Details about Herbert E. Scarf

This author is deceased (2015-11-15).

Access statistics for papers by Herbert E. Scarf.

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Short-id: psc54

Working Papers

2004

1. Neighborhood Complexes and Generating Functions for Affine Semigroups
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
   See also Chapter Neighborhood Complexes and Generating Functions for Affine Semigroups, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)
2. Two New Proofs of Afriat's Theorem
   Yale School of Management Working Papers, Yale School of Management View citations (77)
   Also in Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University (2003) View citations (4)
   Econometric Society 2004 North American Summer Meetings, Econometric Society (2004) View citations (62)
   See also Journal Article Two new proofs of Afriat’s theorem, Economic Theory, Springer (2004) View citations (58) (2004)

2003

3. Uniqueness of Equilibrium in the Multi-Country Ricardo Model
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University

2000

4. How to Compute Equilibrium Prices in 1891
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (19)
   See also Journal Article How to Compute Equilibrium Prices in 1891, American Journal of Economics and Sociology, Wiley Blackwell (2005) View citations (22) (2005)
5. 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 Optimal inventory policies when sales are discretionary, International Journal of Production Economics, Elsevier (2005) View citations (2) (2005)

1996

6. Matrices with Identical Sets of Neighbors
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
   See also Chapter Matrices with Identical Sets of Neighbors, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)

1994

7. The Allocation of Resources in the Presence of Indivisibilities
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (73)
   See also Journal Article The Allocation of Resources in the Presence of Indivisibilities, Journal of Economic Perspectives, American Economic Association (1994) View citations (72) (1994)
8. 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)
   See also Chapter The topological structure of maximal lattice free convex bodies: The general case, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)

1992

9. The Complex of Maximal Lattice Free Simplices
   Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)
   See also Chapter The complex of maximal lattice free simplices, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)
10. Tjalling Charles Koopmans (August 28, 1910-February 26, 1985)
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (1)

1991

11. An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
12. Economic Equilibrium and Soviet Economic Reform
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
13. Shortest Integer Vectors
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University

1990

14. 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 Chapter The Frobenius Problem and Maximal Lattice Free Bodies, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)
15. The Generalized Basis Reduction Algorithm
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)

1989

16. Mathematical Programming and Economic Theory
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (3)
    See also Journal Article Mathematical Programming and Economic Theory, Operations Research, INFORMS (1990) View citations (32) (1990)

1988

17. The Shapes of Polyhedra
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (4)

1984

18. Neighborhood Systems for Production Sets with Indivisibilities
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (1)
    See also Chapter Neighborhood Systems for Production Sets with Indivisibilities, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)
    Journal Article Neighborhood Systems for Production Sets with Indivisibilities, Econometrica, Econometric Society (1986) View citations (25) (1986)

1982

19. Integral Polyhedra in Three Spaces
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University
    See also Chapter Integral Polyhedra in Three Space, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)

1979

20. Production Sets with Indivisibilities: Generalities and the Case of Two Variables
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University

1977

21. An Observation on the Structure of Production Sets with Indivisibilities
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (9)
    See also Chapter An observation on the structure of production sets with indivisibilities, Palgrave Macmillan Books, Palgrave Macmillan (2008) (2008)
22. 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 The computation of equilibrium prices: An exposition, Handbook of Mathematical Economics, Elsevier (1993) View citations (7) (1993)

1975

23. The Solution of Systems of Piecewise Linear Equations
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (4)

1970

24. On the Existence of a Cooperative Solution for a General Class of N-Person Games
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (7)
    See also Journal Article On the existence of a coopertive solution for a general class of N-person games, Journal of Economic Theory, Elsevier (1971) View citations (39) (1971)

1969

25. An Example of an Algorithm for Calculating General Equilibrium
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (10)
26. On The Applications of a Recent Combinatorial Algorithm
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (2)

1967

27. On the Computation of Equilibrium Prices
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (52)
28. The Approximation of Fixed Points of a Continuous Mapping
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (133)

1966

29. An Algorithm for a Class of Nonconvex Programming Problems
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University

1965

30. The Core of an N Person Game
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (72)

1959

31. Some Examples of Global Instability of the Competitive Equilibrium
    Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University View citations (37)

Journal Articles

2009

1. My introduction to top-trading cycles
   Games and Economic Behavior, 2009, 66, (2), 630-631 View citations (1)

2005

2. How to Compute Equilibrium Prices in 1891
   American Journal of Economics and Sociology, 2005, 64, (1), 57-83 View citations (22)
   See also Working Paper How to Compute Equilibrium Prices in 1891, Cowles Foundation Discussion Papers (2000) View citations (19) (2000)
3. Optimal inventory policies when sales are discretionary
   International Journal of Production Economics, 2005, 93-94, (1), 111-119 View citations (2)
   See also Working Paper Optimal Inventory Policies When Sales Are Discretionary, Cowles Foundation Discussion Papers (2000) View citations (2) (2000)

2004

4. Comments on "Optimal Policies for a Multi-Echelon Inventory Problem"
   Management Science, 2004, 50, (12_supplement), 1791-1793 View citations (1)
5. Optimal Policies for a Multi-Echelon Inventory Problem
   Management Science, 2004, 50, (12_supplement), 1782-1790 View citations (1)
   Also in Management Science, 1960, 6, (4), 475-490 (1960) View citations (324)
6. Two new proofs of Afriat’s theorem
   Economic Theory, 2004, 24, (1), 211-219 View citations (58)
   See also Working Paper Two New Proofs of Afriat's Theorem, Yale School of Management Working Papers (2004) View citations (77) (2004)

2002

7. Inventory Theory
   Operations Research, 2002, 50, (1), 186-191

1994

8. The Allocation of Resources in the Presence of Indivisibilities
   Journal of Economic Perspectives, 1994, 8, (4), 111-128 View citations (72)
   See also Working Paper The Allocation of Resources in the Presence of Indivisibilities, Cowles Foundation Discussion Papers (1994) View citations (73) (1994)

1990

9. Mathematical Programming and Economic Theory
   Operations Research, 1990, 38, (3), 377-385 View citations (32)
   See also Working Paper Mathematical Programming and Economic Theory, Cowles Foundation Discussion Papers (1989) View citations (3) (1989)

1986

10. Neighborhood Systems for Production Sets with Indivisibilities
    Econometrica, 1986, 54, (3), 507-32 View citations (25)
    See also Working Paper Neighborhood Systems for Production Sets with Indivisibilities, Cowles Foundation Discussion Papers (1984) View citations (1) (1984)
    Chapter Neighborhood Systems for Production Sets with Indivisibilities, Palgrave Macmillan Books, 2008, 105-130 (2008) (2008)

1981

11. Comment on: "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example"
    International Economic Review, 1981, 22, (2), 469-70 View citations (3)
12. Production Sets with Indivisibilities-Part I: Generalities
    Econometrica, 1981, 49, (1), 1-32 View citations (35)
    See also Chapter Production Sets with Indivisibilities Part I: Generalities, Palgrave Macmillan Books, 2008, 7-38 (2008) (2008)
13. Production Sets with Indivisibilities-Part II: The Case of Two Activities
    Econometrica, 1981, 49, (2), 395-423 View citations (35)
    See also Chapter Production Sets with Indivisibilities Part II. The Case of Two Activities, Palgrave Macmillan Books, 2008, 39-67 (2008) (2008)

1974

14. On cores and indivisibility
    Journal of Mathematical Economics, 1974, 1, (1), 23-37 View citations (681)

1971

15. On the existence of a coopertive solution for a general class of N-person games
    Journal of Economic Theory, 1971, 3, (2), 169-181 View citations (39)
    See also Working Paper On the Existence of a Cooperative Solution for a General Class of N-Person Games, Cowles Foundation Discussion Papers (1970) View citations (7) (1970)

1969

16. An Example of an Algorithm for Calculating General Equilibrium Prices
    American Economic Review, 1969, 59, (4), 669-77 View citations (10)

1960

17. Some remarks on bayes solutions to the inventory problem
    Naval Research Logistics Quarterly, 1960, 7, (4), 591-596 View citations (13)

Books

2008

1. Applied General Equilibrium Analysis
   Cambridge Books, Cambridge University Press View citations (8)

Chapters

2008

1. An observation on the structure of production sets with indivisibilities
   Palgrave Macmillan
   See also Working Paper An Observation on the Structure of Production Sets with Indivisibilities, Cowles Foundation for Research in Economics, Yale University (1977) View citations (9) (1977)
2. Integral Polyhedra in Three Space
   Palgrave Macmillan
   See also Working Paper Integral Polyhedra in Three Spaces, Cowles Foundation for Research in Economics, Yale University (1982) (1982)
3. Matrices with Identical Sets of Neighbors
   Palgrave Macmillan
   See also Working Paper Matrices with Identical Sets of Neighbors, Cowles Foundation for Research in Economics, Yale University (1996) (1996)
4. Neighborhood Complexes and Generating Functions for Affine Semigroups
   Palgrave Macmillan
   See also Working Paper Neighborhood Complexes and Generating Functions for Affine Semigroups, Cowles Foundation for Research in Economics, Yale University (2004) (2004)
5. Neighborhood Systems for Production Sets with Indivisibilities
   Palgrave Macmillan
   See also Working Paper Neighborhood Systems for Production Sets with Indivisibilities, Cowles Foundation for Research in Economics, Yale University (1984) View citations (1) (1984)
   Journal Article Neighborhood Systems for Production Sets with Indivisibilities, Econometric Society (1986) View citations (25) (1986)
6. Production Sets with Indivisibilities Part I: Generalities
   Palgrave Macmillan
   See also Journal Article Production Sets with Indivisibilities-Part I: Generalities, Econometric Society (1981) View citations (35) (1981)
7. Production Sets with Indivisibilities Part II. The Case of Two Activities
   Palgrave Macmillan
   See also Journal Article Production Sets with Indivisibilities-Part II: The Case of Two Activities, Econometric Society (1981) View citations (35) (1981)
8. Test sets for integer programs
   Palgrave Macmillan
9. Testing for optimality in the absence of convexity
   Palgrave Macmillan
10. The Frobenius Problem and Maximal Lattice Free Bodies
    Palgrave Macmillan
    See also Working Paper The Frobenius Problem and Maximal Lattice Free Bodies, Cowles Foundation for Research in Economics, Yale University (1990) View citations (1) (1990)
11. The Structure of the Complex of Maximal Lattice Free Bodies for a Matrix of Size (n + 1) × n
    Palgrave Macmillan
12. The complex of maximal lattice free simplices
    Palgrave Macmillan
    See also Working Paper The Complex of Maximal Lattice Free Simplices, Cowles Foundation for Research in Economics, Yale University (1992) View citations (2) (1992)
13. The topological structure of maximal lattice free convex bodies: The general case
    Palgrave Macmillan
    See also Working Paper The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case, Cowles Foundation for Research in Economics, Yale University (1994) View citations (2) (1994)

1993

14. The computation of equilibrium prices: An exposition
    Chapter 21 in Handbook of Mathematical Economics, 1993, vol. 2, pp 1007-1061 View citations (7)
    See also Working Paper The Computation of Equilibrium Prices: An Exposition, Cowles Foundation for Research in Economics, Yale University (1977) View citations (2) (1977)