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Journal Article
History of Political Economy (1992) 24 (Supplement): 15–27.
Published: 01 December 1992
.... Princeton: Princeton University Press. Weyl , H. 1950 . Elementary Proof of a Minimax Theorum Due to von Neumann. Contributions to the Theory of Games 1, edited by H. W. Kuhn and A. W. Tucker, Annals of Mathematical Studies 24. Princeton: Princeton University Press. Zermelo , Ernst. 1913...
Journal Article
History of Political Economy (1992) 24 (Supplement): 283–303.
Published: 01 December 1992
.... See also regarding, 37,48
Social psychology “Applications to Games of Chance”
Bellman, Richard, 152, 249, 250 (1938), 46-49
Shubik, influence on experimental claim to priority in discovery of two-
game research of, 250,252 person games and minimax, 7...
Journal Article
History of Political Economy (1975) 7 (4): 549–565.
Published: 01 November 1975
..., 1967 . Fan , K. “Minimax Theorems”. Proceedings, National Academy of Sciences 39 ( 1953 ): 42 -47. Fisher , R. A. “Randomization and an Old Enigma of Card Play”. Mathematical Gazette 18 ( 1934 ): 294 -97. Fréchet , M. “Commentary on Three Notes of Emile Borel...
Journal Article
History of Political Economy (1991) 23 (S1): 227–255.
Published: 01 December 1991
... . Kline Morris . 1980 . Mathematics: The Loss of Certainty . New York : Oxford University Press . Koo Anthony . 1959 . Recurrent Objections to the Minimax Strategy . Review of Economics and Statistics 41 : 36 – 43 . Kreps David . 1990 . A Course in Microeconomic Theory...
Journal Article
History of Political Economy (2021) 53 (4): 595–631.
Published: 01 August 2021
... in Princeton as well as his reading of Walras’s, Wicksell’s and Cassel’s work would be key. I also explain how he came to realize that there existed a formal analogy between systems of linear equations and inequalities with which he characterized (stationary and dynamic) economies and the minimax theorem...
Journal Article
History of Political Economy (1992) 24 (Supplement): 165–175.
Published: 01 December 1992
..., mathematical problems. I remember working on
problems of spatial search: patterns of search for elusive submarines. My
associates on the project and I did not do two-party zero-sum equilib-
rium (or minimax) analysis, we just tried to find the best retort to a given
strategy for the adversary. “Best...
Journal Article
History of Political Economy (2022) 54 (5): 823–858.
Published: 01 October 2022
... into a saddle point exercise to then prove that there existed a unique solution/equilibrium, the minimax solution (Kjeldsen 2001 ). The minimax solution implied that there was one single rational strategy for both players allowing them to achieve their simultaneous and contradictory purposes. Not playing...
FIGURES
Journal Article
History of Political Economy (1992) 24 (Supplement): 29–76.
Published: 01 December 1992
... , Kenneth , D. Blackwell, and M. A. Girschick. 1949 . Bayes and Minimax Solutions of Sequential Decision Problems. Econometrica 17 ( July-October ): 213 -44. Aspray , William. 1990 . John von Neumann and the Origins of Modern Computing . Cambridge, Mass.: MIT Press. Baxter , James...
Journal Article
History of Political Economy (1992) 24 (Supplement): 113–147.
Published: 01 December 1992
...-
max solution was proposed by the mathematician Emile Bore1 in the
years 1921-27 (Frichet 1953). John von Neumann in a lone 1928 paper
proved the existence of the minimax solution for all zero-sum games
by means of the introduction of the innovation of the “characteristic
function,” which...
Journal Article
History of Political Economy (1992) 24 (Supplement): 77–93.
Published: 01 December 1992
... recently extended in a series of lectures”
(22). As we know, the invitation was accepted. Morgenstern wrote in
his diaries, “The maxims are lying around and need to be worked on.
In the meantime I began a paper with Johnny about games, minimax,
bilateral monopoly and duopoly” (12 December 1941...
Journal Article
History of Political Economy (2004) 36 (4): 639–666.
Published: 01 November 2004
... the equilibrium point,
was conceived of as a generalization of the existence result established
by John von Neumann with the minimax theorem for two-person zero-
sum games (2P ZSG). Both in a pioneering 1928 paper (von Neumann
[1928] 1959) and in the 1944 book written with Oskar Morgenstern, the
Theory...
Journal Article
History of Political Economy (2018) 50 (1): 1–48.
Published: 01 March 2018
... Economic Review 68 ( 2 ): xii – xiv . Arrow Kenneth J. Blackwell D. Girshick M. A. 1949 . “ Bayes and Minimax Solutions of Sequential Decision Problems .” Econometrica 17 ( 3 and 4 ): 213 – 44 . Arrow Kenneth J. Harris Theodore Marschak Jacob . 1951...
Journal Article
History of Political Economy (1992) 24 (Supplement): 95–112.
Published: 01 December 1992
... theory, was clearly envisioned
in 1944, since The Theory did not pursue this analysis past its zero-sum
minimax formulation. In fact, it is quite remarkable that the Nash equi-
librium concept was not defined nor its existence proven in The Theory
since at least Morgenstern was well aware...
Journal Article
History of Political Economy (2000) 32 (Suppl_1): 199–226.
Published: 01 December 2000
....
The payoff function for each player depends on the two reserve ratios,
and the game has a minimax solution. Midutani (1955, 56) states that
“the demonstration of the theorem in such a continuous case was given
independently by Dr. L. S. Shapley and by Dr. Tetsuya Gonoh.” The
paper offered a new way...
Journal Article
History of Political Economy (2000) 32 (Suppl_1): 25–70.
Published: 01 December 2000
...
a generalized statistical theory of the minimax solution in two-person,
zero-sum games. I use this case study of economic reasoning applied
to statistical quality control to explore the fertility of cross-disciplinary
communication necessitated by problem solving for a client. I begin,
however...
Journal Article
History of Political Economy (2024) 56 (3): 467–488.
Published: 01 June 2024
... elements, notably the idea of duality and the system of linear inequalities (instead of equations). It is there that von Neumann actually conjectured the connection between the minimax solution of two-person games and a solution to the system of linear inequalities (Kjeldsen 2001 , 2002 ). Hicks...
Journal Article
History of Political Economy (2021) 53 (2): 243–278.
Published: 01 April 2021
.... To support his position, the three notes were translated into English and published as alongside Fréchet s comments. The journal also included a response by von Neumann. In his response, von Neumann (1953) argued that without his minimax theorem that he 260 History of Political Economy 53:2 (2021) 21...
Journal Article
History of Political Economy (2007) 39 (3): 511–527.
Published: 01 September 2007
... 1981.
25. “The minimax theory begins with some of the ideas with which the theory of personal
probability, as developed in this book [Savage 1954], also begins. In particular, the notions
of person, world, states of the world, events, consequences, acts, and decisions presented in
§§ 2.2–5...
Journal Article
History of Political Economy (2005) 37 (Suppl_1): 71–90.
Published: 01 December 2005
... “antient constitution.” Supposition γ represents the “benevolent
despot” assumption—the assumption that some individuals (particularly
those in government) are not knaves.
Levy (2002, 131) notes that “von Neumann’s minimax loss approach
to decision making is absolutely central to robust [worst-case...
Journal Article
History of Political Economy (2020) 52 (S1): 168–190.
Published: 01 December 2020
... . “ Cost-Quality Relations in Bomber Airframes .” RAND Research Memorandum RM-536 . RAND Corporation Library , Santa Monica, California
Arrow
K. J.
Blackwell
D.
Girshick
M. A.
. 1949 . “ Bayes and Minimax Solutions of Sequential Decision Problems .” Econometrica 17...
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