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Marie-Ésprit Léon Walras, 1834-1910
The French economist Léon Walras (pronounced "Valrasse") has been hailed
by Joseph Schumpeter as "the greatest of all economists" (Schumpeter, 1954: p.827). Walras
was one of the three leaders of the Marginalist
Revolution, even though his greatest work, Elements of Pure Economics, was
published in 1874, three years after those of William Stanley Jevons and
Carl Menger.
Nonetheless, alone among the three revolutionaries, Léon Walras set forth
the new "marginalist" or "Neoclassical" theory in a formal
general equilibrium setting. Thus, he endowed it with the multi-market
considerations Jevons had largely avoided and the mathematical
precision Menger had eschewed. Léon Walras is widely
and rightfully regarded as the father of general
equilibrium theory.
From any biography, the principal elements of Walras's life can be
told. He was the son of the French proto-marginalist economist and
schoolteacher, Auguste Walras.
After
spending a Bohemian youth in Paris as a novelist and art critic, Léon Walras soon
followed his father's footsteps on almost every count: he adopted his father's socialist policy
positions
on taxation and land reform (in fact, he was a proponent of outright land nationalization) as well as his
main ideas on economic theory (subjectivist theory of value, the mathematization of economics). After spending
some unfruitful years in the cooperatives movement, Walras was appointed to the
Academy of Lausanne in
1870. It was there that he wrote and published the first edition of his magnum
opus, the Elements of Pure
Economics (1874).
Léon Walras's Elements should be familiar to every modern economist,
as it encompasses much of what is available to us in modern general
equilibrium theory. Walras set out his Elements in progressive
stages of complexity and generality. Its eight parts can be briefly
summarized:
- (1) Walras provides his definition of the scope of economics, subjective value theory
and the mathematical method;
- (2) discusses two-commodity pure exchange where demand and supply are derived from
utility-maximization; his "auctioneer" and the tatonnement process of
stability is introduced here.
- (3) introduces multi-market pure exchange; counts "equations and unknowns" to find
existence; considers multi-market tatonnement with an auctioneer.
- (4) incorporates production (in early editions, with fixed technology; in later
editions, with flexible technology and thus marginal productivity theory) with a no-profit
entrepreneur; shows how the demand for factors is derived as an indirect demand for
goods (see the "Walras-Cassel"
model).
- (5) introduces his theory of capital;
includes capitalization of future earnings and presents
a theory of saving and credit;
- (6) introduces his encaisse desirée theory of money;
sees money as providing future services and
thus "desired" in a general choice problem;
- (7) considers the continuous market and a growing economy.
- (8) provides reflections on imperfect competition and monopoly.
In the aftermath of the Elements, Walras tried to build up a correspondence with
virtually every important economist of the time, from America to Russia, in an
effort to popularize his new theory. He found sympathizers and followers among several
technically-gifted young Italians (e.g. Barone and Pareto) and Americans (e.g. Moore and Fisher).
However, for the most part,
he was largely ignored or dismissed by contemporary economists and
mathematicians.
In
1893, Walras was succeeded in his chair by his young disciple, Vilfredo Pareto.
The two men formed the core (and some argue the full extent) of what became
known as the Lausanne School".
While they agreed on most theoretical matters, the details of the subsequent
research program were dictated more by Pareto's interests than Walras's original
concerns.
Walras had envisaged his 1874 Elements as part of a larger work.
However, by the 1890s, Walras's mental capacities had begun to fail and it
became doubtful that he would be able to complete this grand oeuvre in
the manner he had originally intended Walras hastily compiled two
volumes, Studies in
Social Economics (1896) and the Studies in Applied Economics (1898).
Although little more than compilations of previously published articles, he
still considered these books complementary to the Elements. Tellingly, the
1874 Elements are subtitled "theory of social wealth",
while his 1896 book is subtitled "theory of the division of social
wealth" and his 1898 book "theory of the production of social
wealth." He regarded all three volumes as integral, indivisible and essential pillars for his
general economic theory.
Unfortunately, most economists dismissed these last two volumes as
"light" stuff or, worse, a mere platform for socialist
politics. Today, as then, the Elements alone is regarded as his
Walras's only "true" contribution. However, some economists
continue to believe that, because his other two volumes were not taken into
account, modern Neo-Walrasian G.E. theory has
not adhered to Walras's original vision, either in general purpose or in
detail.
Modern economists have also dismissed Walras's attempt, in a later (1896)
edition of the Elements, to take credit for the discovery of the marginal
productivity theory of distribution (and denouncing Wicksteed's
claim to priority), not only as lacking any basis in truth but even as
mean-spirited. It is widely acknowledged that Walras learnt this theorem
from Enrico Barone. (although, in a striking
coincidence, Walras had been handed the theorem on a piece of paper from the
Lausanne mathematician, Hermann Amstein, in 1877, but had not understood the
mathematics well enough the make heads or tails out of it!)
The last decade of Walras's life was spent in frustrated loneliness, bitter at
the neglect of his work, incapacitated by senility and mental illness. He died in
1910.
Major Works of Léon Walras
- Francis Saveur, 1858.
- "De la propriét$B!&(Bintellectuelle", 1859, Journal des Economistes.
- L'économie politique et la justice; Examen critique et réfutation des
doctrines économiques de M. P.J. Produhon précédes d'une introduction
l'étude de la question sociale, 1860.
- "Paradoxes économiques I", 1860, Journal des Economistes.
- "Théorie critique de l'impôt, 1861.
- De l'impôt dans le Cantont de Vaud, 1861.
- Les
associations populaires de consommation, de production et de crèdit, 1865.
- "La bourse et le crédit", 1867, Paris Guide.
- Recherche de l'idéal social, 1868.
- "Principe d'une théorie mathématique de l'échange", 1874, Journal des
économistes.
- Éléments d'économie politique pure, ou théorie de la richesse
sociale (Elements of Pure Economics, or the theory of social wealth), 1874.
(1899, 4th ed.; 1926, rev ed., 1954, Engl. transl.)
- "Correspondance entre M. Jevons, professeur a Manchester,
et M. Walras, professeur a Lausanne", 1874, Journal des économistes.
- "Un nuovo ramo della matematica. Dell' applicazione delle
matematiche all' economia poliitca", 1876, Giornale degli economisti.
- Théorie
mathématique de la richesse sociale, 1883.
- "Notice
autobiographique de Léon Walras",
1893.
- $B%N(Btudes d'économie sociale; Théorie de la répartition de la richesse sociale,
1896.
- $B%N(Btudes d'économie politique appliquée; Théorie de la production de la richesse
sociale, 1898.
- "Théorie du crédit", 1898, Revue d'économie politique.
- "Sur le equations de la circulations", 1899, Giornale degli
economisti
- "Cournot et l'Économique Mathématique", 1905, Gazette
de Lausanne.
- "La Paix par la Justice Sociale et le Libre $B%N(Bchange", 1907, Questions
Pratiques de Legislation Ouvriere.
- L'état
et le chemin de fer - in French.
- "Leone Walras, Autobiografia", 1908, Giornale degli Economisti.
- "Un initiateur en économie politique, A.A.
Walras", 1908, La Revue du Mois.
- "Économique et méchanique", 1909, Bulletin de la Societe Vaudoise de
Sciences Naturelles.
Resources on Leon Walras
- HET Page: Walrasian General Equilibrium Theory,
Walras-Cassel System, Walrasian Exchange,
Walras's Theory of Capital, Encaisse désirée of Leon Walras,
Phases of the Marginalist Revolution,
Marginal Productivity Theory of Distribution,
- Autobiography of Léon Walras (in
French).
- "Théorie
des Richesses: revue de Théories mathématiques de la richesse sociale par
Léon Walras et Recherches sur les principes mathématiques de la théorie des
richesses par Augustin Cournot", by Joseph Bertrand, 1883, Journal des Savants
- "The
Mathematical Theory of Political Economy: Review of Léon Walras, $B%N(Bléments d'économie
politique pure" by Francis Ysidro Edgeworth,
1889, Nature.
- "On the Application of Mathematics to Political
Economy: Address of the President of Section F of the British Association
for the Advancement of Science", by Francis Ysidro Edgeworth, 1889, JRSS
- "Review of Léon
Walras, $B%N(Bléments d'économie
politique pure, 2e édit.", by Ladislaus von Bortkiewicz,
1890, Revue d'économie
politique
- "La
Théorie mathématique de l'offre et de la demande et le co$B{9(B de production"
by Francis Ysidro Edgeworth, 1891, Revue d'économie politique.
- "Review of Walras's Elements d'économie
politique pure",1896, Le devenir social, Ann. 2, N.12,
p.1066-7.
- "Review of Walras's $B%N(Btudes d'économie sociale",
by A. Lr., 1897, Revue critique d'histoire et de littérature, Ann.
31, p.
159-60.
- "Notice of Walras's $B%N(Btudes d'économie
sociale" , 1897, L'année sociologique, Ann. 1,
p.499-500.
- "Notice of Walras's $B%N(Btudes d'économie politique appliquée"
, 1899, L'année sociologique, Ann. 3, p.498-9.
- "Review of Walras's Elements d'économie
politique pure" by C.A. Laisant, 1901, Revue générale des sciences pures et appliquées,
T. 12, p.1082
- "Letter from Jules Ferry to
Leon Walras", July 19, 1887, in J. Ferry, Lettres : 1846-1893.
- 1934 Econometric Society tribute to Lausanne: First
Draft, Final
Version
- Association Internationale Léon Walras
- The
Léon
Walras website by G.L. Fonseca
- Biography of Léon Walras
by G.L. Fonseca
- Bibliography of Léon
Walras's Works by G.L. Fonseca
- Walrasiana:
Selected secondary works on Léon Walras by G.L. Fonseca
- "Léon
Walras" by Donald A. Walker from New Palgrave, 1987 (PDF
version)
- "A Single Theory
or Two? Walras's Critique of Ricardo" by Heinz Kurz
- Centre d'études interdisciplinaires
Walras-Pareto at
Lausanne
- Centre
Auguste et Léon Walras
at Universit$B!&(BLumière Lyon 2
- Collected Economic Works of
Auguste and Léon Walras
- "Walras, Pareto: L'Ecole de
Lausanne" by Mathias Gantelet (Fr.)
- Léon
Walras entry at Britannica.com
- Bibliography
of Walras at Brisbane, UK
- Biography of
Walras at Vassar.
- "Walras"
by Professeur Friboulet at Gen$BoW(Be
- A short essay on Walras's
Law
- Walras
Page at McMaster
- Walras
Page at Akamac.
- Walras Page at Laura Forgette
- Walras
Page at Gallica
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