Herbert Scarf | Academic Influence

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According to Wikipedia, Herbert Eli "Herb" Scarf was an American mathematical economist and Sterling Professor of Economics at Yale University. Education and career Scarf was born in Philadelphia, the son of Jewish emigrants from Ukraine and Russia, Lene and Louis Scarf. During his undergraduate work he finished in the top 10 of the 1950 William Lowell Putnam Mathematical Competition, the major mathematics competition between universities across the United States and Canada. He received his PhD from Princeton in 1954, supervised by Salomon Bochner.

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Herbert Scarf's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

On cores and indivisibility (1974) (1284)
Optimal Policies for a Multi-Echelon Inventory Problem (1960) (1221)
THE OPTIMALITY OF (S,S) POLICIES IN THE DYNAMIC INVENTORY PROBLEM (1959) (839)
A Min-Max Solution of an Inventory Problem (1957) (779)
The Core of an N Person Game (1967) (728)
The Approximation of Fixed Points of a Continuous Mapping (1967) (671)
Studies in the Mathematical Theory of Inventory and Production, by K.J. Arrow, S. Karlin, H. Scarf with contributions by M.J. Beckmann, J. Gessford, R.F. Muth. Stanford, California, Stanford University Press, 1958, X p.340p., $ 8.75. (1959) (592)
The Computation of Economic Equilibria (1974) (574)
Some Examples of Global Instability of the Competitive Equilibrium (1960) (511)
A LIMIT THEOREM ON THE CORE OF AN ECONOMY (1963) (379)
Bayes Solutions of the Statistical Inventory Problem (1959) (322)
Applied General Equilibrium Analysis (1984) (284)
Econometric Methods for Applied General Equilibrium Analysis (1984) (195)
How to Compute Equilibrium Prices in 1891 (2005) (194)
The computation of equilibrium prices (1973) (179)
The Allocation of Resources in the Presence of Indivisibilities (1994) (169)
The Solution of Systems of Piecewise Linear Equations (1976) (166)
On the existence of a coopertive solution for a general class of N-person games☆ (1971) (154)
Some remarks on bayes solutions to the inventory problem (1960) (131)
Studies in applied probability and management science (1962) (128)
Inventory Models of the Arrow-Harris-Marschak Type with Time Lag (2005) (116)
Multistage inventory models and techniques (1964) (110)
The Generalized Basis Reduction Algorithm (1990) (107)
Two new proofs of Afriat’s theorem (2003) (104)
An observation on the structure of production sets with indivisibilities. (1977) (94)
The Computation of Equilibrium Prices: An Exposition (1977) (88)
Production Sets with Indivisibilities Part I: Generalities (1981) (86)
Production Sets with Indivisibilities-Part II: The Case of Two Activities (1981) (69)
Neighborhood Systems for Production Sets with Indivisibilities (1986) (65)
An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming (1993) (65)
Integral Polyhedra in Three Space (1985) (64)
Mathematical Programming and Economic Theory (1990) (63)
Inventory Theory (2002) (53)
AN ANALYSIS OF MARKETS WITH A LARGE NUMBER OF PARTICIPANTS (1961) (45)
An Example of an Algorithm for Calculating General Equilibrium (1969) (44)
The Shapes of Polyhedra (1990) (38)
On The Applications of a Recent Combinatorial Algorithm (1969) (29)
Testing for optimality in the absence of convexity (2008) (26)
The Frobenius Problem and Maximal Lattice Free Bodies (1993) (22)
The complex of maximal lattice free simplices (1994) (20)
Approximate Solutions to a Simple Multi-Echelon Inventory Problem (2013) (20)
A Survey of Analytic Techniques in Inventory Theory (2013) (16)
GAMES WITH PARTIAL INFORMATION (1956) (16)
Matrices with Identical Sets of Neighbors (1998) (16)
Computation of General Equilibria (1989) (14)
Chapter 21 The computation of equilibrium prices: An exposition (1982) (13)
Fixed-Point Theorems and Economic Analysis (1983) (13)
Test sets for integer programs (1997) (13)
The topological structure of maximal lattice free convex bodies: The general case (1995) (13)
Optimal inventory policies when sales are discretionary (2005) (12)
Game-theoretic models of cooperation and conflict (1992) (11)
Stationary Operating Characteristics of an Inventory Model with Time Lag (2013) (11)
Comment on: "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example" (1981) (10)
Social choice and public decision making: Testing for optimality in the absence of convexity (1986) (7)
ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFFS (1955) (6)
Inventory Models and Related Stochastic Processes (2013) (6)
A new implementation of the generalized basis reduction algorithm for convex integer programming (1997) (6)
The 1975 Nobel Prize in Economics: Resource Allocation (1975) (5)
Uniqueness of Equilibrium in the Multi-Country Ricardo Model (2003) (4)
Games with Information Lag (1954) (4)
The Structure of the Complex of Maximal Lattice Free Bodies for a Matrix of Size ( n + 1) × n (2008) (3)
Tjalling Charles Koopmans (August 28, 1910–February 26, 1985) (1992) (3)
An Algorithm for a Class of Nonconvex Programming Problems (1966) (3)
Neighborhood Complexes and Generating Functions for Affine Semigroups (2004) (2)
My introduction to top-trading cycles (2009) (2)
The Origins of Fixed Point Methods (2013) (2)
Shortest Integer Vectors (1993) (2)
The Elements of General Equilibrium Theory (2008) (1)
A Concept of Stability in Manpower Planning (1957) (1)
The Generalized Basis Reduction Algorithm (annotated) (2000) (1)
THE CORE OF AN 𝑛-PERSON GAME (2020) (1)
The computation of equilibria for the Walrasian model: a personal account (2013) (1)
Economic Equilibrium and Soviet Economic Reform (1991) (1)
A DYNAMIC THEORY OF CONSUMER'S CHOICE (1959) (0)
PANEL 6 INVENTORY CONTROL (0)
On Cores and Ewmsibility* (2001) (0)
Brainard and Scarf on Equilibrium Prices (2005) (0)
Games and Decisions (R. D. Luce and H. Raiffa) (1959) (0)
My Favorite Simplicial Complex and Some of Its Applications (2007) (0)
11. A Limit Theorem on the Core of an Economy. International Economic Review 4 (1963) 235-246. (1997) (0)
Group Invariant Integration and the Fundamental Theorem of Algebra. (1952) (0)
Production Sets with Indivisibilities: Generalities and the Case of Two Variables (1979) (0)
A Theorem in Search of a Simple Proof (1989) (0)
Exposita Notes Two new proofs of Afriat's theorem (2004) (0)
The maximization of an integral subject to constraints. (1955) (0)
COWLES FOUNDATION FOR RESEARCH IN ECONOMICS AT YALE UNIVERSITY Box (1988) (0)
SHAPED SOURCES FOR TELETHERAPY UNITS (1953) (0)
Problems for Solutions: E956-E960 (1951) (0)
PART I: GENERALITIES1 (2016) (0)
A COMPARATIVE ANALYSIS OF THE BAYES INVENTORY POLICY (1961) (0)
0 AN ANALYSIS OF MARKETS 0 WITH A LARGE NUMBER OF PARTICIPANTS (0)
0 AN ANALYSIS OF MARKETS 0 WITH A LARGE NUMBER OF PARTICIPANTS (0)

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