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portada Minimax and Applications
Type
Physical Book
Publisher
Author
Language
English
Pages
296
Format
Paperback
Dimensions
23.4x15.6x1.7 cm
Weight
0.44 kg.
ISBN13
9781461335597
Categories

Minimax and Applications

Ding-Zhu Du ; Pardalos, Panos M. (Author) · Springer · Paperback

Minimax and Applications - Ding-Zhu Du ; Pardalos, Panos M.

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Synopsis "Minimax and Applications"

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.

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