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Scarf, Herbert E.

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Author ID: scarf.herbert-e Recent zbMATH articles by "Scarf, Herbert E."
Published as: Scarf, Herbert E.; Scarf, Herbert; Scarf, H. E.; Scarf, H.
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 49 Publications since 1952, including 4 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,544 times in 1,328 Documents Cited by Year
On cores and indivisibility. Zbl 0281.90014
Shapley, Lloyd; Scarf, Herbert
262
1974
The core of an N person game. Zbl 0183.24003
Scarf, H. E.
211
1967
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
191
1963
The approximation of fixed points of a continuous mapping. Zbl 0153.49401
Scarf, H.
162
1967
The optimality of (S,s) policies in the dynamic inventory problem. Zbl 0203.22102
Scarf, H.
96
1960
The computation of economic equilibria. With the collaboration of Terje Hansen. Zbl 0311.90009
Scarf, Herbert
87
1973
Studies in the mathematical theory of inventory and production. Zbl 0079.36003
Arrow, Kenneth J.; Karlin, Samuel; Scarf, Herbert; Beckmann, Martin J.; Gessford, John; Muth, Richard F.
77
1958
Some examples of global instability of the competitive equilibrium. Zbl 0096.14204
Scarf, Herbert
72
1960
The solution of systems of piecewise linear equations. Zbl 0458.65056
Eaves, B. Curtis; Scarf, Herbert
52
1976
Bayes solutions of the statistical inventory problem. Zbl 0089.36801
Scarf, Herbert
48
1959
An observation on the structure of production sets with indivisibilities. Zbl 0381.90081
Scarf, Herbert E.
30
1977
Two new proofs of Afriat’s theorem. Zbl 1084.91032
Fostel, A.; Scarf, H. E.; Todd, M. J.
24
2004
Production sets with indivisibilities. Part I: generalities. Zbl 0446.90006
Scarf, Herbert E.
20
1981
The generalized basis reduction algorithm. Zbl 0774.90060
Lovász, László; Scarf, Herbert E.
18
1992
Integral polyhedra in three space. Zbl 0577.90054
Scarf, Herbert E.
16
1985
Neighborhood systems for production sets with indivisibilities. Zbl 0605.90018
Scarf, Herbert E.
14
1986
Some remarks on Bayes solutions to the inventory problem. Zbl 0104.14103
Scarf, Herbert E.
14
1960
Production sets with indivisibilities. Part II: The case of two activities. Zbl 0458.90008
Scarf, Herbert E.
13
1981
A survey of analytic techniques in inventory theory. Zbl 0126.16101
Scarf, H.
13
1963
Approximate solutions to a simple multi-echelon inventory problem. Zbl 0137.38404
Clark, Andrew J.; Scarf, Herbert
13
1962
Mathematical programming and economic theory. Zbl 0703.90067
Scarf, Herbert E.
12
1990
An implementation of the generalized basis reduction algorithm for integer programming. Zbl 0778.90042
Cook, William; Rutherford, Thomas; Scarf, Herbert E.; Shallcross, David
11
1993
Studies in applied probability and management science. Zbl 0116.12003
Arrow, K. J.; Karlin, S.; Scarf, H.
9
1962
The computation of equilibrium prices: An exposition. Zbl 0524.90016
Scarf, Herbert E.
8
1982
The Frobenius problem and maximal lattice free bodies. Zbl 0782.11009
Scarf, Herbert E.; Shallcross, David F.
8
1993
On the applications of a recent combinatorial algorithm. Zbl 0328.90052
Hansen, T.; Scarf, H.
8
1974
Matrices with identical sets of neighbors. Zbl 0977.90023
Bárány, Imre; Scarf, Herbert
7
1998
Notes on the core of a productive economy. Zbl 0666.90017
Scarf, Herbert E.
6
1986
Games with partial information. Zbl 0078.33101
Scarf, H. E.; Shapley, L. S.
6
1957
Inventory theory. Zbl 1163.90347
Scarf, Herbert E.
6
2002
The complex of maximal lattice free simplices. Zbl 0822.90104
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
5
1994
On differential games with survival payoff. Zbl 0078.33205
Scarf, H. E.
5
1957
Multistage inventory models and techniques. Zbl 0197.45904
Scarf, Herbert E. (ed.); Gilford, Dorothy M. (ed.); Shelly, Maynard W. (ed.)
5
1963
The shapes of polyhedra. Zbl 0712.52015
Kannan, Ravi; Lovász, László; Scarf, Herbert E.
4
1990
Test sets for integer programs. Zbl 0887.90124
Scarf, Herbert E.
4
1997
On cores and indivisibility. Zbl 0349.90135
Shapley, Lloyd; Scarf, Herbert
3
1974
The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176
Bárány, I.; Scarf, H. E.; Shallcross, D.
2
1998
Shortest integer vectors. Zbl 0782.11018
Scarf, Herbert E.; Shallcross, David F.
1
1993
The complex of maximal lattice free simplices. Zbl 0923.90117
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
1
1993
Two new proofs of Afriat’s theorem. Zbl 1084.91032
Fostel, A.; Scarf, H. E.; Todd, M. J.
24
2004
Inventory theory. Zbl 1163.90347
Scarf, Herbert E.
6
2002
Matrices with identical sets of neighbors. Zbl 0977.90023
Bárány, Imre; Scarf, Herbert
7
1998
The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176
Bárány, I.; Scarf, H. E.; Shallcross, D.
2
1998
Test sets for integer programs. Zbl 0887.90124
Scarf, Herbert E.
4
1997
The complex of maximal lattice free simplices. Zbl 0822.90104
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
5
1994
An implementation of the generalized basis reduction algorithm for integer programming. Zbl 0778.90042
Cook, William; Rutherford, Thomas; Scarf, Herbert E.; Shallcross, David
11
1993
The Frobenius problem and maximal lattice free bodies. Zbl 0782.11009
Scarf, Herbert E.; Shallcross, David F.
8
1993
Shortest integer vectors. Zbl 0782.11018
Scarf, Herbert E.; Shallcross, David F.
1
1993
The complex of maximal lattice free simplices. Zbl 0923.90117
Bárány, Imre; Howe, Roger; Scarf, Herbert E.
1
1993
The generalized basis reduction algorithm. Zbl 0774.90060
Lovász, László; Scarf, Herbert E.
18
1992
Mathematical programming and economic theory. Zbl 0703.90067
Scarf, Herbert E.
12
1990
The shapes of polyhedra. Zbl 0712.52015
Kannan, Ravi; Lovász, László; Scarf, Herbert E.
4
1990
Neighborhood systems for production sets with indivisibilities. Zbl 0605.90018
Scarf, Herbert E.
14
1986
Notes on the core of a productive economy. Zbl 0666.90017
Scarf, Herbert E.
6
1986
Integral polyhedra in three space. Zbl 0577.90054
Scarf, Herbert E.
16
1985
The computation of equilibrium prices: An exposition. Zbl 0524.90016
Scarf, Herbert E.
8
1982
Production sets with indivisibilities. Part I: generalities. Zbl 0446.90006
Scarf, Herbert E.
20
1981
Production sets with indivisibilities. Part II: The case of two activities. Zbl 0458.90008
Scarf, Herbert E.
13
1981
An observation on the structure of production sets with indivisibilities. Zbl 0381.90081
Scarf, Herbert E.
30
1977
The solution of systems of piecewise linear equations. Zbl 0458.65056
Eaves, B. Curtis; Scarf, Herbert
52
1976
On cores and indivisibility. Zbl 0281.90014
Shapley, Lloyd; Scarf, Herbert
262
1974
On the applications of a recent combinatorial algorithm. Zbl 0328.90052
Hansen, T.; Scarf, H.
8
1974
On cores and indivisibility. Zbl 0349.90135
Shapley, Lloyd; Scarf, Herbert
3
1974
The computation of economic equilibria. With the collaboration of Terje Hansen. Zbl 0311.90009
Scarf, Herbert
87
1973
The core of an N person game. Zbl 0183.24003
Scarf, H. E.
211
1967
The approximation of fixed points of a continuous mapping. Zbl 0153.49401
Scarf, H.
162
1967
A limit theorem on the core of an economy. Zbl 0122.37702
Debreu, Gerard; Scarf, Herbert
191
1963
A survey of analytic techniques in inventory theory. Zbl 0126.16101
Scarf, H.
13
1963
Multistage inventory models and techniques. Zbl 0197.45904
Scarf, Herbert E.; Gilford, Dorothy M.; Shelly, Maynard W.
5
1963
Approximate solutions to a simple multi-echelon inventory problem. Zbl 0137.38404
Clark, Andrew J.; Scarf, Herbert
13
1962
Studies in applied probability and management science. Zbl 0116.12003
Arrow, K. J.; Karlin, S.; Scarf, H.
9
1962
The optimality of (S,s) policies in the dynamic inventory problem. Zbl 0203.22102
Scarf, H.
96
1960
Some examples of global instability of the competitive equilibrium. Zbl 0096.14204
Scarf, Herbert
72
1960
Some remarks on Bayes solutions to the inventory problem. Zbl 0104.14103
Scarf, Herbert E.
14
1960
Bayes solutions of the statistical inventory problem. Zbl 0089.36801
Scarf, Herbert
48
1959
Studies in the mathematical theory of inventory and production. Zbl 0079.36003
Arrow, Kenneth J.; Karlin, Samuel; Scarf, Herbert; Beckmann, Martin J.; Gessford, John; Muth, Richard F.
77
1958
Games with partial information. Zbl 0078.33101
Scarf, H. E.; Shapley, L. S.
6
1957
On differential games with survival payoff. Zbl 0078.33205
Scarf, H. E.
5
1957
all top 5

Cited by 1,564 Authors

26 Wooders, Myrna Holtz
20 Yang, Zaifu
16 Van der Laan, Gerard
13 Talman, Adolphus J. J.
12 Aliprantis, Charalambos Dionisios
12 Klaus, Bettina
12 Talman, Dolf
11 Ehlers, Lars
10 Cechlárová, Katarína
10 Dang, Chuangyin
10 Todd, Michael J.
10 Weber, Shlomo
9 De Loera, Jesús A.
9 Herings, P. Jean-Jacques
9 Moreno-García, Emma
9 Yannelis, Nicholas C.
8 Fleiner, Tamás
8 Sethi, Suresh P.
8 Shubik, Martin
8 Tourky, Rabee
7 Biró, Peter
7 Ichiishi, Tatsuro
7 Inoue, Tomoki
7 Kesten, Onur
7 Liu, Jiuqiang
7 Sönmez, Tayfun
7 Weismantel, Robert
6 Bensoussan, Alain
6 Billera, Louis J.
6 Burkinshaw, Owen
6 Florenzano, Monique
6 Forges, Françoise
6 Hervés-Beloso, Carlos
6 Santos, Francisco
6 Serrano, Roberto
6 Shapley, Lloyd S.
5 Allouch, Nizar
5 Bárány, Imre
5 Deng, Xiao-Tie
5 Dimitrov, Dinko
5 Eaves, B. Curtis
5 Gould, Floyd J.
5 Idzik, Adam
5 Kaneko, Mamoru
5 Kojima, Fuhito
5 Kojima, Masakazu
5 Kurino, Morimitsu
5 Mas-Colell, Andreu
5 Page, Frank H. jun.
5 Peleg, Bezalel
5 Sagara, Nobusumi
5 Soberón, Pablo
5 Tarim, S. Armagan
5 Vohra, Rajiv
5 Wako, Jun
5 Watson, Layne Terry
5 Yamamoto, Yoshitsugu
5 Ye, Yinyu
4 Andersson, Tommy
4 Averkov, Gennadiy
4 Beyer, Dirk
4 Blanco, Mónica
4 Borm, Peter E. M.
4 Boros, Endre
4 Brown, Donald J.
4 Chao, Xiuli
4 Dada, Maqbool
4 Florig, Michael
4 Gavirneni, Srinagesh
4 Ghosal, Sayantan
4 Greenberg, Joseph
4 Gurvich, Vladimir A.
4 Hatfield, John William
4 Husseinov, Farhad
4 Iehlé, Vincent
4 Jiao, Zhenhua
4 Kawasaki, Ryo
4 Kehoe, Timothy J.
4 Klijn, Flip
4 Manea, Mihai
4 Michener, H. Andrew
4 Nicolò, Antonio
4 Ostroy, Joseph M.
4 Papadimitriou, Christos Harilaos
4 Pápai, Szilvia
4 Parlar, Mahmut
4 Postlewaite, Andrew
4 Rossi, Roberto
4 Roth, Alvin Eliot
4 Scarf, Herbert E.
4 Smale, Steve
4 Sotomayor, Marilda
4 Sung, Shao Chin
4 Svensson, Lars-Gunnar
4 Thomson, William
4 Ünver, M. Utku
4 Yamazaki, Akira
3 Afacan, Mustafa Oğuz
3 Aharoni, Ron
3 Askoura, Youcef
...and 1,464 more Authors
all top 5

Cited in 207 Serials

153 Journal of Mathematical Economics
117 Journal of Economic Theory
87 European Journal of Operational Research
72 Games and Economic Behavior
55 International Journal of Game Theory
54 Economic Theory
53 Mathematical Programming
39 Mathematical Social Sciences
33 Journal of Optimization Theory and Applications
30 Economics Letters
30 Mathematical Programming. Series A. Series B
21 Operations Research Letters
20 Social Choice and Welfare
18 Journal of Economic Dynamics & Control
17 Journal of Mathematical Analysis and Applications
16 Operations Research
13 Theory and Decision
13 Algorithmica
13 Computers & Operations Research
13 Annals of Operations Research
13 International Game Theory Review
11 Discrete Applied Mathematics
9 Discrete Mathematics
9 Applied Mathematics and Computation
9 Mathematics of Operations Research
9 Review of Economic Design
7 Journal of Combinatorial Theory. Series A
7 Kybernetika
7 Naval Research Logistics
7 Zeitschrift für Nationalökonomie
7 Journal of Global Optimization
7 Discrete Optimization
7 Naval Research Logistics Quarterly
6 Metroeconomica
6 Proceedings of the American Mathematical Society
6 Optimization
6 Journal of Complexity
6 Discrete & Computational Geometry
6 Zeitschrift für Operations Research. Serie A: Theorie
6 Unternehmensforschung
5 Information Processing Letters
5 Theoretical Computer Science
5 Journal of Information & Optimization Sciences
5 Order
5 SIAM Journal on Discrete Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Computational Optimization and Applications
5 Mathematical Methods of Operations Research
4 Computers & Mathematics with Applications
4 OR Spektrum
4 International Journal of Computer Mathematics
4 Linear Algebra and its Applications
4 Computational Economics
4 International Transactions in Operational Research
4 Journal of Industrial and Management Optimization
4 New Mathematics and Natural Computation
3 Mathematics of Computation
3 Fuzzy Sets and Systems
3 Journal of Combinatorial Theory. Series B
3 Journal of Computational and Applied Mathematics
3 Journal of Computer and System Sciences
3 Journal of Soviet Mathematics
3 European Journal of Combinatorics
3 SIAM Journal on Algebraic and Discrete Methods
3 International Journal of Production Research
3 Journal of Economics
3 Applied Mathematical Modelling
3 Probability in the Engineering and Informational Sciences
3 Fixed Point Theory and Applications
3 Bulletin of the American Mathematical Society
3 Computer Science Review
2 Artificial Intelligence
2 Mathematical Biosciences
2 Rocky Mountain Journal of Mathematics
2 Annals of the Institute of Statistical Mathematics
2 Automatica
2 Computing
2 Econometrica
2 Journal of Applied Probability
2 Journal of Econometrics
2 The Journal of Mathematical Sociology
2 Journal of Pure and Applied Algebra
2 Journal of Statistical Planning and Inference
2 Kybernetes
2 Mathematics and Computers in Simulation
2 Opsearch
2 SIAM Journal on Control and Optimization
2 Statistica Neerlandica
2 Topology and its Applications
2 Insurance Mathematics & Economics
2 Combinatorica
2 Stochastic Analysis and Applications
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Symbolic Computation
2 Asia-Pacific Journal of Operational Research
2 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Proceedings of the National Academy of Sciences of the United States of America
2 Cybernetics and Systems Analysis
2 Journal of Algebraic Combinatorics
...and 107 more Serials
all top 5

Cited in 40 Fields

840 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
436 Operations research, mathematical programming (90-XX)
90 Numerical analysis (65-XX)
71 Computer science (68-XX)
56 Convex and discrete geometry (52-XX)
42 General topology (54-XX)
39 Combinatorics (05-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
27 Systems theory; control (93-XX)
25 Algebraic topology (55-XX)
24 Statistics (62-XX)
23 Probability theory and stochastic processes (60-XX)
20 Operator theory (47-XX)
15 Number theory (11-XX)
13 Commutative algebra (13-XX)
12 History and biography (01-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 Mathematical logic and foundations (03-XX)
9 Algebraic geometry (14-XX)
9 Manifolds and cell complexes (57-XX)
7 Real functions (26-XX)
5 Functions of a complex variable (30-XX)
5 Ordinary differential equations (34-XX)
5 Functional analysis (46-XX)
5 Biology and other natural sciences (92-XX)
4 Partial differential equations (35-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral equations (45-XX)
1 Quantum theory (81-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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