# Herbert Scarf

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Most Influential Person Now

American academic

## Herbert Scarf's AcademicInfluence.com Rankings

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Economics

## Herbert Scarf's Degrees

- PhD Economics Princeton University
- Bachelors Mathematics University of California, Berkeley

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## Why Is Herbert Scarf Influential?

(Suggest an Edit or Addition)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.

## Herbert Scarf's Published Works

### Published Works

- On cores and indivisibility (1974) (1308)
- Optimal Policies for a Multi-Echelon Inventory Problem (1960) (1230)
- THE OPTIMALITY OF (S,S) POLICIES IN THE DYNAMIC INVENTORY PROBLEM (1959) (848)
- A Min-Max Solution of an Inventory Problem (1957) (816)
- The Core of an N Person Game (1967) (741)
- The Approximation of Fixed Points of a Continuous Mapping (1967) (674)
- 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) (572)
- Some Examples of Global Instability of the Competitive Equilibrium (1960) (513)
- A LIMIT THEOREM ON THE CORE OF AN ECONOMY (1963) (354)
- Bayes Solutions of the Statistical Inventory Problem (1959) (323)
- Applied General Equilibrium Analysis (1984) (285)
- How to Compute Equilibrium Prices in 1891 (2005) (198)
- Econometric Methods for Applied General Equilibrium Analysis (1984) (196)
- The computation of equilibrium prices (1973) (179)
- The Allocation of Resources in the Presence of Indivisibilities (1994) (173)
- 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) (158)
- 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) (117)
- Multistage inventory models and techniques (1964) (110)
- The Generalized Basis Reduction Algorithm (1990) (108)
- Two new proofs of Afriat’s theorem (2003) (105)
- An observation on the structure of production sets with indivisibilities. (1977) (96)
- The Computation of Equilibrium Prices: An Exposition (1977) (88)
- Production Sets with Indivisibilities Part I: Generalities (1981) (87)
- 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)
- Mathematical Programming and Economic Theory (1990) (64)
- Integral Polyhedra in Three Space (1985) (64)
- Inventory Theory (2002) (54)
- 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) (27)
- Approximate Solutions to a Simple Multi-Echelon Inventory Problem (2013) (20)
- The complex of maximal lattice free simplices (1994) (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)
- The topological structure of maximal lattice free convex bodies: The general case (1995) (13)
- Chapter 21 The computation of equilibrium prices: An exposition (1982) (13)
- Test sets for integer programs (1997) (13)
- Fixed-Point Theorems and Economic Analysis (1983) (13)
- Stationary Operating Characteristics of an Inventory Model with Time Lag (2013) (12)
- Optimal inventory policies when sales are discretionary (2005) (12)
- Game-theoretic models of cooperation and conflict (1992) (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)
- Inventory Models and Related Stochastic Processes (2013) (7)
- A new implementation of the generalized basis reduction algorithm for convex integer programming (1997) (6)
- ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFFS (1955) (6)
- The 1975 Nobel Prize in Economics: Resource Allocation (1975) (5)
- Games with Information Lag (1954) (4)
- Uniqueness of Equilibrium in the Multi-Country Ricardo Model (2003) (4)
- Tjalling Charles Koopmans (August 28, 1910–February 26, 1985) (1992) (3)
- An Algorithm for a Class of Nonconvex Programming Problems (1966) (3)
- The Structure of the Complex of Maximal Lattice Free Bodies for a Matrix of Size ( n + 1) × n (2008) (3)
- The Origins of Fixed Point Methods (2013) (2)
- My introduction to top-trading cycles (2009) (2)
- Neighborhood Complexes and Generating Functions for Affine Semigroups (2004) (2)
- Shortest Integer Vectors (1993) (2)
- A Concept of Stability in Manpower Planning (1957) (1)
- The Generalized Basis Reduction Algorithm (annotated) (2000) (1)
- The Elements of General Equilibrium Theory (2008) (1)
- The computation of equilibria for the Walrasian model: a personal account (2013) (1)
- Economic Equilibrium and Soviet Economic Reform (1991) (1)
- THE CORE OF AN 𝑛-PERSON GAME (2020) (1)
- Problems for Solutions: E956-E960 (1951) (0)
- The maximization of an integral subject to constraints. (1955) (0)
- Exposita Notes Two new proofs of Afriat's theorem (2004) (0)
- Games and Decisions (R. D. Luce and H. Raiffa) (1959) (0)
- Production Sets with Indivisibilities: Generalities and the Case of Two Variables (1979) (0)
- COWLES FOUNDATION FOR RESEARCH IN ECONOMICS AT YALE UNIVERSITY Box (1988) (0)
- PART I: GENERALITIES1 (2016) (0)
- Brainard and Scarf on Equilibrium Prices (2005) (0)
- On Cores and Ewmsibility* (2001) (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)
- SHAPED SOURCES FOR TELETHERAPY UNITS (1953) (0)
- Group Invariant Integration and the Fundamental Theorem of Algebra. (1952) (0)
- My Favorite Simplicial Complex and Some of Its Applications (2007) (0)
- A COMPARATIVE ANALYSIS OF THE BAYES INVENTORY POLICY (1961) (0)
- PANEL 6 INVENTORY CONTROL (0)
- 11. A Limit Theorem on the Core of an Economy. International Economic Review 4 (1963) 235-246. (1997) (0)
- A DYNAMIC THEORY OF CONSUMER'S CHOICE (1959) (0)
- A Theorem in Search of a Simple Proof (1989) (0)

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