerard
435
1954
A social equilibrium existence theorem. Zbl 0047.38804
Debreu, Gerard
284
1952
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
192
1963
The coefficient of resource utilization. Zbl 0045.41404
Debreu, Gerard
182
1951
Economies with a finite set of equilibria. Zbl 0253.90009
Debreu, Gerard
177
1970
Continuity properties of Paretian utility. Zbl 0138.16301
Debreu, G.
148
1964
Smooth preferences. Zbl 0258.90007
Debreu, Gerard
135
1972
Integration of correspondences. Zbl 0211.52803
Debreu, G.
118
1967
Representation of a preference ordering by a numerical function. Zbl 0058.13803
Debreu, Gerard
107
1954
Valuation equilibrium and Pareto optimum. Zbl 0055.38006
Debreu, Gerard
84
1954
Excess demand functions. Zbl 0283.90005
Debreu, Gerard
81
1974
Topological methods in cardinal utility theory. Zbl 0249.90005
Debreu, Gerard
65
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.
40
1953
Stochastic choice and cardinal utility. Zbl 0103.13006
Debreu, Gerard
29
1958
Existence of competitive equilibrium. Zbl 0522.90014
Debreu, Gerard
27
1982
Least concave utility functions. Zbl 0361.90007
Debreu, Gerard
26
1976
Market equilibrium. Zbl 0072.37405
Debreu, Gerard
25
1956
Additively decomposed quasiconvex functions. Zbl 0495.90063
Debreu, Gerard; Koopmans, Tjalling C.
23
1982
Smooth preferences: A corrigendum. Zbl 0333.90001
Debreu, Gerard
22
1976
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
12
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
6
1983
A classical tax-subsidy problem. Zbl 0059.13801
Debreu, Gerard
4
1954
Economic theory in the mathematical mode. Zbl 0559.90008
Debreu, Gerard
1
1984
On ”An identity in arithmetic”. Zbl 0092.25502
Debreu, Gerard
1
1960
On the preference characterization of additively separable utility. Zbl 0893.90018
Debreu, Gerard
1
1997
Economic equilibrium. Zbl 0186.25402
Debreu, G.
1
1969
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
6
1983
Existence of competitive equilibrium. Zbl 0522.90014
Debreu, Gerard
27
1982
Additively decomposed quasiconvex functions. Zbl 0495.90063
Debreu, Gerard; Koopmans, Tjalling C.
23
1982
Least concave utility functions. Zbl 0361.90007
Debreu, Gerard
26
1976
Smooth preferences: A corrigendum. Zbl 0333.90001
Debreu, Gerard
22
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
81
1974
Smooth preferences. Zbl 0258.90007
Debreu, Gerard
135
1972
The Radon-Nikodym derivative of a correspondence. Zbl 0263.28004
Debreu, Gerard; Schmeidler, David
12
1972
Economies with a finite set of equilibria. Zbl 0253.90009
Debreu, Gerard
177
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.
118
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.
148
1964
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
192
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
65
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.
646
1959
Stochastic choice and cardinal utility. Zbl 0103.13006
Debreu, Gerard
29
1958
Market equilibrium. Zbl 0072.37405
Debreu, Gerard
25
1956
Existence of an equilibrium for a competitive economy. Zbl 0055.38007
Arrow, Kenneth J.; Debreu, Gerard
435
1954
Representation of a preference ordering by a numerical function. Zbl 0058.13803
Debreu, Gerard
107
1954
Valuation equilibrium and Pareto optimum. Zbl 0055.38006
Debreu, Gerard
84
1954
A classical tax-subsidy problem. Zbl 0059.13801
Debreu, Gerard
4
1954
Nonnegative square matrices. Zbl 0051.00901
Debreu, Gerard; Herstein, I. N.
40
1953
A social equilibrium existence theorem. Zbl 0047.38804
Debreu, Gerard
284
1952
Definite and semidefinite quadratic forms. Zbl 0046.24401
Debreu, Gerard
54
1952
The coefficient of resource utilization. Zbl 0045.41404
Debreu, Gerard
182
1951
all top 5

Cited by 2,351 Authors

26 Yannelis, Nicholas C.
23 Induráin, Esteban
23 Wooders, Myrna Holtz
22 Chichilnisky, Graciela
20 Bonnisseau, Jean-Marc
20 Candeal, Juan Carlos
20 Mas-Colell, Andreu
19 Balasko, Yves
19 Khan, Mohammed Ali
19 Simar, Léopold
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 Bosi, Gianni
12 Cornet, Bernard
12 Hervés-Beloso, Carlos
12 Zhang, Liwei
11 Florenzano, Monique
11 Herings, P. Jean-Jacques
11 Tourky, Rabee
10 Smale, Steve
9 Allouch, Nizar
9 Aparicio, Juan Pablo
9 Campión, María Jesús
9 Crouzeix, Jean-Pierre
9 Dubey, Pradeep K.
9 Färe, Rolf
9 Kannai, Yakar
9 Knoblauch, Vicki
9 Le Van, Cuong
9 Martins-da-Rocha, V. Filipe
9 Morgan, Jacqueline
9 Pastor, Jesús T.
9 Patriche, Monica
9 Sun, Yeneng
8 Allen, Beth
8 Bridges, Douglas Suth
8 Briec, Walter
8 Fishburn, Peter Clingerman
8 Gil, María Angeles
8 Graziano, Maria Gabriella
8 Haller, Hans H.
8 Jouini, Elyès
8 Magill, Michael J. P.
8 Moreno-García, Emma
8 Park, Choonkil
8 Vitanza, Carmela
8 Vohra, Rajiv
8 Yuan, George Xian-Zhi
8 Zelenyuk, Valentin
7 Basile, Achille
7 Chateauneuf, Alain
7 Diewert, Walter Erwin
7 Estevan, Asier
7 Inoue, Tomoki
7 Jofré, Alejandro
7 Kehoe, Timothy J.
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 Wilson, Paul W.
7 Ye, Yinyu
6 Alcantud, José Carlos Rodríguez
6 Ansari, Qamrul Hasan
6 Beardon, Alan Frank
6 Burkinshaw, Owen
6 Correia-da-Silva, João
6 Deng, Xiao-Tie
6 Dinh The Luc
6 Drèze, Jacques H.
6 Ekeland, Ivar
6 Flåm, Sjur Didrik
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
6 Scalzo, Vincenzo
6 Shell, Karl
...and 2,251 more Authors
all top 5

Cited in 269 Serials

442 Journal of Mathematical Economics
315 Journal of Economic Theory
123 Economic Theory
110 European Journal of Operational Research
92 Mathematical Social Sciences
78 Journal of Mathematical Analysis and Applications
64 Journal of Optimization Theory and Applications
57 Economics Letters
48 Fuzzy Sets and Systems
45 Games and Economic Behavior
36 Social Choice and Welfare
35 Theory and Decision
30 International Journal of Game Theory
29 Journal of Economic Dynamics & Control
29 Annals of Operations Research
28 Journal of Mathematical Psychology
24 Optimization
24 Mathematical Programming. Series A. Series B
22 Journal of Global Optimization
21 Journal of Econometrics
19 Metroeconomica
17 Zeitschrift für Nationalökonomie
16 Information Sciences
15 Mathematical Programming
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Journal of Economics
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 Operations Research
8 Journal of Mathematical Sciences (New York)
8 Fixed Point Theory and Applications
8 Optimization Letters
8 Set-Valued and Variational Analysis
8 Nonlinear Analysis. Theory, Methods & Applications
7 Synthese
7 Transactions of the American Mathematical Society
7 Applied Mathematics Letters
7 Optimization Methods & Software
7 Decisions in Economics and Finance
6 SIAM Journal on Optimization
6 Abstract and Applied Analysis
6 Journal of Inequalities and Applications
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 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 Physica A
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 Natural Resource Modeling
4 Networks and Spatial Economics
4 New Mathematics and Natural Computation
4 Annals of Finance
3 International Journal of Systems Science
3 Journal of Statistical Physics
3 Journal of Computer and System Sciences
3 Kybernetes
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 Econometric Reviews
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)
3 Journal of Convex Analysis
3 Positivity
3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
3 Journal of Systems Science and Complexity
3 ASTIN Bulletin
3 4OR
3 Games
...and 169 more Serials
all top 5

Cited in 50 Fields

1,944 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
426 Operations research, mathematical programming (90-XX)
124 Calculus of variations and optimal control; optimization (49-XX)
122 General topology (54-XX)
101 Statistics (62-XX)
78 Probability theory and stochastic processes (60-XX)
77 Operator theory (47-XX)
64 Mathematical logic and foundations (03-XX)
60 Measure and integration (28-XX)
55 Functional analysis (46-XX)
54 Numerical analysis (65-XX)
47 Computer science (68-XX)
45 Order, lattices, ordered algebraic structures (06-XX)
35 Real functions (26-XX)
31 Global analysis, analysis on manifolds (58-XX)
30 Systems theory; control (93-XX)
25 Convex and discrete geometry (52-XX)
18 Difference and functional equations (39-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 History and biography (01-XX)
14 Ordinary differential equations (34-XX)
12 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)
7 Manifolds and cell complexes (57-XX)
6 Quantum theory (81-XX)
5 Combinatorics (05-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Partial differential equations (35-XX)
4 Mechanics of particles and systems (70-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Approximations and expansions (41-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Differential geometry (53-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-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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