# Herbert E. Scarf

## Personal Details

First Name: Herbert

Middle Name: E.

Last Name: Scarf

Suffix:

RePEc Short-ID: psc54

Email:

Homepage:
http://cowles.econ.yale.edu/~scarf/index.htm

Postal Address:

Phone:

## Affiliation

(in no particular order)#### Cowles Foundation for Research in Economics

Location: New Haven, Connecticut (United States)

Yale University

Homepage: http://cowles.econ.yale.edu/

Email:

Phone: (203) 432-3702

Fax: (203) 432-6167

Postal: PO Box 8281, New Haven CT, 06520-8281

Handle: RePEc:edi:cowleus (more details at EDIRC)#### Economics Department

Location: New Haven, Connecticut (United States)

Yale University

Homepage: http://www.econ.yale.edu/

Email:

Phone: (203) 432-3576

Fax: (203) 432-5779

Postal: PO Box 8268, New Haven CT 06520-8268

Handle: RePEc:edi:edyalus (more details at EDIRC)

## Lists

This author is featured on the following reading lists, publication compilations or Wikipedia entries:- Herbert Scarf in Wikipedia (English)
- Herbert Scarf in Wikipedia (German)

## Works

#### Working papers

- M.J. Todd & A. Fostel & H.E. Scarf, 2004.
"
**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society.- A. Fostel & H. Scarf & M. Todd, 2004.
"
**Two new proofs of Afriatâ€™s theorem**," Economic Theory, Springer, vol. 24(1), pages 211-219, 07.

- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management. - Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"
**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

- A. Fostel & H. Scarf & M. Todd, 2004.
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- Herbert E. Scarf & Kevin M. Woods, 2004.
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**Neighborhood Complexes and Generating Functions for Affine Semigroups**," Cowles Foundation Discussion Papers 1458, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf & Wilson, Charles A. Wilson, 2003.
"
**Uniqueness of Equilibrium in the Multi-Country Ricardo Model**," Cowles Foundation Discussion Papers 1431, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 2000.
"
**Optimal Inventory Policies When Sales Are Discretionary**," Cowles Foundation Discussion Papers 1270, Cowles Foundation for Research in Economics, Yale University.- Scarf, Herbert E., 2005.
"
**Optimal inventory policies when sales are discretionary**," International Journal of Production Economics, Elsevier, vol. 93(1), pages 111-119, January.

- Scarf, Herbert E., 2005.
"
- William C. Brainard & Herbert E. Scarf, 2000.
"
**How to Compute Equilibrium Prices in 1891**," Cowles Foundation Discussion Papers 1272, Cowles Foundation for Research in Economics, Yale University. - Imre Barany & Herbert E. Scarf, 1996.
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**Matrices with Identical Sets of Neighbors**," Cowles Foundation Discussion Papers 1127, Cowles Foundation for Research in Economics, Yale University. - Imre Barany & Herbert E. Scarf & David F. Shallcross, 1994.
"
**The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case**," Cowles Foundation Discussion Papers 1087, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1994.
"
**The Allocation of Resources in the Presence of Indivisibilities**," Cowles Foundation Discussion Papers 1068, Cowles Foundation for Research in Economics, Yale University.- Herbert Scarf, 1994.
"
**The Allocation of Resources in the Presence of Indivisibilities**," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.

- Herbert Scarf, 1994.
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- Herbert E. Scarf, 1992.
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**Tjalling Charles Koopmans (August 28, 1910-February 26, 1985)**," Cowles Foundation Discussion Papers 1029, Cowles Foundation for Research in Economics, Yale University. - Imre Barany & Roger Howe & Herbert E. Scarf, 1992.
"
**The Complex of Maximal Lattice Free Simplices**," Cowles Foundation Discussion Papers 1032, Cowles Foundation for Research in Economics, Yale University. - William Cook & Thomas Rutherford & Herbert E. Scarf & David F. Shallcross, 1991.
"
**An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming**," Cowles Foundation Discussion Papers 990, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf & Shallcross, David F., 1991.
"
**Shortest Integer Vectors**," Cowles Foundation Discussion Papers 965, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1991.
"
**Economic Equilibrium and Soviet Economic Reform**," Cowles Foundation Discussion Papers 969, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf & Shallcross, David F., 1990.
"
**The Frobenius Problem and Maximal Lattice Free Bodies**," Cowles Foundation Discussion Papers 945, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf & Laszlo Lovasz, 1990.
"
**The Generalized Basis Reduction Algorithm**," Cowles Foundation Discussion Papers 946, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1989.
"
**Mathematical Programming and Economic Theory**," Cowles Foundation Discussion Papers 930, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf & R. Kannan & Laszlo Lovasz, 1988.
"
**The Shapes of Polyhedra**," Cowles Foundation Discussion Papers 883, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1984.
"
**Neighborhood Systems for Production Sets with Indivisibilities**," Cowles Foundation Discussion Papers 728, Cowles Foundation for Research in Economics, Yale University.- Scarf, Herbert E, 1986.
"
**Neighborhood Systems for Production Sets with Indivisibilities**," Econometrica, Econometric Society, vol. 54(3), pages 507-32, May.

- Scarf, Herbert E, 1986.
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- Herbert E. Scarf, 1982.
"
**Integral Polyhedra in Three Spaces**," Cowles Foundation Discussion Papers 632, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1979.
"
**Production Sets with Indivisibilities: Generalities and the Case of Two Variables**," Cowles Foundation Discussion Papers 526, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1977.
"
**The Computation of Equilibrium Prices: An Exposition**," Cowles Foundation Discussion Papers 473, Cowles Foundation for Research in Economics, Yale University.- Scarf, Herbert E., 1993.
"
**The computation of equilibrium prices: An exposition**," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 21, pages 1007-1061 Elsevier.

- Scarf, Herbert E., 1993.
"
- Herbert E. Scarf, 1977.
"
**An Observation on the Structure of Production Sets with Indivisibilities**," Cowles Foundation Discussion Papers 453, Cowles Foundation for Research in Economics, Yale University. - B. Curtis Eaves & Herbert E. Scarf, 1975.
"
**The Solution of Systems of Piecewise Linear Equations**," Cowles Foundation Discussion Papers 390, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1970.
"
**On the Existence of a Cooperative Solution for a General Class of N-Person Games**," Cowles Foundation Discussion Papers 293, Cowles Foundation for Research in Economics, Yale University.- Scarf, Herbert E., 1971.
"
**On the existence of a coopertive solution for a general class of N-person games**," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.

- Scarf, Herbert E., 1971.
"
- Terje Hensen & Herbert E. Scarf, 1969.
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**On The Applications of a Recent Combinatorial Algorithm**," Cowles Foundation Discussion Papers 272, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1969.
"
**An Example of an Algorithm for Calculating General Equilibrium**," Cowles Foundation Discussion Papers 276, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1967.
"
**On the Computation of Equilibrium Prices**," Cowles Foundation Discussion Papers 232, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1967.
"
**The Approximation of Fixed Points of a Continuous Mapping**," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1966.
"
**An Algorithm for a Class of Nonconvex Programming Problems**," Cowles Foundation Discussion Papers 211, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1965.
"
**The Core of an N Person Game**," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University. - Herbert E. Scarf, 1959.
"
**Some Examples of Global Instability of the Competitive Equilibrium**," Cowles Foundation Discussion Papers 79, Cowles Foundation for Research in Economics, Yale University.

#### Articles

- Scarf, Herbert, 2009.
"
**My introduction to top-trading cycles**," Games and Economic Behavior, Elsevier, vol. 66(2), pages 630-631, July. - William C. Brainard & Herbert E. Scarf, 2005.
"
**Brainard and Scarf on Equilibrium Prices**," American Journal of Economics and Sociology, Wiley Blackwell, vol. 64(1), pages 57-83, 01. - Scarf, Herbert E., 2005.
"
**Optimal inventory policies when sales are discretionary**," International Journal of Production Economics, Elsevier, vol. 93(1), pages 111-119, January.- Herbert E. Scarf, 2000.
"
**Optimal Inventory Policies When Sales Are Discretionary**," Cowles Foundation Discussion Papers 1270, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf, 2000.
"
- A. Fostel & H. Scarf & M. Todd, 2004.
"
**Two new proofs of Afriatâ€™s theorem**," Economic Theory, Springer, vol. 24(1), pages 211-219, 07.- Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"
**Two New Proofs of Afriat's Theorem**," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University. - M.J. Todd & A. Fostel & H.E. Scarf, 2004.
"
**Two New Proofs of Afriat's Theorem**," Econometric Society 2004 North American Summer Meetings 632, Econometric Society. - Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004.
"
**Two New Proofs of Afriat's Theorem**," Yale School of Management Working Papers ysm377, Yale School of Management.

- Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"
- Herbert Scarf, 2004.
"
**Comments on "Optimal Policies for a Multi-Echelon Inventory Problem"**," Management Science, INFORMS, vol. 50(12_supple), pages 1791-1793, December. - Herbert Scarf, 1994.
"
**The Allocation of Resources in the Presence of Indivisibilities**," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.- Herbert E. Scarf, 1994.
"
**The Allocation of Resources in the Presence of Indivisibilities**," Cowles Foundation Discussion Papers 1068, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf, 1994.
"
- Scarf, Herbert E, 1986.
"
**Neighborhood Systems for Production Sets with Indivisibilities**," Econometrica, Econometric Society, vol. 54(3), pages 507-32, May.- Herbert E. Scarf, 1984.
"
**Neighborhood Systems for Production Sets with Indivisibilities**," Cowles Foundation Discussion Papers 728, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf, 1984.
"
- Scarf, Herbert E, 1981.
"
**Production Sets with Indivisibilities-Part I: Generalities**," Econometrica, Econometric Society, vol. 49(1), pages 1-32, January. - Scarf, Herbert, 1981.
"
**Comment on: "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example"**," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 469-70, June. - Scarf, Herbert E, 1981.
"
**Production Sets with Indivisibilities-Part II: The Case of Two Activities**," Econometrica, Econometric Society, vol. 49(2), pages 395-423, March. - Shapley, Lloyd & Scarf, Herbert, 1974.
"
**On cores and indivisibility**," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. - Scarf, Herbert E., 1971.
"
**On the existence of a coopertive solution for a general class of N-person games**," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.- Herbert E. Scarf, 1970.
"
**On the Existence of a Cooperative Solution for a General Class of N-Person Games**," Cowles Foundation Discussion Papers 293, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf, 1970.
"
- Scarf, Herbert, 1969.
"
**An Example of an Algorithm for Calculating General Equilibrium Prices**," American Economic Review, American Economic Association, vol. 59(4), pages 669-77, Part I Se. - Andrew J. Clark & Herbert Scarf, 1960.
"
**Optimal Policies for a Multi-Echelon Inventory Problem**," Management Science, INFORMS, vol. 6(4), pages 475-490, July.- Andrew J. Clark & Herbert Scarf, 2004.
"
**Optimal Policies for a Multi-Echelon Inventory Problem**," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.

- Andrew J. Clark & Herbert Scarf, 2004.
"

#### Chapters

- Scarf, Herbert E., 1993.
"
**The computation of equilibrium prices: An exposition**," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 21, pages 1007-1061 Elsevier.- Herbert E. Scarf, 1977.
"
**The Computation of Equilibrium Prices: An Exposition**," Cowles Foundation Discussion Papers 473, Cowles Foundation for Research in Economics, Yale University.

- Herbert E. Scarf, 1977.
"

#### Books

- Scarf,Herbert E. & Shoven,John B., 2008.
"
**Applied General Equilibrium Analysis**," Cambridge Books, Cambridge University Press, number 9780521070935.

## NEP Fields

5 papers by this author were announced in NEP, and specifically in the following field reports (number of papers):- No paper was announced in a field specific NEP report

## Statistics

This author is among the top 5% authors according to these criteria:- Number of Distinct Works, Weighted by Simple Impact Factor
- Number of Distinct Works, Weighted by Recursive Impact Factor
- Number of Distinct Works, Weighted by Number of Authors and Simple Impact Factors
- Number of Distinct Works, Weighted by Number of Authors and Recursive Impact Factors
- Number of Citations
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- Number of Citations, Weighted by Number of Authors and Recursive Impact Factors
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- Number of Journal Pages, Weighted by Number of Authors and Recursive Impact Factors
- Wu-Index
- Strength of students

#### Most cited item

- Shapley, Lloyd & Scarf, Herbert, 1974.
"
**On cores and indivisibility**," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.

#### Most downloaded item (past 12 months)

- Shapley, Lloyd & Scarf, Herbert, 1974.
"
**On cores and indivisibility**," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.

#### Access and download statistics for all items

#### Co-authorship network on CollEc

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