Minimax and Applications (Hardcover) (ISBN-13: 9780792336150)

Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ", EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x, y) = maxminf(x, y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.

Author: Ding-Zhu Du
ISBN-10: 0792336151
ISBN-13: 9780792336150
Publisher: Springer
Language: English
Published: 10/31/1995
Pages: 296
Format: Hardcover
Weight: 1.35lbs
Size: 9.21h x 6.14w x 0.75d