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...
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. ...
Neumanndoesn’tseemtohavebeenfullyawareofthisin1928,ratheritwasaninsight thatemergedgraduallyduring his work from 1928 until 1944 in which the minimax theorem – sometimes surprisingly – presented itself in different mathematical contexts. I will argue for this claim of gradually emerging insight through...
计算机重要人物传记 冯·诺依曼 John Von 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: 数学奇才`计算机之父冯·诺依曼 热度: 相关推荐 香侬香侬是现代信息论的著名创始人。1938年,香农在发表的论文中, 首次用布尔代数进行开关电路分析,并证明布尔代数...
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...
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: Stability Analysis of Parallel DC-DC Converters并联DC-DC变换器的稳定性分析 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-Impl...
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 ...