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 ...
Von Neumann's minimax theorem through Fourier-Motzkin elimination Fourier-Motzkin elimination, a standard method for solving systems of linear inequalities, leads to an elementary, short, and self-contained proof of von N... M Voorneveld 被引量: 0发表: 2024年 pacific journal of mathematics invari...
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 Ac...
theoremareneglectedaswell.Thispaperwillremedythisandshednewlight ontheseissues. Sincethebeginningoftheninetiestherehasbeenanincreasinginterestinthehisto- ryofgametheory,severalhistoricalpapershaveappearedandmostofthemofcourse mentionvonNeumann’s1928proofoftheminimaxtheorem.Acommonfeaturethough isthatnoneofthesegive...
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...
and G -convex space versions of the von Neumann type minimax theorem and the Nash equilibrium theorem as typical examples of applications of our theory.do... S Park - 《Korean Journal of Computational & Applied Mathematics》 被引量: 208发表: 2000年 John von Neumann's Conception of the Mini...
Also it should be noticed that von Neumann's results prepared the later discipline of linear and nonlinear programming. 展开 关键词: John von Neumann's Conception of the Minimax Theorem A Journey Through Different Mathematical Contexts, Artículo ...
VON NEUMANN, VILLE, AND THE MINIMAX THEOREM The proof presented by Von Neumann and Morgenstern (1944) is not Von Neumann's rather involved proof of 1928, but is based on what they called "The... H Ben-El-Mechaiekh,RW Dimand - 《International Game Theory Review》 被引量: 2发表: 2010...
Lee, A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty, Oper. Res. Lett. 39 (2011), no. 2, 109-114.Jeyakumar V, Li GY, Lee GM (2011) A robust von Neumann minimax theorem for zero-sum games under bounded payo¤ uncertainty. Oper. Res. Lett....
saddlepointminimax theoremsolution conceptThis section introduces the basic properties of two-person zero-sum (TPZS) games and presents their general solution concepts.doi:10.1002/9780470400531.eorms0739Behzad HezarkhaniJohn Wiley & Sons, Inc.