Major Works of Herbert Scarf
- "On Differential Games with Survival Payoff", 1957, Annals of Mathematical
Statistics. [scf]
- "Games with Partial Information", with L.S.Shapley,
1957, in Annals of Mathematical Statistics. [scf]
- Studies in the Mathematical Theory of Inventory and Production with K.J. Arrow and S. Karlin, 1958
- "The Optimality of (S, s) Policies in the Dynamic Inventory Problem." 1959,
in Mathematical Methods in the
Social Sciences [scf]
- "Some Examples of Global Instability of the Competitive Equilibrium", 1960, IER.
[pdf]
- "Optimal Policies for a Multi-echelon Inventory Problem," with A. J. Clark,
1960, Management Science
[scf]
- "Approximate Solutions to a Simple Multi-Echelon Inventory Problem" with A.J.
Clark, 1962, in Arrow et al, editors,
Studies in Applied Probability and Management Science
- "An Analysis of Markets with a Large Number of Participants", 1962, Recent
Advances in Game Theory. [scf]
- "A Survey of Analytic Techniques in Inventory Theory." 1963, in Scarf et
al, editors, Multistage Inventory Models and
Techniques
- "A Limit Theorem on the Core of an Economy", with G. Debreu,
1963, Econometrica. [cwls]
- "An Elementary Proof of a Theorem on the Core of an N-Person Game" [scf]
- "The Approximation of Fixed Points of a Continuous
Mapping," 1967, SIAM [cwls]
- "On the Computation of Equilibrium Prices", 1967 in Ten Economic Studies in
the Tradition of Irving Fisher. [cwls]
- "The Core of an N-Person Game", 1967, Econometrica. [cwls]
- "An Example of an Algorithm for Calculating General Equilibrium
Prices," 1969,
AER [cwls]
- "On the Existence of a Cooperative Solution for a General Class of N-Person
Games", 1971, JET. [cwls]
- "The Limit of the Core of an
Economy" with G. Debreu, 1972, in
McGuire and Radner, editors, Decision and Organization [cwls]
- The Computation of Economic Equilibrium (with collaboration of T. Hansen), 1973.
- "On Cores and Indivisibility", with L.S. Shapley,
1974, JMathE. [pdf]
- "The Solution of Systems of Piecewise Linear
Equations," with B. C. Eaves,
1976, Mathematics of
Operations Research [cwls]
- "An Observation on the Structure of Production Sets with
Indivisibilities,"
1977, PNAS [cwls]
- "Production Sets with Indivisibilities, Part
I: Generalities: & Part
II: The Case of Two Activities", 1981, Econometrica
[cwls1,
cwls2]
- "The Computation of Equilibrium Prices" 1982, in Arrow and Intriligator, editors,
Handbook of Mathematical
Economics, Volume II [cwls]
- "Fixed Point Theorems and Economic Analysis,", 1983, American Scientist
- "The Computation of Equlibrium Prices", 1984, in Scarf and Shoven, editors, Applied
General Equilibrium Analysis.
- "Integral Polyhedra in Three Space," 1985, Mathematics of Operations
Research
- "Neighborhood Systems for Production Sets with Indivisibilities," 1986, Econometrica
- Testing for Optimality in the Absence of Convexity", 1986, in Heller, Starr and
Starrett, editors, Social Choice and Public Decision Making.
- "Notes on the Core of a Productive Economy.", 1986, in Hildenbrand and
Mas-Colell, editors, Contributions to Mathematical Economics
- "A Theorem in Search of a Simple Proof." 1989, in Anderson et al, editors, Probability,
Statistics, and Mathematics,
- "Mathematical Programming and Economic Theory," 1990, Operations Research
- "The Origins of Fixed Point Methods." 1991, in Lenstra et al.,
editors, History of Mathematical Programming
- "The Generalized Basis Reduction Algorithm," with L. Lovász, 1992,
Mathematics of Operations Research
- "The Frobenius Problem and Maximal Lattice Free Bodies" with D.F. Shallcross,
1993, Mathematics of Operations Research
- "Shortest Integer Vectors," with D.F. Shallcross, 1993, Mathematics of
Operations Research
- "The Allocation of Resources in the Presence of Indivisibilities," 1994, JEP
- "The Complex of Maximal Lattice Free Simplices," with I. Bárány and R. Howe,
1994, Mathematical Programming
- "Tjalling Charles
Koopmans, 1910-1985 Biographical Memoir," 1995, at NAS [html,
pdf]
- "Matrices
with Identical Sets of Neighbors", with I. Bárány, 1998, Mathematics
of Operations Research [cwls]
- "Optimal Inventory Policies When Sales Are Discretionary" [cwls]
- "How to Compute Equilibrium Prices in 1891"
with W.C. Brainard, 2000 [cwls]
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