Edit Profile (opens in new tab) Scarf, Herbert E. Compute Distance To: Compute Author ID: scarf.herbert-e Published as: Scarf, Herbert E.; Scarf, Herbert; Scarf, H. E.; Scarf, H. more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 49 Publications since 1952, including 3 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 22 Co-Authors with 24 Joint Publications 674 Co-Co-Authors all top 5 Co-Authors 24 single-authored 5 Bárány, Imre 5 Shallcross, David F. 4 Shapley, Lloyd S. 2 Arrow, Kenneth Joseph 2 Debreu, Gérard 2 Howe, Roger Evans 2 Karlin, Samuel 2 Lovász, László 1 Beckmann, Martin J. 1 Bradford, David F. 1 Clark, Andrew J. 1 Cook, William John 1 Eaves, B. Curtis 1 Fostel, Ana 1 Gessford, John 1 Gevers, Louis 1 Gilford, Dorothy M. 1 Hammond, Peter Jackson 1 Harsanyi, John Charles 1 Heller, Walter Perrin 1 Hurwicz, Leonid 1 Intriligator, Michael D. 1 Kannan, Ravindran 1 Lind, Robert C. 1 Muth, Richard F. 1 Rutherford, Thomas F. 1 Sen, Amartya Kumar 1 Shelly, Maynard W. 1 Sheshinski, Eytan 1 Starr, Ross M. 1 Starrett, David A. 1 Todd, Michael J. 1 Wilson, Charles A. 1 Woods, Kevin M. all top 5 Serials 7 Mathematics of Operations Research 4 Econometrica 3 Mathematical Programming. Series A. Series B 2 International Economic Review 2 Operations Research 2 Proceedings of the National Academy of Sciences of the United States of America 2 Annals of Mathematics Studies 1 Journal of Mathematical Economics 1 Discrete & Computational Geometry 1 Games and Economic Behavior 1 ORSA Journal on Computing 1 SIAM Journal on Applied Mathematics 1 Economic Theory 1 Naval Research Logistics Quarterly 1 Annals of Mathematical Statistics all top 5 Fields 27 Operations research, mathematical programming (90-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 4 Operator theory (47-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 1,679 times in 1,428 Documents Cited by ▼ Year ▼ On cores and indivisibility. Zbl 0281.90014Shapley, Lloyd; Scarf, Herbert 298 1974 The core of an N person game. Zbl 0183.24003Scarf, H. E. 236 1967 A limit theorem on the core of an economy. Zbl 0122.37702Debreu, Gerard; Scarf, Herbert 199 1963 The approximation of fixed points of a continuous mapping. Zbl 0153.49401Scarf, H. 173 1967 The optimality of (S,s) policies in the dynamic inventory problem. Zbl 0203.22102Scarf, H. 110 1960 The computation of economic equilibria. With the collaboration of Terje Hansen. Zbl 0311.90009Scarf, Herbert 88 1973 Studies in the mathematical theory of inventory and production. Zbl 0079.36003Arrow, Kenneth J.; Karlin, Samuel; Scarf, Herbert; Beckmann, Martin J.; Gessford, John; Muth, Richard F. 86 1958 Some examples of global instability of the competitive equilibrium. Zbl 0096.14204Scarf, Herbert 75 1960 The solution of systems of piecewise linear equations. Zbl 0458.65056Eaves, B. Curtis; Scarf, Herbert 53 1976 Bayes solutions of the statistical inventory problem. Zbl 0089.36801Scarf, Herbert 52 1959 An observation on the structure of production sets with indivisibilities. Zbl 0381.90081Scarf, Herbert E. 33 1977 Two new proofs of Afriat’s theorem. Zbl 1084.91032Fostel, A.; Scarf, H. E.; Todd, M. J. 27 2004 Production sets with indivisibilities. Part I: generalities. Zbl 0446.90006Scarf, Herbert E. 21 1981 The generalized basis reduction algorithm. Zbl 0774.90060Lovász, László; Scarf, Herbert E. 20 1992 Integral polyhedra in three space. Zbl 0577.90054Scarf, Herbert E. 18 1985 Neighborhood systems for production sets with indivisibilities. Zbl 0605.90018Scarf, Herbert E. 16 1986 Some remarks on Bayes solutions to the inventory problem. Zbl 0104.14103Scarf, Herbert E. 15 1960 A survey of analytic techniques in inventory theory. Zbl 0126.16101Scarf, H. 14 1963 Production sets with indivisibilities. Part II: The case of two activities. Zbl 0458.90008Scarf, Herbert E. 13 1981 Mathematical programming and economic theory. Zbl 0703.90067Scarf, Herbert E. 13 1990 Approximate solutions to a simple multi-echelon inventory problem. Zbl 0137.38404Clark, Andrew J.; Scarf, Herbert 13 1962 An implementation of the generalized basis reduction algorithm for integer programming. Zbl 0778.90042Cook, William; Rutherford, Thomas; Scarf, Herbert E.; Shallcross, David 12 1993 The computation of equilibrium prices: An exposition. Zbl 0524.90016Scarf, Herbert E. 11 1982 Studies in applied probability and management science. Zbl 0116.12003Arrow, K. J.; Karlin, S.; Scarf, H. 9 1962 The Frobenius problem and maximal lattice free bodies. Zbl 0782.11009Scarf, Herbert E.; Shallcross, David F. 8 1993 On the applications of a recent combinatorial algorithm. Zbl 0328.90052Hansen, T.; Scarf, H. 8 1974 Matrices with identical sets of neighbors. Zbl 0977.90023Bárány, Imre; Scarf, Herbert 7 1998 Notes on the core of a productive economy. Zbl 0666.90017Scarf, Herbert E. 7 1986 The complex of maximal lattice free simplices. Zbl 0822.90104Bárány, Imre; Howe, Roger; Scarf, Herbert E. 6 1994 Games with partial information. Zbl 0078.33101Scarf, H. E.; Shapley, L. S. 6 1957 Inventory theory. Zbl 1163.90347Scarf, Herbert E. 6 2002 Multistage inventory models and techniques. Zbl 0197.45904 5 1963 On differential games with survival payoff. Zbl 0078.33205Scarf, H. E. 5 1957 The shapes of polyhedra. Zbl 0712.52015Kannan, Ravi; Lovász, László; Scarf, Herbert E. 4 1990 Test sets for integer programs. Zbl 0887.90124Scarf, Herbert E. 4 1997 On cores and indivisibility. Zbl 0349.90135Shapley, Lloyd; Scarf, Herbert 3 1974 The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176Bárány, I.; Scarf, H. E.; Shallcross, D. 2 1998 The complex of maximal lattice free simplices. Zbl 0923.90117Bárány, Imre; Howe, Roger; Scarf, Herbert E. 2 1993 Social choice and public decision making. Essays in honor of Kenneth J. Arrow. Vol. I. Zbl 0666.90006 1 1986 Shortest integer vectors. Zbl 0782.11018Scarf, Herbert E.; Shallcross, David F. 1 1993 Two new proofs of Afriat’s theorem. Zbl 1084.91032Fostel, A.; Scarf, H. E.; Todd, M. J. 27 2004 Inventory theory. Zbl 1163.90347Scarf, Herbert E. 6 2002 Matrices with identical sets of neighbors. Zbl 0977.90023Bárány, Imre; Scarf, Herbert 7 1998 The topological structure of maximal lattice free convex bodies: The general case. Zbl 0894.90176Bárány, I.; Scarf, H. E.; Shallcross, D. 2 1998 Test sets for integer programs. Zbl 0887.90124Scarf, Herbert E. 4 1997 The complex of maximal lattice free simplices. Zbl 0822.90104Bárány, Imre; Howe, Roger; Scarf, Herbert E. 6 1994 An implementation of the generalized basis reduction algorithm for integer programming. Zbl 0778.90042Cook, William; Rutherford, Thomas; Scarf, Herbert E.; Shallcross, David 12 1993 The Frobenius problem and maximal lattice free bodies. Zbl 0782.11009Scarf, Herbert E.; Shallcross, David F. 8 1993 The complex of maximal lattice free simplices. Zbl 0923.90117Bárány, Imre; Howe, Roger; Scarf, Herbert E. 2 1993 Shortest integer vectors. Zbl 0782.11018Scarf, Herbert E.; Shallcross, David F. 1 1993 The generalized basis reduction algorithm. Zbl 0774.90060Lovász, László; Scarf, Herbert E. 20 1992 Mathematical programming and economic theory. Zbl 0703.90067Scarf, Herbert E. 13 1990 The shapes of polyhedra. Zbl 0712.52015Kannan, Ravi; Lovász, László; Scarf, Herbert E. 4 1990 Neighborhood systems for production sets with indivisibilities. Zbl 0605.90018Scarf, Herbert E. 16 1986 Notes on the core of a productive economy. Zbl 0666.90017Scarf, Herbert E. 7 1986 Social choice and public decision making. Essays in honor of Kenneth J. Arrow. Vol. I. Zbl 0666.90006 1 1986 Integral polyhedra in three space. Zbl 0577.90054Scarf, Herbert E. 18 1985 The computation of equilibrium prices: An exposition. Zbl 0524.90016Scarf, Herbert E. 11 1982 Production sets with indivisibilities. Part I: generalities. Zbl 0446.90006Scarf, Herbert E. 21 1981 Production sets with indivisibilities. Part II: The case of two activities. Zbl 0458.90008Scarf, Herbert E. 13 1981 An observation on the structure of production sets with indivisibilities. Zbl 0381.90081Scarf, Herbert E. 33 1977 The solution of systems of piecewise linear equations. Zbl 0458.65056Eaves, B. Curtis; Scarf, Herbert 53 1976 On cores and indivisibility. Zbl 0281.90014Shapley, Lloyd; Scarf, Herbert 298 1974 On the applications of a recent combinatorial algorithm. Zbl 0328.90052Hansen, T.; Scarf, H. 8 1974 On cores and indivisibility. Zbl 0349.90135Shapley, Lloyd; Scarf, Herbert 3 1974 The computation of economic equilibria. With the collaboration of Terje Hansen. Zbl 0311.90009Scarf, Herbert 88 1973 The core of an N person game. Zbl 0183.24003Scarf, H. E. 236 1967 The approximation of fixed points of a continuous mapping. Zbl 0153.49401Scarf, H. 173 1967 A limit theorem on the core of an economy. Zbl 0122.37702Debreu, Gerard; Scarf, Herbert 199 1963 A survey of analytic techniques in inventory theory. Zbl 0126.16101Scarf, H. 14 1963 Multistage inventory models and techniques. Zbl 0197.45904 5 1963 Approximate solutions to a simple multi-echelon inventory problem. Zbl 0137.38404Clark, Andrew J.; Scarf, Herbert 13 1962 Studies in applied probability and management science. Zbl 0116.12003Arrow, K. J.; Karlin, S.; Scarf, H. 9 1962 The optimality of (S,s) policies in the dynamic inventory problem. Zbl 0203.22102Scarf, H. 110 1960 Some examples of global instability of the competitive equilibrium. Zbl 0096.14204Scarf, Herbert 75 1960 Some remarks on Bayes solutions to the inventory problem. Zbl 0104.14103Scarf, Herbert E. 15 1960 Bayes solutions of the statistical inventory problem. Zbl 0089.36801Scarf, Herbert 52 1959 Studies in the mathematical theory of inventory and production. Zbl 0079.36003Arrow, Kenneth J.; Karlin, Samuel; Scarf, Herbert; Beckmann, Martin J.; Gessford, John; Muth, Richard F. 86 1958 Games with partial information. Zbl 0078.33101Scarf, H. E.; Shapley, L. S. 6 1957 On differential games with survival payoff. Zbl 0078.33205Scarf, H. E. 5 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,749 Authors 27 Wooders, Myrna Holtz 26 Talman, Dolf 20 Yang, Zaifu 16 Van der Laan, Gerard 15 Dang, Chuangyin 12 Aliprantis, Charalambos Dionisios 12 Ehlers, Lars 12 Klaus, Bettina 11 Weber, Shlomo 10 Cechlárová, Katarína 10 Herings, P. Jean-Jacques 10 Todd, Michael J. 9 Biró, Peter 9 De Loera, Jesús A. 9 Fleiner, Tamás 9 Moreno-García, Emma 9 Yannelis, Nicholas Constantine 8 Sethi, Suresh P. 8 Shubik, Martin 8 Tourky, Rabee 7 Ichiishi, Tatsuro 7 Inoue, Tomoki 7 Kesten, Onur 7 Liu, Jiuqiang 7 Santos, Francisco 7 Serrano, Roberto 7 Sönmez, Tayfun 7 Weismantel, Robert 6 Bárány, Imre 6 Bensoussan, Alain 6 Billera, Louis J. 6 Burkinshaw, Owen 6 Florenzano, Monique 6 Forges, Françoise 6 Hervés-Beloso, Carlos 6 Kojima, Fuhito 6 Rossi, Roberto 6 Shapley, Lloyd S. 6 Tarim, S. Armagan 5 Allouch, Nizar 5 Andersson, Tommy 5 Deng, Xiao-Tie 5 Dimitrov, Dinko 5 Eaves, B. Curtis 5 Gould, Floyd J. 5 Idzik, Adam 5 Jiao, Zhenhua 5 Kaneko, Mamoru 5 Kehoe, Timothy J. 5 Klijn, Flip 5 Kojima, Masakazu 5 Kurino, Morimitsu 5 Mas-Colell, Andreu 5 Page, Frank H. jun. 5 Pápai, Szilvia 5 Peleg, Bezalel 5 Sagara, Nobusumi 5 Scarf, Herbert E. 5 Soberón, Pablo 5 Svensson, Lars-Gunnar 5 Vohra, Rajiv 5 Wako, Jun 5 Watson, Layne Terry 5 Yamamoto, Yoshitsugu 5 Ye, Yinyu 4 Afacan, Mustafa Oğuz 4 Averkov, Gennadiy 4 Aziz, Haris 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 Kawasaki, Ryo 4 Manea, Mihai 4 Michener, H. Andrew 4 Nicolò, Antonio 4 Ostroy, Joseph M. 4 Owen, Guillermo 4 Papadimitriou, Christos Harilaos 4 Parlar, Mahmut 4 Phan, William 4 Postlewaite, Andrew 4 Roth, Alvin Eliot 4 Smale, Steve 4 Soprunova, Evgenia 4 Sotomayor, Marilda 4 Sung, Shao Chin 4 Thomson, William 4 Ünver, M. Utku ...and 1,649 more Authors all top 5 Cited in 214 Serials 160 Journal of Mathematical Economics 123 Journal of Economic Theory 96 European Journal of Operational Research 77 Games and Economic Behavior 57 International Journal of Game Theory 57 Economic Theory 53 Mathematical Programming 44 Mathematical Social Sciences 36 Journal of Optimization Theory and Applications 31 Mathematical Programming. Series A. Series B 30 Economics Letters 26 Operations Research Letters 21 Operations Research 20 Social Choice and Welfare 19 Journal of Economic Dynamics & Control 17 Journal of Mathematical Analysis and Applications 15 Annals of Operations Research 14 Computers & Operations Research 13 Theory and Decision 13 Algorithmica 13 International Game Theory Review 11 Discrete Applied Mathematics 11 Mathematics of Operations Research 9 Discrete Mathematics 9 Applied Mathematics and Computation 9 Review of Economic Design 8 Journal of Global Optimization 7 Journal of Combinatorial Theory. Series A 7 Kybernetika 7 Naval Research Logistics 7 Zeitschrift für Nationalökonomie 7 Discrete & Computational Geometry 7 Discrete Optimization 7 Naval Research Logistics Quarterly 6 Metroeconomica 6 Proceedings of the American Mathematical Society 6 Theoretical Computer Science 6 Optimization 6 Journal of Complexity 6 SIAM Journal on Discrete Mathematics 6 Zeitschrift für Operations Research. Serie A: Theorie 6 Unternehmensforschung 5 Information Processing Letters 5 Journal of Information & Optimization Sciences 5 Order 5 Bulletin of the American Mathematical Society. New Series 5 Computational Optimization and Applications 5 Mathematical Methods of Operations Research 5 Probability in the Engineering and Informational Sciences 5 Journal of Industrial and Management Optimization 4 Artificial Intelligence 4 Computers & Mathematics with Applications 4 OR Spektrum 4 Journal of Economics 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Linear Algebra and its Applications 4 Computational Economics 4 International Transactions in Operational Research 4 INFORMS Journal on Computing 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 Insurance Mathematics & Economics 3 SIAM Journal on Algebraic and Discrete Methods 3 International Journal of Production Research 3 SIAM Journal on Optimization 3 Journal of Combinatorial Optimization 3 Decisions in Economics and Finance 3 Fixed Point Theory and Applications 3 Bulletin of the American Mathematical Society 3 Computer Science Review 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 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 ...and 114 more Serials all top 5 Cited in 40 Fields 895 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 473 Operations research, mathematical programming (90-XX) 91 Numerical analysis (65-XX) 84 Computer science (68-XX) 60 Convex and discrete geometry (52-XX) 42 General topology (54-XX) 40 Combinatorics (05-XX) 29 Systems theory; control (93-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 26 Probability theory and stochastic processes (60-XX) 26 Statistics (62-XX) 25 Algebraic topology (55-XX) 21 Operator theory (47-XX) 19 Number theory (11-XX) 14 Commutative algebra (13-XX) 12 History and biography (01-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Algebraic geometry (14-XX) 9 Mathematical logic and foundations (03-XX) 9 Manifolds and cell complexes (57-XX) 8 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 Approximations and expansions (41-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 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.