# Herbert E. Scarf

### Contents:

## Personal Details

First Name: | Herbert |

Middle Name: | E. |

Last Name: | Scarf |

Suffix: | |

RePEc Short-ID: | psc54 |

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

This author is deceased (Date: 15 Nov 2015)

This author is featured on the following reading lists, publication compilations or Wikipedia entries:

- Herbert Scarf in Wikipedia (German)

- 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;Society for the Advancement of Economic Theory (SAET), 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. - 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.

- A. Fostel & H. Scarf & M. Todd, 2004.
"
- Herbert E. Scarf & Kevin M. Woods, 2004.
"
**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. - 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. - 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.
"
- Imre Barany & Herbert E. Scarf, 1996.
"
**Matrices with Identical Sets of Neighbors**," Cowles Foundation Discussion Papers 1127, 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.
"
- 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. - 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. - Herbert E. Scarf, 1992.
"
**Tjalling Charles Koopmans (August 28, 1910-February 26, 1985)**," Cowles Foundation Discussion Papers 1029, 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. - 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 & Laszlo Lovasz, 1990.
"
**The Generalized Basis Reduction Algorithm**," Cowles Foundation Discussion Papers 946, 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, 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.
"
- 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.
"
**An Observation on the Structure of Production Sets with Indivisibilities**," Cowles Foundation Discussion Papers 453, 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.
"
- 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.
"
- 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. - Terje Hensen & Herbert E. Scarf, 1969.
"
**On The Applications of a Recent Combinatorial Algorithm**," Cowles Foundation Discussion Papers 272, 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, 1967.
"
**On the Computation of Equilibrium Prices**," Cowles Foundation Discussion Papers 232, 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.

- 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;Society for the Advancement of Economic Theory (SAET), 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.
"

- 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.
"

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

- No paper was announced in a field specific NEP report

- 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
- Number of Citations, Weighted by Recursive Impact Factor
- Number of Citations, Weighted by Number of Authors
- Number of Citations, Weighted by Number of Authors and Simple Impact Factors
- Number of Citations, Weighted by Number of Authors and Recursive Impact Factors
- Number of Journal Pages, Weighted by Recursive Impact Factor
- Number of Journal Pages, Weighted by Number of Authors and Simple Impact Factors
- Number of Journal Pages, Weighted by Number of Authors and Recursive Impact Factors
- Wu-Index
- Euclidian citation count
- Record of graduates

#### 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

To update listings or check citations waiting for approval, Herbert Scarf should log into the RePEc Author Service

To make corrections to the bibliographic information of a particular item, find the technical contact on the abstract page of that item. There, details are also given on how to add or correct references and citations.

To link different versions of the same work, where versions have a different title, use this form. Note that if the versions have a very similar title and are in the author's profile, the links will usually be created automatically.

Please note that most corrections can take a couple of weeks to filter through the various RePEc services.