Minimax and Applications - Couverture rigide

Couverture rigide

ISBN 10 : 0792336151 ISBN 13 : 9780792336150

Editeur : Springer, 1995

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0792336151
• ISBN 13: 9780792336150
• Reliure: Relié
• Nombre de pages: 296
• Éditeur: Ding-Zhu Du, Pardalos Panos M.
• Coordonnées du fabricant: non disponible