{"product_id":"minimax-and-applications-von-ding-zhu-du-panos-m-pardalos-hrsg","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461335597\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9781461335597","offer_id":39415250714717,"sku":"9781461335597","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e6e863dc-ae09-4965-9cc2-10afd4d9ce23.jpg?v=1780027985","url":"https:\/\/shop.autorenwelt.de\/products\/minimax-and-applications-von-ding-zhu-du-panos-m-pardalos-hrsg","provider":"Autorenwelt Shop","version":"1.0","type":"link"}