{"product_id":"minimax-and-applications-ding-zhu-du-9780792336150","title":"Minimax and Applications","description":"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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ding-Zhu Du\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0792336151\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780792336150\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/31\/1995\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 296\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.75d","brand":"Ding-Zhu Du","offers":[{"title":"Hardcover","offer_id":47422646747391,"sku":"9780792336150","price":169.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_17a7bb50-874a-44b0-8267-33c5d472370e.jpg?v=1761527882","url":"https:\/\/www.whiterainbookhouse.com\/products\/minimax-and-applications-ding-zhu-du-9780792336150","provider":"WR Book House","version":"1.0","type":"link"}