Details about Herbert E. Scarf
This author is deceased (20151115). Access statistics for papers by Herbert E. Scarf.
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Shortid: psc54
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Working Papers
2004
 Neighborhood Complexes and Generating Functions for Affine Semigroups
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
 Two New Proofs of Afriat's Theorem
Econometric Society 2004 North American Summer Meetings, Econometric Society View citations (57)
Also in Yale School of Management Working Papers, Yale School of Management (2004) View citations (72) Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University (2003) View citations (4)
See also Journal Article in Economic Theory (2004)
2003
 Uniqueness of Equilibrium in the MultiCountry Ricardo Model
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
2000
 How to Compute Equilibrium Prices in 1891
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (17)
See also Journal Article in American Journal of Economics and Sociology (2005)
 Optimal Inventory Policies When Sales Are Discretionary
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
See also Journal Article in International Journal of Production Economics (2005)
1996
 Matrices with Identical Sets of Neighbors
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
See also Journal Article in Mathematics of Operations Research (1998)
1994
 The Allocation of Resources in the Presence of Indivisibilities
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (71)
See also Journal Article in Journal of Economic Perspectives (1994)
 The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
1992
 The Complex of Maximal Lattice Free Simplices
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
 Tjalling Charles Koopmans (August 28, 1910February 26, 1985)
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (1)
1991
 An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
See also Journal Article in INFORMS Journal on Computing (1993)
 Economic Equilibrium and Soviet Economic Reform
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
 Shortest Integer Vectors
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
See also Journal Article in Mathematics of Operations Research (1993)
1990
 The Frobenius Problem and Maximal Lattice Free Bodies
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (1)
See also Journal Article in Mathematics of Operations Research (1993)
 The Generalized Basis Reduction Algorithm
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
See also Journal Article in Mathematics of Operations Research (1992)
1989
 Mathematical Programming and Economic Theory
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (3)
See also Journal Article in Operations Research (1990)
1988
 The Shapes of Polyhedra
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (4)
See also Journal Article in Mathematics of Operations Research (1990)
1984
 Neighborhood Systems for Production Sets with Indivisibilities
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (1)
See also Journal Article in Econometrica (1986)
1982
 Integral Polyhedra in Three Spaces
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
See also Journal Article in Mathematics of Operations Research (1985)
1979
 Production Sets with Indivisibilities: Generalities and the Case of Two Variables
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
1977
 An Observation on the Structure of Production Sets with Indivisibilities
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (6)
 The Computation of Equilibrium Prices: An Exposition
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
See also Chapter (1993)
1975
 The Solution of Systems of Piecewise Linear Equations
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (4)
See also Journal Article in Mathematics of Operations Research (1976)
1970
 On the Existence of a Cooperative Solution for a General Class of NPerson Games
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (7)
See also Journal Article in Journal of Economic Theory (1971)
1969
 An Example of an Algorithm for Calculating General Equilibrium
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (4)
 On The Applications of a Recent Combinatorial Algorithm
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
1967
 On the Computation of Equilibrium Prices
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (25)
 The Approximation of Fixed Points of a Continuous Mapping
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (126)
1966
 An Algorithm for a Class of Nonconvex Programming Problems
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
1965
 The Core of an N Person Game
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (71)
1959
 Some Examples of Global Instability of the Competitive Equilibrium
Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (36)
Journal Articles
2009
 My introduction to toptrading cycles
Games and Economic Behavior, 2009, 66, (2), 630631
2005
 How to Compute Equilibrium Prices in 1891
American Journal of Economics and Sociology, 2005, 64, (1), 5783 View citations (18)
See also Working Paper (2000)
 Optimal inventory policies when sales are discretionary
International Journal of Production Economics, 2005, 9394, (1), 111119 View citations (2)
See also Working Paper (2000)
2004
 Comments on "Optimal Policies for a MultiEchelon Inventory Problem"
Management Science, 2004, 50, (12_supplement), 17911793 View citations (1)
 Optimal Policies for a MultiEchelon Inventory Problem
Management Science, 2004, 50, (12_supplement), 17821790 View citations (1)
Also in Management Science, 1960, 6, (4), 475490 (1960) View citations (309)
 Two new proofs of Afriat’s theorem
Economic Theory, 2004, 24, (1), 211219 View citations (53)
See also Working Paper (2004)
2002
 Inventory Theory
Operations Research, 2002, 50, (1), 186191
1998
 Matrices with Identical Sets of Neighbors
Mathematics of Operations Research, 1998, 23, (4), 863873
See also Working Paper (1996)
1994
 The Allocation of Resources in the Presence of Indivisibilities
Journal of Economic Perspectives, 1994, 8, (4), 111128 View citations (72)
See also Working Paper (1994)
1993
 An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming
INFORMS Journal on Computing, 1993, 5, (2), 206212 View citations (12)
See also Working Paper (1991)
 Shortest Integer Vectors
Mathematics of Operations Research, 1993, 18, (3), 516522
See also Working Paper (1991)
 The Frobenius Problem and Maximal Lattice Free Bodies
Mathematics of Operations Research, 1993, 18, (3), 511515 View citations (1)
See also Working Paper (1990)
1992
 The Generalized Basis Reduction Algorithm
Mathematics of Operations Research, 1992, 17, (3), 751764 View citations (10)
See also Working Paper (1990)
1990
 Mathematical Programming and Economic Theory
Operations Research, 1990, 38, (3), 377385 View citations (29)
See also Working Paper (1989)
 The Shapes of Polyhedra
Mathematics of Operations Research, 1990, 15, (2), 364380
See also Working Paper (1988)
1986
 Neighborhood Systems for Production Sets with Indivisibilities
Econometrica, 1986, 54, (3), 50732 View citations (25)
See also Working Paper (1984)
1985
 Integral Polyhedra in Three Space
Mathematics of Operations Research, 1985, 10, (3), 403438 View citations (3)
See also Working Paper (1982)
1981
 Comment on: "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example"
International Economic Review, 1981, 22, (2), 46970 View citations (3)
 Production Sets with IndivisibilitiesPart I: Generalities
Econometrica, 1981, 49, (1), 132 View citations (35)
 Production Sets with IndivisibilitiesPart II: The Case of Two Activities
Econometrica, 1981, 49, (2), 395423 View citations (35)
1976
 The Solution of Systems of Piecewise Linear Equations
Mathematics of Operations Research, 1976, 1, (1), 127 View citations (8)
See also Working Paper (1975)
1974
 On cores and indivisibility
Journal of Mathematical Economics, 1974, 1, (1), 2337 View citations (577)
1971
 On the existence of a coopertive solution for a general class of Nperson games
Journal of Economic Theory, 1971, 3, (2), 169181 View citations (38)
See also Working Paper (1970)
1969
 An Example of an Algorithm for Calculating General Equilibrium Prices
American Economic Review, 1969, 59, (4), 66977 View citations (10)
1960
 Some remarks on bayes solutions to the inventory problem
Naval Research Logistics Quarterly, 1960, 7, (4), 591596 View citations (13)
Books
2008
 Applied General Equilibrium Analysis
Cambridge Books, Cambridge University Press View citations (8)
Chapters
1993
 The computation of equilibrium prices: An exposition
Chapter 21 in Handbook of Mathematical Economics, 1993, vol. 2, pp 10071061 View citations (7)
See also Working Paper (1977)

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