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Journal Article
History of Political Economy (2024) 56 (3): 467–488.
Published: 01 June 2024
...Ivan Boldyrev Abstract This article tells the story of the first international topological conference in Moscow (1935), an outstanding event that, for the first time, brought together the most notable American, European, and Soviet mathematicians, including those who would later play decisive roles...
Journal Article
History of Political Economy (2021) 53 (2): 213–241.
Published: 01 April 2021
... of Economic Studies 1 , no. 1 : 39 – 44 . Levinger George . 1957 . “ Kurt Lewin’s Approach to Conflict and Its Resolution: A Review with Some Extensions .” Journal of Conflict Resolution 1 , no. 4 : 329 – 39 . Lewin Kurt . 1936 . Principles of Topological Analysis , translated...
Journal Article
History of Political Economy (2023) 55 (1): 1–38.
Published: 01 February 2023
... mainly to prove the existence of a general economic equilibrium by using highly advanced mathematics, most notably topology (Weintraub and Mirowski 1994 ; Weintraub 2002 : chap. 4; Düppe and Weintraub 2014a ). Copyright 2023 by Duke University Press 2023 [email protected]...
Journal Article
History of Political Economy (2024) 56 (3): 417–440.
Published: 01 June 2024
... research thesis for the application process. Nachbin became the chair of Mathematical Analysis at the Philosophy College (where mathematics was then taught), with a thesis on topology and order theory (Nachbin [1950] 1965 ). Peixoto returned to Escola Politécnica as the chair of Rational Mechanics...
Journal Article
History of Political Economy (2024) 56 (3): 375–391.
Published: 01 June 2024
... of individuals makes the distinction between rational and social particularly intricate. Ivan Boldyrev displays this intricacy of rational and social aspects. Boldyrev provides a narrative of the first international topological conference in Moscow in 1935 and its enduring effects on economics...
Journal Article
History of Political Economy (2014) 46 (2): 346–348.
Published: 01 June 2014
..., at the formal level, of a topological veneer of the price
system. He also insists that economists arrived at general equilibrium theory so as to
fortify their separate and scientific standing, to achieve the rank of queen of the social
sciences (72). He goes further and suggests a teleological path...
Journal Article
History of Political Economy (1996) 28 (1): 128–131.
Published: 01 March 1996
... (cofounder with Jevons and Walras
of marginal utility theory) and as the inspiration for the radical Austrian project of
exploding neoclassicalism: both of these aspects may be found in his writings.
Reading Karen Vaughn’s book, I am reminded of the surprising topology of the
space defined...
Journal Article
History of Political Economy (2010) 42 (Suppl_1): 133–164.
Published: 01 December 2010
... mathematical tools could be in social science. He was
also at pains to stress that the mathematics of the Theory of Games—
which discarded the physicist’s tool kit of the calculus and differential
equations in favor of point-set theory and topology—made available new
forms of knowledge. The tools, Simon...
Journal Article
History of Political Economy (1992) 24 (Supplement): 15–27.
Published: 01 December 1992
... Society on 7 December 1926. Von Neumann’s proof was
a complicated one, combining elementary and topological concepts in a
manner not easy for the reader to follow, but it was a valid proof. In a
footnote, von Neumann (2511) remarked that “while this paper was put
into its final form, I learned...
Journal Article
History of Political Economy (2014) 46 (2): 348–352.
Published: 01 June 2014
... Press . 348 Book Reviews
economic growth or whether the market succeeds or fails. The success of economics
is mostly, if not exclusively, at the formal level, of a topological veneer of the price
system. He also insists that economists arrived at general equilibrium theory so...
Journal Article
History of Political Economy (2020) 52 (4): 683–707.
Published: 01 August 2020
... that it is a point of optimum if two of them have opposite signs. De Finetti analyzed also some topological aspects of the solutions obtained. He identified the entire set of optimal points, starting from the evident property that each point of the maximum of one of the n func- tions, given the value of the others...
Journal Article
History of Political Economy (2009) 41 (Suppl_1): 127–146.
Published: 01 December 2009
... or nonnegativity “depend in only
a simple way on the numerical values of the aij input coeffi cients,” namely,
“a good deal depends on the row- or column sums of a” (41). Moreover, the
properties of being decomposable or not are “topological” in nature. “Inde-
composability in particular is essentially...
Journal Article
History of Political Economy (2018) 50 (1): 1–48.
Published: 01 March 2018
... theory, the axiomatic method, topology and
xed point techniques, set theory, the theory of relations, and Bayesian
statistics. Cowles scholars engaged in mathematical modeling and devel-
oped experimental and computing approaches (Erickson et al. 2013, 14;
Isaac 2010) to redene theory...
Journal Article
History of Political Economy (2021) 53 (4): 595–631.
Published: 01 August 2021
... and of interest for mathematicians. None of these drafts, however, displayed the Brouwerian topological and Casselian dynamic perspectives that would be central for his 1937 growth model paper. 6. Princeton, 1933 35 6.1. Johnny Meets Abraham Flexner In April 1933, von Neumann was appointed at the recently created...
Journal Article
History of Political Economy (2022) 54 (5): 823–858.
Published: 01 October 2022
...-point theorem, connecting these mathematical objects with convex theory. Concomitantly, von Neumann also became aware of the use of convex theory by the French mathematician Jean Ville ( 1938 ) in the demonstration of the minimax theorem, which simplified the topological proof that von Neumann had...
FIGURES
Journal Article
History of Political Economy (2014) 46 (4): 677–693.
Published: 01 November 2014
... ): 319 – 33 . Viner Jacob . 1925 . “ The Utility Concept in Value Theory and Its Critics. ” Journal of Political Economy 33 ( 4 ): 369 – 87 . Wakker Peter . 1988 . “ The Algebraic versus the Topological Approach to Additive Representations. ” Journal of Mathematical Psychology...
Journal Article
History of Political Economy (2024) 56 (3): 561–586.
Published: 01 June 2024
... and statistical theory to social phenomena. 15 Hotelling already had a master's degree in science and had obtained his PhD in mathematics at Princeton in topology (Gaspard and Mueller 2021 ). Somehow, during this period, Hotelling also learned statistics, most probably by self-training. At his arrival...
Journal Article
History of Political Economy (2021) 53 (5): 925–947.
Published: 01 October 2021
.... . . . This bias will probably be permanent. 6 Princeton was home to one of the liveliest and most stimulating mathe- matical communities of the time, and from 1921 to 1924 Hotelling studied there and wrote his PhD dissertation in mathematics (topology) under the supervision of Oswald Veblen. In Princeton he also...
Journal Article
History of Political Economy (2016) 48 (4): 635–655.
Published: 01 December 2016
... and reports on recent publications, there were lectures given by
invited guests. Proceedings of the colloquium were published under the
editorship of Menger with the assistance of one of his students (see Sig-
mund, in Menger 1998).
Geometry and topology figured prominently among the colloquium...
Journal Article
History of Political Economy (2019) 51 (S1): 155–179.
Published: 01 December 2019
... is made of Lev Pontryagin optimal control theory, topological network theory, gen- eral equilibrium, and xed-point theory. Optimization is built around social utility functions, with local objective criteria derived from them. One model (Faerman) uses a minimum-time criterion to achieve social...
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