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Wassily Leontief

Wassily Leontief is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Wassily Leontief rather than just read about it. In short: Wassily Wassilyevich Leontief (Russian: Васи́лий Васи́льевич Лео́нтьев; August 5, 1905 – February 5, 1999) was a Russian-American economist known for his research on input–output analysis and how changes in one economic sector may affect other sectors. Leontief was awarded the Nobel Memorial Prize in Economic Sciences in 1973, and four of his doctoral students have also been awarded the prize (Paul Samuelson 1970, R…

Wassily Leontief — main illustration
Wassily Leontief — illustration

Key takeaways

  • Wassily Leontief belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Wassily Leontief to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Wassily Leontief from memory before moving on to harder problems.

Reference excerpt

Wassily Wassilyevich Leontief (Russian: Васи́лий Васи́льевич Лео́нтьев; August 5, 1905 – February 5, 1999) was a Russian-American economist known for his research on input–output analysis and how changes in one economic sector may affect other sectors. Leontief was awarded the Nobel Memorial Prize in Economic Sciences in 1973, and four of his doctoral students have also been awarded the prize (Paul Samuelson 1970, Robert Solow 1987, Vernon L. Smith 2002, Thomas Schelling 2005).

Biography

Early life Wassily Leontief was born on August 5, 1905, in Munich, German Empire, the son of Wassily W. Leontief (professor of Economics) and Zlata (German spelling Slata; later Evgenia) Leontief (née Becker). Wassily Leontief Sr. belonged to a family of Russian old-believer merchants living in St. Petersburg since 1741. Evgenia (Genya) Becker belonged to a wealthy Jewish family from Odessa. At 15 in 1921, Wassily Jr. entered Petrograd State University in present-day St. Petersburg. He earned his Learned Economist degree (equivalent to Master of Arts) in 1925 at the age of 19.

Opposition in USSR Leontief sided with campaigners for academic autonomy, freedom of speech and in support of Pitirim Sorokin. As a consequence, he was detained several times by the Cheka. In 1925, he was allowed to leave the USSR, mostly because the Cheka believed that he was mortally ill with a sarcoma, a diagnosis that later proved false. He continued his studies at the Friedrich Wilhelm University in Berlin and, in 1928, earned a Ph.D. degree in economics under the direction of Werner Sombart, writing his dissertation on The Economy as Circular Flow (original German title: Die Wirtschaft als Kreislauf).

Early professional life From 1927 to 1930, he worked at the Institute for the World Economy of the University of Kiel. There he researched the derivation of statistical demand and supply curves. In 1929, he traveled to China to assist its ministry of railroads as an advisor. In 1931, he went to the United States and was employed by the National Bureau of Economic Research. During World War II, Leontief served as consultant at the U. S. Office of Strategic Services.

Harvard Leontief joined Harvard University's department of economics in 1932 and in 1946 became professor of economics there. In 1949, Leontief used an early computer at Harvard and data from the U.S. Bureau of Labor Statistics to divide the U.S. economy into 500 sectors. Leontief modeled each sector with a linear equation based on the data and used the computer, the Harvard Mark II, to solve the system, one of the first significant uses of computers for mathematical modeling, along with George W. Snedecor's usage of the Atanasoff–Berry computer. Leontief set up the Harvard Economic Research Project in 1948 and remained its director until 1973. Starting in 1965, he chaired the Harvard Society of Fellows.

New York University In 1975, Leontief joined New York University and founded and directed the Institute for Economic Analysis. He taught graduate and undergraduate classes.

Personal life In 1932, Leontief married the poet Estelle Marks (1908–2005). Their only child, Svetlana Leontief Alpers, was born in 1936. Estelle wrote a memoir, Genia and Wassily, of their relations with his parents after they came to the US as émigrés. As hobbies Leontief enjoyed fly fishing, ballet, and fine wines. He vacationed for years at his farm in West Burke, Vermont, but after moving to New York in the 1970s moved his summer residence to Lakeville, Connecticut. Leontief died in New York City on Friday, February 5, 1999, at the age of 93.

Major contributions Leontief is credited with developing early contributions to input–output analysis and was awarded the Nobel Memorial Prize in Economics for his development of its associated theory. He has also made contributions in other areas of economics, such as international trade where he documented the Leontief paradox. He was also one of the first to establish the composite commodity theorem. Leontief was awarded the Nobel Memorial Prize in economics for his work on input–output tables. Input–output tables analyze the process by which inputs from one industry produce outputs for consumption or for inputs for another industry. With the input–output table, one can estimate the change in demand for inputs resulting from a change in production of the final good. The analysis assumes that input proportions are fixed; thus the use of input–output analysis is limited to rough approximations rather than prediction. Input–output was novel and inspired large-scale empirical work; in 2010 its iterative method was recognized as an early intellectual precursor to Google's PageRank. Leontief used input–output analysis to study the characteristics of trade flow between the U.S. and other countries, and found what has been named Leontief's paradox; "this country resorts to foreign trade in order to economize its capital and dispose of its surplus labor, rather than vice versa", i.e., U.S. exports were relatively labor-intensive when compared to U.S. imports. This is the opposite of what one would expect, considering the fact that the U.S.'s comparative advantage was in capital-intensive goods. According to some economists, this paradox has since been explained as due to the fact that when a country produces "more than two goods, the abundance of capital relative to labor does not imply that the capital intensity of its exports should exceed that of imports." Leontief was also a very strong proponent of the use of quantitative data in the study of economics. Throughout his life Leontief campaigned against "theoretical assumptions and non-observed facts". According to Leontief, too many economists were reluctant to "get their hands dirty" by working with raw empirical facts. To that end, Wassily Leontief did much to make quantitative data more accessible, and more indispensable, to the study of economics.

… excerpt ends here. Continue reading the full article.

Illustrations

Wassily Leontief illustration

Worked examples

Example 1 — a first encounter with Wassily Leontief

Start with the simplest possible case. Write down what Wassily Leontief claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Wassily Leontief before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Wassily Leontief ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Wassily Leontief

In research
Wassily Leontief appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Wassily Leontief in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Wassily Leontief is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1905 births, 1999 deaths, 20th-century American Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Wassily Leontief outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Wassily Leontief in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Wassily Leontief means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Wassily Leontief out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Wassily Leontief in simple terms?

Wassily Wassilyevich Leontief (Russian: Васи́лий Васи́льевич Лео́нтьев; August 5, 1905 – February 5, 1999) was a Russian-American economist known for his research on input–output analysis and how changes in one economic sector may affect other sectors. Leontief was awarded the Nobel Memorial Prize…

Why does Wassily Leontief matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Wassily Leontief?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Wassily Leontief.

Tags

  • 1905 births
  • 1999 deaths
  • 20th-century American Jews
  • 20th-century American economists
  • 20th-century American statisticians
  • 20th-century Russian scientists
  • Academics from Munich
  • American Nobel laureates
  • American people of Russian-Jewish descent
  • American people of Russian descent
  • Corresponding fellows of the British Academy
  • Distinguished fellows of the American Economic Association

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