Biggs, Norman L. (Author)
In the twentieth century the theory of games was transformed. It began as an amusing pastime, and ended as a major branch of mathematical research and a key paradigm of economic theory. Here it will be argued that the transformation was the result of the work of mathematicians, such as Ernst Zermelo, John von Neumann and Dénes Kőnig, who also contributed to two other areas of mathematics that were emerging at the same time: the theory of sets and the theory of graphs.
...More
Book
Leonard, Robert;
(2010)
Von Neumann, Morgenstern, and the Creation of Game Theory: From Chess to Social Science, 1900--1960
(/isis/citation/CBB001023261/)
Book
Paul Erickson;
(2015)
The World The Game Theorists Made
(/isis/citation/CBB913160520/)
Article
Wate-Mizuno, Mitsuko;
(2014)
Mathematical Recreations of Dénes König and His Work on Graph Theory
(/isis/citation/CBB001551380/)
Chapter
Mancosu, Paolo;
Zach, Richard;
Badesa, Calixto;
(2009)
The Development of Mathematical Logic from Russell to Tarski, 1900--1935
(/isis/citation/CBB001210349/)
Article
Rashid, Salim;
(2007)
John von Neumann and Scientific Method
(/isis/citation/CBB000773913/)
Article
Guerraggio, Angelo;
Molho, Elena;
(2004)
The Origins of Quasi-Concavity: A Development between Mathematics and Economics
(/isis/citation/CBB000410839/)
Article
Sinkevich, G. I.;
(2011)
Waclaw Sierpinski and the Founding of the Warsaw School of Set Theory and Measure Theory
(/isis/citation/CBB001211381/)
Article
Moore, Gregory H.;
(1978)
The origins of Zermelo's axiomatization of set theory
(/isis/citation/CBB000009607/)
Article
Peckhaus, Volker;
Kahle, Reinhard;
(2002)
Hilbert's Paradox
(/isis/citation/CBB000200284/)
Article
Rybnikov, K. A.;
(2003)
Iz istorii matematicheskoi teorii igr
(/isis/citation/CBB000321063/)
Book
Ebbinghaus, Heinz-Dieter;
Peckhaus, Volker;
(2007)
Ernst Zermelo: An Approach to His Life and Work
(/isis/citation/CBB000831311/)
Chapter
Moore, Gregory H.;
(1983)
Lebesgue's measure problem and Zermelo's axiom of choice: The mathematical effects of a philosophical dispute
(/isis/citation/CBB000011154/)
Book
Leonard, Robert;
(2010)
Von Neumann, Morgenstern, and the Creation of Game Theory: From Chess to Social Science, 1900--1960
(/isis/citation/CBB001451816/)
Article
Moore, Gregory H.;
(1976)
Ernst Zermelo, A.E. Harward, and the axiomatization of set theory
(/isis/citation/CBB000021508/)
Article
Peckhaus, Volker;
(1990)
“Ich habe mich wohl gehütet, alle Patronen auf einmal zu verschiessen”: Ernst Zermelo in Göttingen
(/isis/citation/CBB000055021/)
Book
Moore, Gregory H.;
(1982)
Zermelo's axiom of choice: Its origins, development, and influence
(/isis/citation/CBB000026854/)
Thesis
Moore, Gregory H.;
(1979)
Zermelo's axiom of choice: Its origins and role in the development of mathematics (1821-1940)
(/isis/citation/CBB001563376/)
Article
Cassinet, Jean;
(1983)
La position d'Henri Poincaré par rapport à l'axiom du choix, à travers ses ecrits et sa correspondance avec Zermelo (1905-1912)
(/isis/citation/CBB000018957/)
Article
Bruin, Boudewijn de;
(2009)
Overmathematisation in Game Theory: Pitting the Nash Equilibrium Refinement Programme against the Epistemic Programme
(/isis/citation/CBB000932503/)
Thesis
Theodora Vardouli;
(2017)
Graphing Theory: New Mathematics, Design, and the Participatory Turn
(/isis/citation/CBB982144600/)
Be the first to comment!