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Guide to the Herbert Scarf Papers, 1951-2015

Summary

Herbert Scarf (1930-2015) was an economist and mathematician, and worked as a professor of economics at Yale University and the Cowles Foundation for Research in Economics. This collection consists of his correspondence, research, and writings, as well as his collaborations and professional affiliations across the fields of economics, mathematics, and operations research.

Collection Details

Collection Number
RL.11619
Title
Herbert Scarf papers
Date
1951-2015
Creator
Scarf, Herbert E.
Extent
33 Linear Feet
Repository
David M. Rubenstein Rare Book & Manuscript Library
Language
Materials in English

Collection Overview

The Herbert Scarf Papers document his career as an economist and mathematician. The collection provides an overview of his professional activities, particularly his research and writings on the computation of economic equilibrium and fixed points, stability of general equilibrium, the core of many-person games and its relation to general equilibrium, integer programming, and problems of production with indivisibilities. Much of Scarf's work serves as the basis for applied general equilibrium models, and as a precursor to modern computational and simulation approaches to economics.

The collection also documents his collaboration and communications with prominent economists and mathematicians such as Kenneth Arrow, Gerard Debreu, Ralph Gomory, Terje Hansen, Werner Hildenbrand, Tjalling Koopmans, Harold Kuhn, Lloyd Shapley, John Shoven, Martin Shubik, John Whalley, and many others.

Along with his own scholarship and writings, the collection documents Scarf's leadership roles in the American Economic Association, the American Academy of Arts and Sciences, the Econometric Society, and other organizations; and his departmental roles, committee work, and teaching contributions in the economics, operations research, and applied mathematics programs at Yale University.

More Biographical / Historical Info

Arrangement

Collection is arranged into series: Correspondence (including name files); Writings; Research and Notes; Academia; and Personal.

Using These Materials

A majority of collections are stored off site and must be requested at least 2 full business days in advance for retrieval. Contact Rubenstein Library staff before visiting. Read More »

warning Access to the Collection

Collection is open for research.

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The copyright interests in this collection have not been transferred to Duke University. For more information, consult the copyright section of the Regulations and Procedures of the David M. Rubenstein Rare Book & Manuscript Library.

More copyright and citation information

How to Cite

[Identification of item], Herbert Scarf Papers, David M. Rubenstein Rare Book & Manuscript Library, Duke University.

Contents of the Collection

1. Correspondence, 1959-2012

Contains Scarf's name files on various individuals and general correspondence. Scarf maintained correspondence files for particular individuals of note and his Ph.D. advisees (including copies of dissertations), while collecting other correspondence in General Correspondence folders. This series also contains Scarf's correspondence with various publishers and academic journals. Correspondents of note include Kenneth Arrow, Gerard Debreu, Duncan Foley, Ralph Gomory, Werner Hildenbrand, Tim Kehoe, Tjalling Koopmans, Harold Kuhn, Michael Mandler, Rolf Mantel, Joan Robinson, John Shoven, Martin Shubik, and John Whalley.

Andersen, Torben, 1989-1991
Box 1
Arrow, Kenneth, 1970-1971

Includes discussion of terminology used in economic theory and routine correspondence

Box 1
Arrow Festschrift Volume, 1983

Includes correspondence about a possible contribution to a festschrift volume in honor of Arrow

Box 1
Barany, Imre, 1988-1996
Box 1
Bender, Judith, 1991-1992
Box 1
Caplin, Andrew, 1983

Includes dissertation

Box 1
Chou, Chien-Fu, 1991-1994
Box 1
Cook, William, 1990-1993
Box 1
Dang, Chuangyin, 1994-1997
(2 folders)
Box 1
Debreu, Gerard, 1961-1992
(2 folders)
Box 1
Dybvig, Phili Hallen, 1979

Includes dissertation

Box 1
Eaves, Curtis, 1971-1985

Includes correspondence on dynamic programming and other routine correspondence

Box 1
Feltenstein, Andrew, 1974-1996
(2 folders)

Includes dissertation

Box 1
Fixed Points - material & correspondence pertaining to this, 1975-1976

Includes correspondence on fixed points

Box 1
Foley, Duncan, 1965-1991

Includes dissertation and correspondence on asset equilibrium with risk and equilibrium in exchange economies

Box 1
Giannetti da Fonseca, Marcos, 1978

Includes dissertation

Box 1
Gomory, Ralph, 1990-1995
(2 folders)

Includes correspondence on the existence of equilibrium with economies of scale and a model of international trade with increasing returns

Box 1
Hemmecke, Raymond, 1998
Box 1
Hansen, Terje, 1972

Includes correspondence on algorithms for computing fixed points

Box 1
Hartley, Michael, 1993
Box 1
Hildenbrand, Werner, 1972-1991

Includes correspondence on the core of economies and other routine correspondence

Box 1
Ibragimov, Rustan, 2005

Includes dissertation

Box 1
Kanaan, Oussama, 1992
Box 1
Kannan, Ravindran, 1987-1990
Box 1
Kaplan, Elliot, 1996-1997
Box 1
Kehoe, Timothy J., 1986-1997

Includes routine correspondence

Box 1
Keynes, J.M., 1990s

Includes modern copy of a 1938 letter by Keynes to FDR

Box 1
Khachiyan, Leonid, 1990
Box 1
Koopmans, Tjalling, 1960-1991

Includes correspondence on computation of equilibrium, optimal growth, and other routine correspondence

Box 1
Koopmans, Tjalling, 1991-1998
(2 folders)

Includes correspondence about Koopmans's life by Truus Koopmans, research for a book by Albert Jolink and Philip Mirowski, and drafts and notes for a biography and memorial tribute

Box 2
Kuhn, Harold, 1968-1988
(2 folders)

Includes correspondence about simplex algorithms and the computation of fixed points

Box 2
Lee, Jonathan, 1993
Box 2
Lenstra's Algorithm, 1980-1982

Includes correspondence about methods of integer programming

Box 2
Leonard, Robert, 1991-1992

Includes interview on the history of game theory and general equilibrium

Box 2
Levy, Frank S., 1968-1969
(2 folders)

Includes dissertation

Box 2
Lovasz, Laszlo, 1986-1993
(2 folders)

Includes correspondence about computation of fixed points

Box 2
Mandler, Michael, 1989

Includes dissertation

Box 2
Mantel, Rolf & Ana, 1964-1974

Includes dissertation

Box 2
Markowitz, Harry, 1985
Box 2
Martirena-Mantel, Ana Maria, 1965

Includes dissertation

Box 2
Noguchi, Yukio, 1972

Includes dissertation

Box 2
Proschen, Frank, 1959

Includes dissertation

Box 2
Reichert, Joshua, 1986

Includes dissertation

Box 2
Richter, Donald K., 1968-1972

Includes dissertation

Box 2
Rikun, Anatoly D., 1992-1995
Box 2
Rivlin, Alice, 1992
Box 2
Robinson, Joan, 1969-1970

Includes correspondence about stationary states of economies

Box 2
Rutherford, Tom, 1988-1992

Includes dissertation

Box 2
Samuelson, Paul, 1992

Includes correspondence about the application of the computation of fixed points to transport problems

Box 2
Serra-Puche, Jaime, 1979

Includes dissertation

Box 2
Shallcross, David, 1988-1991
Box 2
Shoven, John, 1972-1992
(2 folders)

Includes dissertation and correspondence on applied general equilibrium models with taxation

Box 2
Shubik, Martin, 1961-1995
(2 folders)

Includes correspondence about the core and competitive equilibrium as well as routine correspondence

Box 3
Smale, Stephen, 1984

Includes brief articles by Smale

Box 3
Thomas, Rekha R., 1993-1994
Box 3
Todd, Michael, 1972-1976

Includes dissertation

Box 3
Tversky, Amos, 1993-1996

Includes routine correspondence about Tversky

Box 3
Wang, Xin, 1991-1996
(2 folders)

Includes dissertation

Box 3
Whalley, John E., 1972-1996
(2 folders)

Includes dissertation and correspondence on applied general equilibrium modeling

Box 3
White, Philip, 1983

Includes dissertation

Box 3
Yang, Zaifu, 1995-1997
Box 3
Zamansky, Leo, 1991-1992
Box 3
Zhao, Jingang, 1991-2000
(2 folders)

Includes dissertation

Box 3
Zhou, Lin, 1995
Box 3
General Correspondence, 1962-1985
(4 folders)
Box 3
General Correspondence, 1985-2004
(6 folders)
Box 4
American Scientist, 1981-1983
Box 4
Annals of Economic Theory (Journal), 1989
Box 4
Cambridge University Press, 2012
Box 4
Discrete Applied Mathematics (Journal), 1978-1993
Box 4
Econometrica, 1983-1990
Box 4
Economic Theory (Journal-Editor), 1990-1995
Box 4
Games and Economic Behavior, 1988-1992
Box 4
Journal of Mathematical Economics, 1972-1997
Box 4
Macmillan Press, Ltd., 1985
Box 4
Operations Research, 1987-1995
Box 4
Yale University Press, 1973-1974
Box 4

2. Conferences and Organizations, 1960-2003 and undated

This series includes files on Scarf's professional activities. These include: conference and workshop presentations; files related to service with professional organizations and research institutes and organizations; and files from advising on award committees.

AAAS (American Academy of Arts & Sciences), 1982-1997
Box 4
AAAS: Koopmans Scholarship, 1986
Box 4
AEA (American Economic Association), 1992-1995
Box 4
AEA: Nominating Committee, 1992-1994
Box 4
AEA: US/USSE Exchange, 1990-1991
Box 4
American Philosophical Society, 1993-1998
Box 4
AMS-IMS-SIAM, 2003

Files related to conference in the mathematical sciences

Box 4
Berlin, 1996

Files related to workshop on integer programming

Box 4
Center for Advanced Study in the Behavioral Sciences, 1962-1995

Files related to fellowship at center

Box 4
COCOA Summer School, 1999
Box 4
Conference in Honor of Ralph Gomory, undated

Conference program and presentation transparencies

Box 4
Connecticut Academy of Science and Engineering, 1976-1991
Box 4
CORS/TIMS/ORSA Joint National Meeting, 1989

Materials for conference meetings

Box 4
Daedalus (June 1972 Conference at Princeton), 1972
Box 4
Econometric Society, 1960-1997
(2 folders)

Includes files for society fellowship nominations and correspondence related to serving as president and past-president of the society

Box 4
Ford Foundation, 1967-1969

Includes files for proposed international institute sponsored by the foundation

Box 4
General Equilibrium Trade Policy Conference, 1984

Files for conference at Columbia University

Box 4
Geometry of Numbers & Discrete Production Sets, 1992-1995
(2 folders)

Includes files for NSF-funded project

Box 5
Geometry of Numbers and Integer Programming, 1989, undated
(2 folders)

Includes files and transparencies for presentations on integer programming

Box 5
Guggenheim Fellowship, 1985-1986
Box 5
IBM Contract (with Shallcross), 1991-1992

Includes files for joint study conducted by Yale and IBM, coordinated by Scarf and David Shallcross

Box 5
IIASA (International Institute for Applied System Analysis), 1971-1989
(3 folders)

Includes files for conferences hosted by the institute

Box 5
International Symposium on Mathematical Programming, 1997
Box 5
KTH (Sweden) Meeting and IPCO (Denmark), 1995

Includes files related to travel for collaboration between Swedish Royal Institute of Technology and Yale, as well as files for conference on Integer Programming and Combinatorial Optimization (IPCO) in Copenhagen sponsored by the Mathematical Optimization Society

Box 5
Lecture/Seminars/Talks/Workshops/Conferences, 1969-1994
(9 folders)

Includes correspondence and documents related to various presentations and events

Box 5
MSRI (Mathematical Sciences Research Institute), 1985-1987

Includes files for visits to institute

Box 5
MSRI: Conference Berkeley, 1997

Includes files for conference Scarf did not attend

Box 5
Mathematics of Operations Research, 1999
(2 folders)

Includes files for conference presentation in Lunteren, Netherlands

Box 5
MUG (Model Users Group) International, 1995
Box 5
NAS (National Academy of Sciences), 1976-1991
(2 folders)

Includes files related to serving as chair of the Economic Sciences section of the academy

Box 5
NAS: Ad Hoc Committee - Cost/Benefit Analysis, 1977-1978

Includes files for committee service evaluating use of cost/benefits analysis for environmental research

Box 5
NAS: Committee on Human Rights, 1977-1994

Includes files related to serving on committee

Box 5
NAS: Elections, 1976-2000
Box 5
NAS: Expenses, 1979-1994
Box 5
NAS: Meetings, 1985-1995
Box 5
NAS: Personal, 1976-1995

Includes notes of congratulations for election to academy

Box 5
NAS: Proceedings, 1985-1988

Includes files related to serving on editorial board of Proceedings of the National Academy of Sciences

Box 5
NAS: Section Chairman, 1991-1995

Includes files related to serving as chair of the Economic Sciences section of the academy

Box 5
NBER (National Bureau of Economic Research), 1984-1985
(2 folders)

Includes files for NBER workshop on applied general equilibrium

Box 5
NSF (National Science Foundation): Budget Cuts, 1979-1981

Includes letters to Congress arguing against cuts to NSF funding

Box 5
NSF: Evaluations of Proposals, 1984-1995

Includes files for evaluating proposals submitted to the NSF

Box 5
NSF: Grant - Scarf/Shoven, 1985

Includes proposal for grant to fund NBER workshops and research on applied general equilibrium

Box 6
NSF: Grant - Geometry of Numbers & Discrete Production Sets, 1988-1992
Box 6
NSF: Grant - Indivisibilities in Production, 1977-1988
(7 folders)

Includes files for grant-funded research on indivisibilities in production

Box 6
NSF: Miscellaneous, 1981-1990
(2 folders)
Box 6
NSF: Monthly Statements, 1985-1988
Box 6
NSF: Proposal - Integer Programming (declined), 1988
Box 6
NSF: Proposal - Discrete Production Sets (declined), 1995
Box 6
Nobel Nominations, 1972-1999
Box 6
One Hundred Economists - Fixing the Economy, 1992

Includes correspondence related to open letter by economists to President George Bush on plans for economic recovery

Box 6
Ricardo Model Presentation, undated

Includes transparencies for a presentation on a Ricardo model of international trade

Box 6
Russell Sage Foundation, 1987-1996

Includes correspondence related to the foundation's visiting scholars program

Box 6
Santa Fe Institute, 1991-1996

Includes files for institute workshops on integer programming, computational complexity, and increasing returns

Box 6
Scarf Invitations, 1984-1994

Includes accepted and declined invitations to conferences and workshops

Box 6
T.N. Srinivasan Birthday, undated

Includes presentation slides for conference celebrating Srinivasan's birthday

Box 6
Activity Analysis and Computation of Fixed Points Presentation, undated

Includes presentation slides

Box 7
Computation of Equilibrium Presentation, 1998, undated

Includes presentation slides

Box 7
Indivisibilities in Production Presentation, undated

Includes notes and presentation slides

Box 7
Integer Programming Presentation, 2001, undated
(3 folders)

Includes notes and presentation slides

Box 7
Inventory Lecture, undated

Includes notes and presentation slides for lecture on inventory problems

Box 7
Presentation Notes, 1986-1987

Includes unlabeled notes for lectures

Box 7

3. Research and Notes, 1951-2015 and undated

Includes Scarf's notes and correspondence for research projects, and a portion of his collection of academic writings by others. Research notes include files on Scarf's work on general equilibrium theory, the computation of economic equilibrium and fixed points, his collaboration with Terje Hansen, and methods of integer programming to compute economic equilibrium under certain conditions. Of note is a rolodex with Scarf's bibliographic citations listing articles he referenced or read as part of his research.

Research

This subseries contains documents for Scarf's research projects, including his work with Terje Hansen, the core and general equilibrium, and computation of economic equilibrium and fixed points.

Computation of Equilibrium, 1973-1976, 1999-2011, undated
(11 folders)

Includes hand-written notes, copies of computer code, printouts of computer simulation output, and correspondence related to research on the computation of economic equilibrium

Box 7
Computation of Equilibrium, undated

Includes hand-written notes, copies of computer code, printouts of computer simulation output, and correspondence related to research on the computation of economic equilibrium

Box 8
Computer Programs, 1960s, 1980-1984

Includes copies of computer simulation code

Box 8
Core, 1966

Includes printouts of computer simulation output for research on computing the core of an economy

Box 8
Core and Equilibrium, 1965-1966, undated
(2 folders)

Includes hand-written notes and drafts for research on the core of cooperative games and competitive equilibrium

Box 8
Hansen's Basic code, 1967-1975

Includes copies of computer simulation code and simulation output related to Scarf's work with Terje Hansen on the computation of equilibrium

Box 8
Increasing Returns and International Trade, 1990-1991

Includes hand-written notes, copies of computer simulation output, and materials related to research on increasing returns to scale and trade between countries

Box 8
Integer Programming, 1968-1991
(11 folders)

Includes hand-written notes, copies of computer simulation code, and printouts of computer simulation output related to various research projects on integer programming approaches to the computation of economic equilibrium

Box 8
Integer Programming, 1992-2003
(5 folders)

Includes hand-written notes, copies of computer simulation code, and printouts of computer simulation output related to various research projects on integer programming approaches to the computation of economic equilibrium

Box 9
Lattice Points, 1978, 1970s-1980s
(4 folders)

Includes hand-written notes and materials for research on optimization in lattice-free polyhedra

Box 9
Misc. Notes, undated

Includes unlabeled miscellaneous notes

Box 9
Operations Research, 1979

Includes hand-written notes on operations research

Box 9
Pure Trade Examples, 1966

Includes computer simulation output for examples of pure trade economies

Box 9
Scarf - Production, 1963-1970
(2 folders)

Includes computer simulation output and materials for research on the computation of equilibrium in the presence of indivisibilities in production

Box 9
Reference Index, undated

Includes rolodex cards containing bibliographic information for sources used in Scarf's research. The rolodex is sorted by three major topics (Fixed Points, General, and Integer) and then alphabetically within topic.

Box 22

Writings by Others

Includes select articles and book chapters used in Scarf's research. Unindexed files are not indexed by topic; the other topics -- Fixed points, General, and Integer were assigned by Scarf.

Fixed Points: A-D, 1910-1970s
(3 folders)
Box 9
Fixed Points: D-R, 1950s-1984
(6 folders)
Box 10
General: A-Manne, 1952-1985
(7 folders)
Box 10
General: Mantel-Y, 1960-1985
(3 folders)
Box 11
Integer: Balas, 1992
Box 11
Integer: Be-Gi, 1974-1977
Box 11
Integer: Gomory, 1958-1961
Box 11
Integer: Gomory-H, 1960-1977
Box 11
Integer: J-W, 1960-1982
(4 folders)
Box 11
Unindexed: A-C, 1950s-2000s
(4 folders)
Box 11
Unindexed: D-K, 1960s-2000s
(15 folders)
Box 12
Unindexed: K-S, 1960s-2000s
(19 folders)
Box 13
Unindexed: S-Z, 1970s-2000s
(12 folders)
Box 14

4. Writings, 1952-2009 and undated

This series contains copies, reprints, drafts, notes, and other documents associated with Scarf's published works. These include: reprints and copies of published journal articles and book chapters; contributions to festschrift volumes; and documents from his referee activity for academic journals and publishers.

1975 Nobel Prize in Economics: Resource Allocation, 1975

Reprint and files related to article on award of Nobel to Koopmans and Kantorovich

Box 6
Algorithm for a Class of Nonconvex Programming Problems, 1966-1968

Discussion paper, drafts, and related correspondence

Box 6
Allocation of Resources in the Presence of Indivisibilities, 1994

Reprint, discussion paper, drafts, and related correspondence

Box 6
Analysis of Markets with a Large Number of Participants, 1961-1972
(2 folders)

Copy of conference volume Recent Advances in Game Theory published for participants, discussion paper, drafts, and related correspondence

Box 6
Approximate Solutions to a Simple Multi-Echelon Inventory Problem, 1962

Reprint

Box 6
Approximation of Fixed Points of a Continuous Mapping, 1967-1970
(2 folders)

Reprint, discussion paper, drafts, and related correspondence

Box 6
Bayes Solutions of the Statistical Inventory Problem, 1959-1975

Reprint and related correspondence

Box 6
Comment on: M. Hirota, 1980-1981
(2 folders)

Draft and related correspondence for comment on "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example"

Box 6
Complex of Maximal Lattice Free Simplices, 1994

Reprint, drafts, discussion paper, and related correspondence

Box 6
Computation and Modelling of Economic Equilibria, 1987

Draft and related correspondence for Preface to volume edited by A.J.J. Talman and G. van der Laan

Box 6
Computation of Competitive Prices in a General Equilibrium Model, undated

Draft

Box 6
Computation of Economic Equilibria, 1971-1974
(2 folders)

Correspondence related to the publication of book with Terje Hansen

Box 6
Computation of Equilibrium Prices: An Exposition (CFDP 473) Chapter in Handbook of Math. Economics, 1982

Discussion paper, drafts, and related correspondence

Box 6
Computation of Equilibrium Prices: An Exposition (CFDP 473) Chapter in Handbook of Math. Economics, 1982
(2 folders)

Discussion paper, drafts, and related correspondence

Box 15
Computation of General Equilibria: An Essay for the New Palgrave Encyclopedia, 1983-1988
(2 folders)

Copy of published version, drafts, and related correspondence

Box 15
Computing Price Equilibria of Linear Economic Models, undated

Draft

Box 15
Core of an N Person Game, 1967-1968

Reprint, discussion paper, drafts, and related correspondence

Box 15
Discrete Maximization, 1975

Draft

Box 15
Dynamic Theory of Consumer's Choice, 1959-1971

Discussion paper, drafts, and related correspondence

Box 15
Early Integer Programming, undated

Draft

Box 15
Economic Equilibrium and Soviet Economic Reform, 1991

Discussion paper, drafts, and related correspondence

Box 15
Elementary Proof of a Theorem on the Core of an N Person Game, undated

Draft

Box 15
Equilibrium Points of Two Person Games and the Brouwer Fixed Point Theorem, undated

Draft

Box 15
Example of an Algorithm for Calculating General Equilibrium Prices, 1969

Reprint, discussion paper, drafts, and related correspondence

Box 15
Exploration of a Stability Concept for Armed Nations, 1967

Draft

Box 15
Fixed-Point Theorems and Economic Analysis, 1983

Published version

Box 15
Foreword to Applied General Equilibrium and Economic Development, 1992

Copy of published version and related correspondence

Box 15
Froebenius Problem and Maximal Lattice Free Bodies, 1993

Reprint, discussion paper, drafts, and related correspondence

Box 15
Games with Partial Information, 1957

Reprint

Box 15
Generalized Basis Reduction Algorithm, 1992

Reprint, discussion paper, drafts, and related correspondence

Box 15
Generating Functions and MLFBS, undated

Draft

Box 15
Group Invariant Integration and the Fundamental Theorem of Algebra, 1952

Reprint

Box 15
Herbert Scarf, Growth Stories of the Economists, 2001

Published version in Chinese

Box 15
Implementation of the Generalized Basis Reduction Algorithm for Integer Programming, 1993

Reprint, discussion paper, and related correspondence

Box 15
Integral Polyhedra in Three Space, 1982

Reprint and related correspondence

Box 15
Integral Polyhedra in Three Space, 1985

Handwritten draft and notes

Box 14
Introduction to Fixed Points: Algorithms and Applications, 1977

Reprint

Box 15
Inventory Models and Related Stochastic Processes, 1958

Copy of published version

Box 15
Inventory Models of the Arrow-Harris-Marschak Type with Time Lag, 1958

Copy of published version

Box 15
Inventory Problems with Random Lead Times, undated

Draft

Box 15
Inventory Theory, 2002

Reprint

Box 15
Karlin Festschrift, 1988-1990

Reprint, drafts, and related correspondence for contribution, A Theorem in Search of a Simple Proof, to volume in honor of Samuel Karlin

Box 15
Koopmans Memoirs, 1975-1995

Reprint, drafts, and related correspondence for biographical memoir of Tjalling Koopmans published by the National Academy of Sciences

Box 15
Limit of the Core of an Economy, 1970-1972

Reprint, drafts, and related correspondence

Box 15
Limit Theorem on the Core of an Economy, 1963-1966

Reprint, includes French translation

Box 15
Mathematical Programming and Economic Theory, 1990

Published version, reprint, discussion paper, draft, and related correspondence

Box 15
Matrices with Identical Sets of Neighbors, 1998

Reprint and discussion paper

Box 15
Maximization of an Integral Subject to Constraints, 1955

Working paper

Box 15
Min-Max Solution of an Inventory Problem, 1958

Copy of published version

Box 15
Neighborhood Complexes and Generating Functions for Affine Semigroups, 2006

Reprint

Box 15
Neighborhood Systems for Production Sets with Indivisibilities, 1983-1986

Reprint, drafts, and related correspondence

Box 15
Note on Stochastic Processes with plus-minus 1 Variate, 1953

Draft

Box 16
Notes on the Core of a Productive Economy, 1963-1986

Reprint, drafts, and notes

Box 16
Notes on the Use of a Class of Algorithms (Part 1), undated

Draft

Box 16
Observation on the Structure of Production Sets with Indivisibilities, 1977
(2 folders)

Reprint, discussion paper, drafts, notes, and related correspondence

Box 16
On the Application of a Recent Combinatorial Algorithm, 1968
(2 folders)

Discussion paper, drafts, and related correspondence

Box 16
On the Computation of Equilibrium Prices, 1967

Copy of published version, discussion paper, drafts, and related correspondence

Box 16
On Cores and Indivisibility, 1972-1974

Copy of published version, working paper, drafts, and related correspondence

Box 16
On Differential Games with Survival Payoff, 1957

Reprint and copy of draft

Box 16
On the Existence of a Cooperative Solution for a General Class of N-Person Games, 1970-1992
(2 folders)

Reprint, discussion paper, drafts, related correspondence, and 1992 re-publication

Box 16
Optimal Inventory Planning When Sales are Discretionary, 2005

Reprint

Box 16
Optimal Policies for a Multi-Echelon Inventory Problem, 1960, 2004
(2 folders)

Reprint and 50th anniversary re-publication

Box 16
Optimality of (S,s) Policies in the Dynamic Inventory Problem, 1959, 1993
(2 folders)

Reprint, discussion paper, drafts, related correspondence, and republished version

Box 16
Origins of Fixed Point Methods, 1991

Copy of published version, draft, and related correspondence

Box 16
Outline of Some Results on Production and the Core, undated

Draft

Box 16
Preface to Proceedings of Conference on Economic Equilibria: Computation and Modelling, 1986-1987

Drafts and related correspondence

Box 16
Production Sets with Indivisibilities Part 1, 1979-1981
(2 folders)

Reprint, discussion paper, drafts, and related correspondence

Box 16
Production Sets with Indivisibilities: The Case of Two Activities / Part 2, 1980-1981

Reprint, draft, and related correspondence

Box 16
Recursive Argument for K-Concavity, 2000

Draft

Box 16
Refereeing and Reviewing, 1987-2001

Includes referee reports and associated correspondence with editors

Box 16
Remark on Quinzii's Proof that the Matching Problem Leads to a Balanced Game, 2009

Draft

Box 16
S,s Rule is an Optimal Trading Strategy in a Class of Commodity Price Speculation Problems, 2000

Draft

Box 16
Scarf Selected Papers / Kehoe, 1994-2001

Copy of published version, drafts, related correspondence, and other documents for collected volume Scarf's papers

Box 16
Shaped Sources for Teletherapy Units, 1953

Reprint

Box 16
Shapes of Polyhedra, 1988-1990
(2 folders)

Reprint, drafts, and related correspondence

Box 16
Shortest Integer Vectors, 1993

Reprint, discussion paper, drafts, and related correspondence

Box 16
Solution of Systems of Piecewise Linear Equations, 1975-1976

Reprint, discussion paper, and related correspondence

Box 17
Some Additional Remarks to "Notes on the Core", 1963

Draft

Box 17
Some Examples of Global Instability of the Competitive Equilibrium, 1960

Copy of published version

Box 17
Some Remarks on Bayes Solutions to the Inventory Problem, 1960

Reprint

Box 17
Survey of Analytic Techniques in Inventory Problems, 1963

Reprint

Box 17
Test Sets for Integer Programs, 1997

Reprint

Box 17
Testing for Optimality in the Absence of Convexity, 1984-1986

Reprint, drafts, and related correspondence

Box 17
Thesis, 1954

Copy of Scarf's doctoral thesis titled "Differential Operators on Manifolds, and Applications to Stochastic Processes", and related notes

Box 17
Topological Structure of Maximal Lattice Free Convex Bodies: The General Case, 1994

Discussion paper and draft

Box 17
Two New Proofs of Afriat's Theorem, 2004

Reprint and discussion paper

Box 17
Unimodular Matrices and a Covering Problem, 1972

Draft

Box 17
Uniqueness of Equilibrium in the Multi-Country Ricardo Model, 2003

Discussion paper

Box 17
von Neumann Model, undated

Draft and notes for paper titled "Some Suggestions for Computing the von Neumann Path of Maximal Proportional Growth"

Box 17

5. Academia, 1957-2015 and undated

Includes teaching materials, committee, departmental, and other work for Scarf's professorship at Yale and the Cowles Foundation.

Applied Mathematics, 1988

Includes documents related to Yale's applied math graduate program

Box 17
Computer Information - Misc., 1988-1990
Box 17
Cowles Foundation, 1964-2015

Includes files related to Scarf's service as Director of Cowles

Box 17
Cowles Foundation: Director's Fund, 1982-1989
Box 17
Dean of Graduate School Search Committee, 1997

Includes files related to service as committee member

Box 17
Discrete Math Program, 1987-1997

Includes files related to Yale's discrete mathematics program

Box 17
Economics Department, 1985-2009

Includes files for routine department business

Box 17
Economics Department: Annual Activities Report, 1968-1997

Includes copies of Scarf's annual reports summarizing professional activities

Box 17
Economics Department: Dissertations, 1979

Includes files related to serving on dissertation committees

Box 17
Grad Search Committee, 1990-1993
(2 folders)

Includes files related to search for dean of Yale's graduate school

Box 17
Jonathan Edwards College, 1992-1996

Includes files related to service as faculty advisor to students of the college

Box 17
Master Search Committee - Jonathan Edwards College, 1991-1996
(2 folders)
Box 17
Math-Econ Seminar, 1986
Box 17
Montias Material, 1996

Includes files related to faculty meeting tribute to Michael Montias

Box 17
Scarf: Leave of Absence, 1969-1970, 1980-1981, 1985-1986
(3 folders)
Box 17
Scarf: Job Offers, 1962-1987
Box 17
Scarf: Yale Committees, 1975-1987

Includes files for service on various committees

Box 17
Scholarships and Student Aid, 1991

Includes promotional materials

Box 17
Search Committee - Dean, Music School, 1988-1992
Box 17
Sterling Grant, 1991-1994

Includes files related to grant funding

Box 17
Yale: Appointments, 1963-1995
Box 17
Yale: College, 1991-1999

Includes files for various routine matters

Box 17
Yale: Graduate School, 1992-1998

Includes files for routine business within the graduate school

Box 17
Yale: Honorary Degrees, 1995
Box 17
Yale: Restructuring, 1989-1992
Box 17
Yale: School of Organization & Management, 1975-1997

Includes files for routine business within the School of Oragnization and Management

Box 17
Yale: Tribunal, 1969-1974

Includes files for proposed university-wide tribunal

Box 17
Yale: Tricentential Planning Committee, 1990
Box 17
Letters of Recommendation: A, 1964-1994
(2 folders)
Box 17
Letters of Recommendation: F-Z, 1964-1998
(8 folders)
Box 18
Applied Math 450a (Discrete Mathematics, Integer Programming and Lattice Theory), 1987
(2 folders)
Box 18
ECON 35b (Topics in Mathematical Economics I), 1975

Includes lecture notes

Box 18
ECON 100, 1971

Includes files for computer use

Box 18
ECON 107 (Mathematical Economics), 1967-1971
(3 folders)

Includes lecture notes and sample assignments and exams

Box 18
ECON 107a (Mathematical Economics), 1975-1976
(2 folders)

Includes lecture notes and sample assignments and exams

Box 18
ECON 107b (Mathematical Economics), 1972, 1977
(2 folders)

Includes sample exams

Box 18
ECON 109 (Topics in Mathematical Economics II), 1971-1972

Includes files for computer use

Box 18
ECON 120 (Economic Statistics), 1972

Includes sample assignments and exams

Box 18
ECON 155 (Mathematical Economics I), 2005

Includes syllabus and other course documents

Box 18
ECON 155a (Mathematical Economics I), 1984

Includes lecture notes

Box 14
ECON 155a, 156b (Mathematical Economics I, II), 1990-1993

Includes lecture notes

Box 18
ECON 156b (Mathematical Economics II), 1991

Includes lecture notes and syllabi

Box 18
ECON 500a (Microeconomic Theory), 1988, 1994-1995
(2 folders)

Includes sample assignments and exams, and course syllabi (including iteration co-taught with Truman Bewley)

Box 18
ECON 500a (Microeconomic Theory), 1988

Includes lecture notes

Box 14
ECON 501 (Microeconomic Theory, undated

Includes lecture notes

Box 14
ECON 501a, 501b (Microeconomic Theory), 1994-1997

Includes sample assignments and exams, as well as lecture notes

Box 18
ECON 501b (Microeconomic Theory), 1994-1997
(4 folders)

Includes sample assignments and exams, as well as syllabi and lecture notes

Box 18
ECON 526b (Discrete Mathematics, Integer Programming and Lattice Theory), 1990

Includes syllabus

Box 19
ECON 530, undated

Includes lecture notes

Box 14
ECON 530a (Mathematical Economics), 1978-1986
(3 folders)

Includes syllabi, sample exams, and lecture notes

Box 19
ECON 531b (Mathematical Economics II), 1980-1996
(4 folders)

Includes syllabi, sample exams, and lecture notes

Box 19
ECON 532a (Workshop in Economic Theory and Mathematical Economics, 1979

Includes lectures notes

Box 19
ECON 532b (Applied General Equilibrium), 1992

Includes syllabus and lecture notes

Box 19
ECON 537a/538b (Seminar on Discrete Math and its Applications), 1986-1987

Includes course schedule and syllabus

Box 19
Economic Theory Seminar, 1965-1966

Includes schedule

Box 19
Miscellaneous Reading Lists, 1985

Includes reading lists for courses taught by other faculty members

Box 19
OR/MS 526a (Discrete Mathematics, Integer Programming and Lattice Theory), 1987

Includes lecture notes

Box 19
STAT 116, 1957

Includes lecture notes, as well as sample assignments and exams for course taught at Stanford

Box 19
Queues, undated

Includes lecture notes

Box 19
Scarf's Lecture Notes, undated
(2 folders)

Compilation of lecture notes over various topics

Box 19
Lecture Notes: General Equilibrium and Fixed Points, undated

Includes hand-written lecture notes

Box 14
Lecture Notes: Mathematical Economics, 1983, undated
(6 folders)

Includes hand-written notes, presentation materials, and other documents related to various lectures on mathematical economics

Box 20
Lecture Notes: Operations Research, undated
(7 folders)

Includes hand-written notes, presentation materials, and other documents related to various lectures on operations research

Box 20
Math Econ Workshop, 1981

Includes lecture notes

Box 20
Misc. Lecture Notes, undated

Includes various unlabeled lecture notes

Box 20
Notes for Integer Programming Course at Stanford, 1978

Includes hand-written lecture notes

Box 20
OR 526b (Discrete Mathematics, Integer Programming and Lattice Theory), undated

Includes lecture notes

Box 20

6. Personal, 1963-2011 and undated

Contains biographical materials, photographs, and other personal documents.

Bibliography / Vita, 1974-1992

Includes copies of vita and various biographical questionnaires

Box 21
Distinguished Fellow - AEA (American Economic Association), 1992

Includes documents related to Scarf being named a distinguished fellow of the association

Box 21
Economic Theory Fellow, 2011

Includes award certificate from the Society for the Advancement of Economic Theory

Box 21
Newspaper Clippings, 1977-2006

Includes various newspaper clippings, mostly articles by Maggie Scarf

Box 21
Personal, 1963-1996

Includes documents and correspondence related to employment, as well as other personal items

Box 21
Personal Notes, 2009

Includes various personal notes

Box 21
Photographs, 1991, undated

Includes various official portraits taken by Yale University

Box 21
 

Historical Note

Herbert Eli Scarf (1930-2015) was an American economist and mathematician born in Philadelphia, Pennsylvania. He died at 85 on November 15, 2015 in Sag Harbor, New York. He earned his undergraduate degree (A.B. Mathematics) at Temple University in 1951 and completed his Ph.D. in Mathematics at Princeton University in 1954. From 1954 to 1957 Scarf worked in the Mathematics and Economics Departments and the RAND Corporation before joining Stanford University as an Assistant Professor of Statistics in 1957. In 1963 Scarf joined the Economics Department at Yale University and the Cowles Foundation for Research in Economics. Scarf remained at Yale for the remainder of his career as the Stanley Resor Professor of Economics (1970-1978) and the Sterling Professor of Economics (1979-2015). Scarf was awarded the Frederick W. Lanchester Prize (1973) and the John von Neumann Theory Prize (1983) by the Institute for Operations Research and the Management Sciences, and served as President of the Econometric Society in 1983.

A primary focus of Scarf's research was the computation of economic equilibrium and fixed points, which serves as the basis for applied general equilibrium models. Scarf also made significant contributions to understanding the stability of general equilibrium, the core of many-person games and its relation to general equilibrium, integer programming, and economic production with indivisibilities. Much of Scarf's work is a precursor to modern computational and simulation approaches to economics. His wife, Maggie Scarf, is the author of several award-winning books on family relationships and marriage.

Chronology

Date Event(s)
1930 Born in Philadelphia, PA
1951 A.B. Mathematics, Temple University
1953 Married Margaret (Maggie) Klein
1954 Ph.D. Mathematics, Princeton University
1954-1957 RAND Corporation
1957-1962 Assistant Professor of Statistics, Stanford University
1963-1970 Professor of Economics, Yale University
1967-1971 Director, Cowles Foundation for Research in Economics
1970-1978 Stanley Resor Professor of Economics, Yale University
1973 Frederick W. Lanchester Prize
1979-2015 Sterling Professor of Economics
1981-1984 Director, Cowles Foundation for Research in Economics
1983 John von Neumann Theory Prize
1983 President, Econometric Society
2015 Nov. 15 Died in Sag Harbor, NY


Click to find related materials at Duke University Libraries.

Provenance

The Herbert Scarf Papers were received by the David M. Rubenstein Rare Book & Manuscript Library as a gift in 2017.

Processing Information

Processed by Jonathan Cogliano, May 2018

Accessions described in this collection guide: 2017-0012