Ding-Zhu Du (Hrsg.)
Minimax and Applications
Ebook (PDF Format)
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 minim…
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Beschreibung
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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Produktdetails
Weitere Autoren: Pardalos, Panos M. (Hrsg.)
- ISBN: 978-1-4613-3557-3
- EAN: 9781461335573
- Produktnummer: 38251907
- Verlag: Springer US
- Sprache: Englisch
- Erscheinungsjahr: 2013
- Seitenangabe: 296 S.
- Plattform: PDF
- Auflage: 1995
- Reihenbandnummer: 4
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