Herbert Scarf
E217362
Herbert Scarf was an influential American economist and mathematician known for his work on general equilibrium theory, fixed-point theorems, and integer programming.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Herbert E. Scarf | 5 |
| Herbert Scarf canonical | 4 |
| Herbert Eli Scarf | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1930664 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Herbert Scarf Context triple: [Tjalling C. Koopmans, notableStudent, Herbert Scarf]
-
A.
Harold W. Kuhn
Harold W. Kuhn was an American mathematician and game theorist best known for his work on nonlinear programming and the Kuhn–Tucker conditions.
-
B.
William Karush
William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
-
C.
Ralph E. Gomory
Ralph E. Gomory is an American mathematician and former IBM research executive known for his pioneering work in integer programming and for leadership in industrial research and science policy.
-
D.
Tjalling C. Koopmans
Tjalling C. Koopmans was a Dutch-American economist and Nobel laureate renowned for his contributions to econometrics and optimal resource allocation theory.
-
E.
Lawrence Klein
Lawrence Klein was an American economist and Nobel laureate renowned for his pioneering work in developing econometric models for forecasting economic trends.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Herbert Scarf Target entity description: Herbert Scarf was an influential American economist and mathematician known for his work on general equilibrium theory, fixed-point theorems, and integer programming.
-
A.
Harold W. Kuhn
Harold W. Kuhn was an American mathematician and game theorist best known for his work on nonlinear programming and the Kuhn–Tucker conditions.
-
B.
William Karush
William Karush was an American mathematician best known for his early formulation of the Karush–Kuhn–Tucker conditions, a cornerstone of nonlinear optimization theory.
-
C.
Ralph E. Gomory
Ralph E. Gomory is an American mathematician and former IBM research executive known for his pioneering work in integer programming and for leadership in industrial research and science policy.
-
D.
Tjalling C. Koopmans
Tjalling C. Koopmans was a Dutch-American economist and Nobel laureate renowned for his contributions to econometrics and optimal resource allocation theory.
-
E.
Lawrence Klein
Lawrence Klein was an American economist and Nobel laureate renowned for his pioneering work in developing econometric models for forecasting economic trends.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
academic
ⓘ
economist ⓘ human ⓘ mathematician ⓘ |
| academicDegree | PhD in mathematics ⓘ |
| awardReceived |
Frederick W. Lanchester Prize
ⓘ
linked to:
Lanchester Prize
INFORMS John von Neumann Theory Prize ⓘ
linked to:
John von Neumann Theory Prize
John von Neumann Theory Prize ⓘ |
| coAuthor | Terje Hansen ⓘ |
| countryOfCitizenship | United States of America ⓘ |
| dateOfBirth | 1930-01-25 ⓘ |
| dateOfDeath | 2015-11-15 ⓘ |
| doctoralAdvisor | Salomon Bochner ⓘ |
| educatedAt |
Princeton University
ⓘ
Temple University ⓘ |
| employer |
RAND Corporation
ⓘ
Stanford University ⓘ Yale University ⓘ |
| familyName | Scarf ⓘ |
| fieldOfWork |
economics
ⓘ
fixed-point theory ⓘ game theory ⓘ general equilibrium theory ⓘ integer programming ⓘ mathematics ⓘ operations research ⓘ |
| gender | male ⓘ |
| givenName | Herbert ⓘ |
| influenced | computational general equilibrium analysis ⓘ |
| influencedBy |
Gerard Debreu
ⓘ
linked to:
Gérard Debreu
Kenneth Arrow ⓘ |
| knownFor |
Scarf’s lemma in game theory and economics
ⓘ
work on fixed-point theorems ⓘ work on general equilibrium theory ⓘ work on integer programming ⓘ |
| memberOf |
American Academy of Arts and Sciences
ⓘ
Econometric Society ⓘ National Academy of Sciences ⓘ |
| name |
Herbert Eli Scarf
ⓘ
linked to:
Herbert Scarf
|
| nativeLanguage | English ⓘ |
| notableWork |
Scarf algorithm
ⓘ
Scarf’s lemma ⓘ The Computation of Economic Equilibria ⓘ |
| placeOfBirth |
Philadelphia, Pennsylvania, United States
ⓘ
linked to:
Philadelphia
|
| placeOfDeath |
Sag Harbor, New York, United States
ⓘ
linked to:
Sag Harbor, New York
|
| positionHeld |
Professor of Economics at Yale University
ⓘ
Sterling Professor of Economics at Yale University ⓘ |
| workLocation |
New Haven, Connecticut, United States
ⓘ
linked to:
New Haven, Connecticut
|
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Herbert Scarf Description of subject: Herbert Scarf was an influential American economist and mathematician known for his work on general equilibrium theory, fixed-point theorems, and integer programming.
Referenced by (10)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Herbert Scarf
linked to: Herbert Scarf
linked to: Herbert Scarf
linked to: Herbert Scarf
linked to: Herbert Scarf
linked to: Herbert Scarf