{"product_id":"9780792336150","title":"Minimax and Applications","description":"\u003ch3\u003eNonconvex Optimization and Its Applications\u003c\/h3\u003e\u003ch1\u003eMinimax and Applications\u003c\/h1\u003e\u003ch3\u003eDing-Zhu Du | Panos M. Pardalos\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eComputers \/ Programming \/ Algorithms\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eTechniques 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.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e31 October 1995\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer US\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780792336150\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e296\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer US","offers":[{"title":"Default Title","offer_id":45578314809484,"sku":"9780792336150","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780792336150.jpg?v=1780592400","url":"https:\/\/lateknightbooks.com\/products\/9780792336150","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}