Von Neumann proved the minimax theorem (existence of a saddle-point solution to 2 person, zero sum games) in 1928. While his second article on the minimax theorem, stating the proof, has long been translated from German, his first announcement of his result (communicated in French to the ...
This note provides an elementary and simpler proof of the Nikaid么-Sion version of the von Neumann minimax theorem accessible to undergraduate students. The key ingredient is an alternative for quasiconvex/concave functions based on the separation of closed convex sets in finite dimension, a result...
JohnvonNeumann’sConceptionoftheMinimax Theorem:AJourneyThroughDifferent MathematicalContexts TinneHoffKjeldsen CommunicatedbyJ.Gray 1.Introduction ThefirstpurposeofthispaperistotellthehistoryofJohnvonNeumann’sdevel- opmentoftheminimaxtheoremfortwo-personzero-sumgamesfromhisfirstproofof thetheoremin1928until19...
john von neumann’s conception of the minimax theorem a:冯诺依曼的极大极小定理的概念 热度: 计算机重要人物传记 冯·诺依曼 John Von 热度: 冯诺依曼PPT课件 热度: 冯.诺依曼(VonNeumann) VonNeumann,afamousHungarianmathematicianinamerica.Born inDecember3,1903inBudapest,Hungary,aJewishfamily. ...
"The strangest states of mind": chess, psychology and Emanuel Lasker's Kampf. "Deeply rooted, yet alien" : Hungarian Jews and Mathematicians. From Budapest to Gttingen: an apprenticeship in modern mathematics. "The futile search for the perfect formula": Von Neumann's minimax theorem. Equilibri...
von_Neumann代数和广义四元数代数上的映射 热度: john von neumann's conception of the minimax theorem a:冯诺依曼的极大极小定理的概念 热度: 相关推荐 Von Neumann 正则环上的 ! - 模 葛茂荣 (安徽大学 数学系,安徽 合肥 230039) 摘要:我们知道,Von Neumann 正则环上的倾斜模是投射模. 每个倾斜模是...
Early in his work, a paper by Borel on the minimax property led him to develop ... ideas which culminated later in one of his most original creations, the theory of games. In game theory von Neumann proved the minimax theorem. He gradually expanded his work in game theory, and with co...
While the optimal minimax strategy might be a ‘pure’ strategy, von Neumann showed it would often have to be a ‘mixed strategy’ and this means a spontaneous return of probability, even if the game itself does not involve probability. ...
However, in the 1920s John von Neumann single-handedly invented game theory, introducing the general mathematical concept of "strategy" in a paper on games of chance (Mathematische Annalen 100 [1928] 295-320). This contained the proof of his "minimax" theorem that says "a strategy exists ...
john von neumann’s conception of the minimax theorem a:冯诺依曼的极大极小定理的概念 热度: 钢结构稳定性分析(Stability analysis of steel structure) 热度: 相关推荐 von Neumann Stability Analysis of Semi-Implcit Flow Equations The figure below indicates the notation that I will use for spat...